Wire Gauge
Enter a wire's diameter in millimeters and get the corresponding American Wire Gauge (AWG) size, computed with a logarithmic approximation of the AWG scale. Includes a worked example and a standard AWG reference table.
Use these engineering calculators to solve electrical, mechanical, civil, and ventilation problems. Circuit designers can estimate trace impedance with the Microstrip PCB Impedance calculator, select an LED Series Resistor, or work out Real and Reactive Power. Mechanical engineers and students can explore spring behavior with the Spring Resonant Frequency calculator and assess loading with the Cantilever Beam Stiffness calculator.For construction planning, calculate material quantities with Concrete Volume, Concrete Mix Ratio, and Number of Paving Stones. Ventilation Airflow Requirement and Pipeline Flow Rate help engineers and installers plan building services and piping systems.
Enter a wire's diameter in millimeters and get the corresponding American Wire Gauge (AWG) size, computed with a logarithmic approximation of the AWG scale. Includes a worked example and a standard AWG reference table.
Convert watts to amps or amps to watts for DC, single-phase AC and three-phase AC circuits. Enter power, voltage and power factor to get current, apparent power and suggested breaker size.
Calculate R1 + R2 (line and earth conductor resistance) from the total earth fault loop impedance and the source impedance. Enter both values in ohms to verify circuit earth continuity.
Estimate a device's power consumption in milliamp-hours (mAh) from its current draw in mA and operating time in hours. Optionally enter the voltage to also get the estimated energy, useful for battery life and power budgeting.
Convert between horsepower (HP) and watts (W) in either direction. Supports electrical, mechanical and metric horsepower — just enter a value, pick the horsepower type and units, and get the result instantly.
Find the correct circuit breaker size for any load. Enter the load power (or current), voltage, phase and power factor, and the calculator applies the 125% continuous-load rule and rounds up to the nearest standard NEC breaker rating.
Convert apparent power in kilovolt-amperes (kVA) to current in amperes (A). Enter the power and voltage, and the calculator returns both single-phase and three-phase current.
Calculate the equivalent resistance of any number of resistors connected in parallel. Enter resistance values separated by commas (in ohms) and get the total resistance instantly.
Calculate real power (W), reactive power (VAR), and apparent power (VA) in an AC circuit from RMS voltage, current, and the phase angle between them. Works for single-phase loads.
Convert frequency-domain components X[k] back into a time-domain sequence x[n] with this free Inverse Discrete Fourier Transform (IDFT) calculator. Enter comma-separated real or complex values and get the result instantly.
Estimate the prospective short-circuit (fault) current at a point in an electrical system. Enter the supply voltage, the total impedance up to the fault point, and choose three-phase or single-phase.
Calculate the voltage drop along a copper, aluminum, or silver cable. Enter current, supply voltage, length, and cross-section to get the drop in volts, percent, and the voltage at the load.
Calculate the net specific work of a gas turbine (Brayton cycle) from the four cycle temperatures and the specific heat. Enter T1, T2, T3, T4 and cp to get turbine work, compressor work and net work in kJ/kg.
Calculate the quality factor (Q) of an optical resonator from its central wavelength and spectral linewidth (FWHM). Enter both values in nanometers to get Q instantly.
Calculate the capacitor bank size (kvar and µF) needed to raise your power factor from its current value to a target value. Enter real power, existing and target power factor, voltage, frequency and phase configuration.
Calculate the sound quality factor (Q) of a speaker from its resonant frequency and the two -3 dB frequencies. Enter f0, f1 and f2 in Hz to get the Q factor that describes bandwidth and resonance sharpness.
Calculate the total active power in a three-phase three-wire system using the two-wattmeter method. Enter the two line voltages (V12, V13), line currents (I2, I3) and the phase displacement angle to get the result in watts.
Calculate how many solar panels you need from your daily energy demand, peak sun hours, system efficiency and panel wattage. Enter your kWh per day and get the required array size and panel count.
Check NEC conduit fill for up to six groups of insulated wires. Select the conduit type and trade size, then enter each wire group’s insulation, size, and quantity.
Calculate the effective electrical length of a 90-degree mitered corner in a PCB transmission line from the conductor width and height. Enter the trace dimensions in mm to get the extra length added by the chamfered bend.
Calculate the specific work of expansion or compression from the initial and final pressure and the fluid density. Enter pressures in kPa and density in kg/m³ to get results in kJ/kg.
Find the elevation at any point along a parabolic vertical curve. Enter the distance from the PVC, the initial and final grades, the curve length, and the PVC elevation to get the exact elevation y in feet.
Estimate the dynamic wind pressure and total wind force on any exposed surface, such as a wall, sign, panel or structure. Enter the wind speed, air density, exposed area and shape coefficient to get pressure in Pa and force in N and lbf.
Estimate earthwork volume between two cross sections using the average end area method. Enter the two cross-sectional areas and the distance between them to get the cut or fill volume.
Calculate rafter length from roof pitch (e.g., 6/12) or roof angle, with optional overhang. Enter span, overhang, and pitch or angle to get the exact rafter length in feet for cutting and framing.
Estimate how many tiles you need for a room's floor plus skirting. Enter room and tile dimensions in mm, skirting height, door width and wastage percentage to get the exact tile count.
Calculate the Floor Space Index (FSI), also known as Floor Area Ratio (FAR), by entering the total covered (built-up) area and the land area. A quick check for zoning compliance and development density.
Estimate the maximum stationary live load a concrete slab-on-grade can carry. Enter allowable fiber stress, slab thickness, subgrade reaction modulus, and modulus of elasticity to get the capacity in psf.
Calculate the Rankine active earth pressure on a retaining wall from the retained soil height, unit weight and friction angle. Enter H, γ and φ to get the active pressure coefficient Ka and the resultant lateral force Pa.
Estimate how many paving stones you need for a patio, driveway or walkway. Enter the area dimensions and the paver size to get the required quantity plus a recommended total with a 10% wastage allowance.
Estimate peak stormwater runoff from a small drainage area using the Rational Method Q = C·i·A. Enter the drainage area, design rainfall intensity and runoff coefficient to get the peak flow in L/s, m³/s, ft³/s and more.
Enter the X and Y coordinates of the points that outline an earthwork cross section, and this calculator returns its area using the shoelace formula. Useful for surveyors and civil engineers estimating excavation, fill, and grading quantities.
Calculate the number of risers, actual riser height, number of treads and total run of a staircase. Enter the total rise, desired step height and tread depth to plan a comfortable, code-friendly stair layout.
Calculate the required belt length for a two-pulley drive from the pulley diameters and center distance. Supports open and crossed belt arrangements in metric or imperial units.
Calculate the volume of rectangular stepping stones in cubic yards. Enter length, width, depth in inches and the number of stones to find how much concrete you need for one stone or the whole set.
Enter the vertical load and footing plan dimensions to find the average soil bearing pressure under the footing, and compare it against the allowable bearing pressure to see if the design is OK.
Calculate the concrete volume of circular stepping stones in cubic yards. Enter the diameter, thickness and number of stones to find how much concrete you need for one stone or the whole batch.
Calculate the concrete volume of triangular stepping stones in cubic yards. Enter the base, height and depth of each stone plus how many you need, and get the volume of a single stone and the whole batch.
Estimate the concrete needed to fill cylindrical forms such as piers, columns, Sonotubes, or drilled shafts. Enter the radius, depth, and quantity to get the total volume in cubic yards.
Estimate how many bags of cement and how much sand you need for plastering. Enter the plastering area, thickness and mix ratio to get instant quantities.
Estimate how much concrete you need to pour a staircase. Enter the number of steps, riser height, tread depth, and stair width to get the required concrete volume in cubic yards.
Estimate how much concrete you need for a wall in cubic yards. Enter the wall's length and height in feet and its thickness in inches to get the concrete yardage for ordering ready-mix.
Estimate how much cement, sand, and coarse aggregate you need for a slab, beam, or circular column. Enter the dimensions, pick your units, and set the mix ratio (e.g., 1:3:3) to get the volume of each ingredient.
Estimate how many concrete blocks you need for a wall. Enter the block dimensions in mm and the wall height and width in metres — the calculator divides the wall area by the block area and rounds up to the next whole block.
Calculate the maximum wall load a concrete slab-on-grade can support (lbs/ft). Enter the concrete compressive strength (psi), modulus of subgrade reaction (pci), and slab thickness (in).
Calculate the concrete volume for a rectangular footing with an inner void. Enter the outside and inside dimensions plus the thickness to get the result in cubic feet and cubic yards.
Estimate the concrete needed to fill a round column in cubic yards. Enter the diameter in inches and the height in feet — useful for piers, form tubes and structural columns.
Enter relative humidity, concrete tensile stress, and shrinkage strain to estimate the maximum slab length between joints and reduce the risk of shrinkage cracking.
Estimates the volume of concrete, in cubic yards, needed to pour a curb and gutter barrier. Enter the length of the run plus the gutter width, gutter depth, and curb height in inches.
Estimate how much cement, sharp sand, gravel and water you need for a concrete pour. Enter the width, height and depth of your slab, footing or structure in meters and get material quantities instantly.
Calculate the weight of reinforcing steel bars from diameter, length, quantity and steel density. Get weight per bar and total weight in kg and pounds, plus kg/m for site checks.
Calculate the concrete volume needed for a rectangular footing or slab pour. Enter the footing length in feet plus the width and depth in inches, and get the result in cubic yards.
Work out how many rebar bars fit evenly across a slab, footing or wall and the exact equal centre-to-centre spacing. Enter the placement width, edge cover and target spacing.
Estimate how much concrete you need for a rectangular slab. Enter the width and length in feet and the thickness in inches to get the pour volume in cubic yards.
Calculate the output pulse duration of a 555 timer in monostable (one-shot) mode. Enter the resistance and capacitance values with their units to get the time delay in seconds.
Calculate the resistance, current, and power of a nichrome wire from its diameter, length, and applied voltage. Useful for designing heating elements, foam cutters, hotends, and DIY heating coils.
Enter any resistance and capacitance to instantly get the RC time constant τ, plus charge and discharge times to 50%, 90%, 95% and 99% of the final voltage.
Calculate the 555 timer's output pulse duration in monostable mode. Enter your timing resistor (R) and capacitor (C) values and get the delay from T = 1.1 × R × C.
Calculate the equivalent capacitance of capacitors connected in series or parallel. Enter your capacitor values and an optional applied voltage to see the charge and voltage on each capacitor.
Calculate the correct series resistor for a Zener diode voltage regulator. Enter the input voltage, Zener voltage, Zener current, and load current to get the required resistance in ohms.
Calculate the LM317 output voltage from resistors R1 and R2, or find the resistor values for a target voltage. Enter the two resistances to get the regulated output in volts.
Calculate the RL time constant (τ = L/R) of any resistor-inductor circuit. Enter resistance and inductance, choose current rise or decay, and get the time constant plus times to 95% and 99% of the final current.
Calculate the unknown resistance in a balanced Wheatstone bridge. Enter the three known arm resistances (R1, R2, R3) and get R4 instantly, with the balance condition explained.
Calculate the series resistor needed to safely drive an LED. Enter your supply voltage, the LED's forward voltage, and the desired current to get the resistor value in ohms.
Calculate the capacitive reactance (Xc) or inductive reactance (XL) of a component at any AC frequency. Select the component type, enter the frequency and the capacitance or inductance, and get the reactance in ohms.
Calculate the output current of an LM317 constant current regulator from a single resistor value. Just enter the resistance between the output and adjust pins to get the current in amps.
Calculate voltage, current, resistance, or power using Ohm's Law. Enter any two known values and the calculator instantly finds the missing quantity.
Quickly add up any number of series-connected resistors. Enter the resistor values (ohms, kΩ or MΩ) and get the total resistance, the count, and the smallest and largest value in the chain.
Calculate the output voltage of a resistive voltage divider, or solve for Vin, R1 or R2. Enter your values, add an optional load resistance, or find the closest standard E-series resistor pair for a target ratio.
Calculate the impedance of a series RLC circuit from resistance, inductance, capacitance and frequency. Enter R, L, C and f to get the complex impedance, magnitude and phase angle.
Calculate the minimum PCB trace width for a given current using the IPC-2221 formula. Enter current, temperature rise, copper thickness and layer type to get width in mil and mm.
Calculate the dimensions of an axial-mode helical antenna from its operating frequency and number of turns. Get the wavelength, helix diameter, turn spacing (pitch), and total antenna length in seconds.
Calculate the characteristic impedance of a parallel wire (two-wire) transmission line from the wire diameter and center-to-center spacing. Useful for designing twin-lead, ladder line, and balanced RF feeder systems.
Calculate the component values for a PI matching network that transforms a lower source resistance to a higher load resistance. Enter Rs, Rl and the operating frequency to get Q, the reactances, capacitance and inductance.
Estimate the characteristic impedance of a microstrip transmission line from the dielectric constant, substrate height, trace width and copper thickness. Enter your PCB stack-up values to get Z0 in ohms for RF and high-speed design.
Calculate the characteristic impedance of a symmetric stripline trace on a PCB. Enter the dielectric constant, trace width, copper thickness, and dielectric height to get Z0 in ohms.
Find the microstrip trace width needed to hit a target characteristic impedance (Zo). Enter the target impedance, dielectric constant and substrate height, and get the required width in mm.
Calculate the characteristic impedance of a microstrip transmission line from the dielectric constant, substrate height, trace width and trace thickness. Essential for impedance-controlled PCB routing in RF and high-speed digital design.
Calculate the component values for an L-network that matches a low source resistance to a higher load resistance at a given RF frequency. Enter the two resistances and the operating frequency to get Q, the series inductance, and the parallel capacitance.
Calculate RF power density in W/m² from transmitter power, antenna gain (dBi) and distance. Enter three values to estimate far-field radiation intensity for exposure and compliance checks.
Computes the capacitor and inductor values for a T impedance matching network from frequency, source and load impedance, and Q factor — for RF, antenna and amplifier matching.
Estimate the differential impedance of an edge-coupled microstrip pair on a PCB by entering the single-ended impedance, trace spacing, and substrate height — essential for USB, HDMI, LVDS, and PCIe routing.
Estimate the differential impedance of a stripline pair on a multilayer PCB. Enter the single-ended impedance, trace spacing, and height to the reference plane to get Z_diff in ohms.
Calculate the skin depth of an alternating current in a conductor from frequency, resistivity and relative permeability. Enter the material properties to see how deep AC current actually penetrates.
Calculate the characteristic impedance of a microstrip PCB trace from the substrate's dielectric constant, trace width, substrate height, and copper thickness. Essential for controlled-impedance routing in high-speed and RF designs.
Estimate the near-end crosstalk (NEXT) between two parallel microstrip traces on a PCB. Enter the trace spacing and substrate height to get the coupling level in dB.
Calculate the elastic section modulus and second moment of area for rectangle, circle, tube, or I/H beam sections. Enter the dimensions, choose a shape, and get properties about the strong bending axis.
Calculates the support reactions, maximum bending moment and midspan deflection of a simply supported beam carrying a uniformly distributed load. Enter the span, load, Young's modulus and second moment of area.
Calculate the bending stiffness of a cantilever beam from Young's modulus, area moment of inertia, and length. Enter values in MPa, cm⁴ and m to get stiffness in N/m.
Calculate the slope at the free end and the deflection at any section of a cantilever beam subjected to a couple moment. Enter the moment, elastic modulus, moment of inertia, length, and position of interest.
Calculate support reactions, maximum bending moment and midspan deflection for a simply supported beam carrying a point load at its center. Enter span, load, Young's modulus and moment of inertia.
Calculate the slope and deflection of a cantilever beam with a point load applied at any position along its length. Enter the load, beam properties, load position, and evaluation point to get instant results.
Calculate the maximum shear stress and the angle of twist in a solid or hollow circular shaft. Enter the torque, dimensions, length and shear modulus to check a shaft design in seconds.
Calculate the slope at the free end and the deflection at any point along a cantilever beam with a point load applied at its tip. Enter the load, elastic modulus, moment of inertia, beam length, and the position of interest.
Calculate the critical Euler buckling load of a slender column from its length, Young's modulus, second moment of area and end conditions. Enter the column properties and see the load at which it buckles.
Calculate the slope at the free end and the deflection at any point of a cantilever beam carrying a distributed load. Enter the load, elastic modulus, moment of inertia, beam length, and position to get instant results.
Calculates the slope at the free end and the deflection at any point along a cantilever beam carrying a uniform load. Enter the applied load, elastic modulus, moment of inertia, beam length and position.
Enter the side dimensions, length and quantity of a rectangular duct to get the total sheet-metal surface area, connector strip (shina) length and corner piece count, with an optional seam allowance.
Estimate the pressure drop in a rectangular or circular ventilation duct from its size, length, airflow and fittings. Enter duct dimensions, airflow rate and friction factor to get friction loss, fitting loss and total pressure drop in Pa, mm H2O and in. w.g.
Calculate how many air diffusers you need for a ventilation system. Enter the total air flow (m³/h), the air speed (m/s), and the diffuser diameter to get the required diffuser count.
Calculate the required ventilation air flow rate (m³/h) from room area, ceiling height, and desired air changes per hour. Enter three values to size fans, diffusers, and ductwork correctly.
Calculate the required ventilation airflow (m³/h) from the room type, floor area, and ceiling height. Enter the room type, area in m², and height in cm to get the recommended fan performance instantly.
Calculate the number of ventilation grids needed from the air flow rate (m³/h), air speed (m/s), and the open area of one grid (m²). Enter your values and get the required grid count instantly.
Estimate the required ventilation airflow from the number of people in a room and their activity level. Enter the occupant count, pick an activity level, and get the airflow in m³/h.
Calculate the rate of heat loss through a wall using the U-value, wall area and indoor/outdoor temperatures. Enter values in metric or imperial units and get results in watts, BTU/hr and kWh per day.
Calculate fan airflow, pressure, and power at a new speed using the fan affinity laws. Enter the original speed, airflow, pressure, and power, plus the new speed in rpm.
Calculate the log mean temperature difference (LMTD) of a heat exchanger from the four terminal temperatures. Choose counterflow or parallel flow and enter the hot and cold inlet/outlet temperatures in °C, °F or K.
Enter the number of turns, coil diameter and wire diameter to find the total wire length, cross-sectional area, copper volume and copper mass of a coil. Useful for winding inductors, electromagnets and solenoids.
Calculate the number of turns needed in a transformer winding from the voltage, frequency, core flux density, and core cross-sectional area. Enter values in V, Hz, tesla, and cm² to get the required turn count instantly.
Estimate the pulling force of a solenoid coil from the number of turns, current, core cross-sectional area, and air gap length. Enter your coil parameters to get the electromagnetic force in newtons.
Calculate secondary voltage, secondary current, and turns ratio for a single-phase transformer. Enter primary voltage, primary and secondary turns, and primary current to get instant results.
Estimate the inductance of a straight round wire from its length and diameter. Useful for RF circuits, antenna elements, lead wires, and bus bars where even short conductors add reactance.
Calculate the inductance of a flat spiral air core coil from its inner diameter, outer diameter, and number of turns. Enter the coil dimensions in millimeters and read the result in nanohenries.
This calculator determines the total inductance of inductors connected in series. Enter the individual inductance values separated by commas (in µH) and get the total inductance instantly.
Calculate the resonant frequency of an LC (tank) circuit from its inductance and capacitance using the Thomson formula. Enter L and C with their units to get frequency, period, and angular frequency.
Calculate the inductance of a flat grounding strap from its length, width and thickness in millimeters. The result in nH helps you design low-impedance ground connections for EMC and high-frequency circuits.
Calculate the equivalent inductance of inductors connected in parallel. Enter comma-separated inductance values in µH and get the total inductance instantly.
Calculate the required power of an instantaneous (tankless) water heater, the achievable hot water flow rate, or the outlet temperature. Enter the heater power, cold water inlet temperature, and target hot water temperature to get instant results.
Calculate pressure drop and head loss in a pipe using the Darcy–Weisbach equation with the Swamee–Jain friction factor. Enter pipe length, diameter, flow rate, fluid properties and roughness to get Δp in kPa and psi, velocity, Reynolds number and friction factor.
Calculate the minimum pipe wall thickness required to safely contain internal pressure using Barlow's formula. Enter the internal pressure, outside diameter, allowable hoop stress and design factor to get the result in mm and inches.
Estimates the flow rate in a gravity-driven pipeline from the hydraulic gradient, internal diameter, roughness coefficient and kinematic viscosity of the fluid. Enter the values in percent, metres and m²/s to get an instant result.
Calculate the hydraulic and shaft power needed to pump a fluid. Enter flow rate, head or pressure rise, fluid density and pump efficiency to get results in kW and hp.
Calculate the velocity, discharge, flow area and hydraulic radius of water flowing in an open channel or part-full pipe using the Manning equation. Choose the channel shape and enter its dimensions, slope and roughness.
Enter the fluid velocity, pipe diameter and viscosity to compute the Reynolds number and instantly see whether the pipe flow is laminar, transitional or turbulent. Works with kinematic or dynamic viscosity and metric/US units.
Calculate the resonant frequency of a mass-spring system from the spring constant (N/m) and attached mass (kg). Useful for vibration analysis and tuning mechanical systems.
Calculate the mass of a spring from its material density and volume. Enter the density (e.g., 7850 kg/m³ for steel) and the spring volume to get the mass in kilograms.
Calculate the spring rate (stiffness) of a helical compression spring from wire diameter, mean coil diameter, number of active coils and shear modulus. Optionally enter a load to get deflection and wire shear stress.
This calculator estimates the resonant frequency of a spring using geometric parameters, material density, and modulus of rigidity (G). It is ideal for evaluating coil spring dynamics in precision mechanical, automotive, and vibration systems.
Enter the radius of a railroad curve in feet and this calculator returns the degree of curvature — the central angle subtended by a 100 ft chord — a key parameter in railway track design and alignment.
Calculate the lateral cornering force on a vehicle from the friction coefficient, mass, curve radius and road slope, and find the maximum speed before the tires lose grip. Works for banked and flat curves.
Calculate the density of asphalt or bitumen from pycnometer weighings. Enter the weights of the empty pycnometer, with bitumen, with water, and with bitumen plus water to get the density in g/cm³.
Estimate the minimum length of a crest vertical curve from sight distance, roadway grades, driver's eye height, and object height. Enter values in meters and percent to get the required curve length in meters and feet.
Nothing found in this section.
Search all calculators