Parallel Circuit Calculator

Find the equivalent resistance of two resistors in parallel and the branch currents.

V
Ω
Ω

Equivalent Resistance

66.67 Ω

Total Current0.1800 A
Current through R10.1200 A
Current through R20.0600 A

Equivalent Resistance vs Supply Voltage

Parallel Resistor Calculation

Parallel resistors share the same voltage. The equivalent is always less than the smallest.

Formula

1/R_eq = 1/R1 + 1/R2

Or: R_eq = (R1 x R2) / (R1 + R2)

Branch currents: I_n = V / R_n.

Example Calculation

12 V supply with R1 = 100 and R2 = 200 ohms in parallel.

  1. 01R_eq = 1 / (1/100 + 1/200) = 66.67 ohms
  2. 02Total current = 12 / 66.67 = 0.18 A
  3. 03I_R1 = 12 / 100 = 0.12 A
  4. 04I_R2 = 12 / 200 = 0.06 A

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Ohm's Law Guide

A complete guide to Ohm's Law. Learn the relationship between voltage, current, and resistance, with practical examples, the power triangle, and circuit analysis tips.

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