Electrical Resistance in Serial and Parallel Networks

Calculate total resistance and current for resistors connected in series and parallel configurations, including individual currents through each resistor.

Calculator

Inputs

R1 (ohms)

R2 (ohms)

R3 (ohms)

R4 (ohms)

R5 (ohms)

Voltage (V)

Results

R (Total Resistance)-- ohms

I (Total Current)-- amps

I1 (Current through R1)-- amps

I2 (Current through R2)-- amps

I3 (Current through R3)-- amps

I4 (Current through R4)-- amps

I5 (Current through R5)-- amps

Series Connection Formula

R = R1 + R2 + ... + Rn

where R = total resistance (ohm, Ω)

Parallel Connection Formula

1 / R = 1 / R1 + 1 / R2 + ... + 1 / Rn

For two resistors in parallel: R = R1 × R2 / (R1 + R2)

Current Calculation (Ohm's Law)

I = U / R

where I = current (amps), U = voltage (V), R = resistance (ohm, Ω)