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R1 R2 Calculator

This calculator computes the individual resistances R1 and R2 based on the measured values of external earth impedance $$Z_e$$ and total system impedance $$Z_s$$. It’s commonly used in electrical safety testing and circuit protection design.

Resistance Split Calculator from Ze and Zs

Input Fields
Zₑ
Ω
Total earth fault loop impedance
Zₛ
Ω
Impedance of the supply transformer/source
If enabled, the result will update automatically when you change any value.

R1 and R2 Calculation Formulas

Formula
$$R_1 + R_2 = Z_s – Z_e$$ $$\text{Assuming } R_1 = R_2: \quad R_1 = R_2 = \frac{Z_s – Z_e}{2}$$

Where:

  • $$Z_s$$ = total system impedance (Ω)
  • $$Z_e$$ = external impedance (Ω)
  • $$R_1$$ = line resistance (Ω)
  • $$R_2$$ = CPC resistance (Ω)

These formulas assume a symmetrical line where $$R_1$$ and $$R_2$$ contribute equally to the difference between $$Z_s$$ and $$Z_e$$.


R1 R2 – Calculation Example

Given:

  • $$Z_s$$ = 0.76 Ω
  • $$Z_e$$ = 0.34 Ω

Calculation:

  1. $$R_1 + R_2 = 0.76 – 0.34 = 0.42~\Omega$$
  2. $$R_1 = R_2 = \frac{0.42}{2} = 0.21~\Omega$$


The $$R_1$$ and $$R_2$$ test is part of the electrical installation safety procedure to ensure proper earth continuity and minimal resistance. This calculator is useful for quickly verifying the integrity of wiring and connections in TN systems. It supports the design and validation of circuit protection setups to comply with safety regulations and standards such as BS 7671 (UK Wiring Regulations).

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