Electrical Series Circuits

Calculate total resistance, current, and power in a series circuit with multiple resistors connected to a voltage source.

Series Circuit Rules

  1. The total current in the circuit is equal to the current in any other part of the circuit.
  2. The total voltage in a series circuit is equal to the sum of the voltages across all parts in the circuit.
  3. The total resistance in a series circuit is equal to the resistances of all parts in the circuit.

Key Equations

  • Total Voltage: U = U1 + U2 + ... + Un
  • Ohm's Law: Un = In × Rn
  • Equal Currents: I1 = I2 = ... = In
  • Total Resistance: R = R1 + R2 + ... + Rn
  • Power: P = R × I²
Calculator

Inputs

Results

Total Resistance (R)-- Ω
Circuit Current (I)-- A
Power Dissipated (P)-- W
Voltage across R1 (U1)-- V
Voltage across R2 (U2)-- V
Voltage across R3 (U3)-- V
ComponentResistance (Ω)Current (A)Voltage (V)Power (W)
R1=inputs.r1=inputs.voltage / (inputs.r1 + inputs.r2 + inputs.r3)=inputs.r1 * (inputs.voltage / (inputs.r1 + inputs.r2 + inputs.r3))=inputs.r1 * (inputs.voltage / (inputs.r1 + inputs.r2 + inputs.r3)) * (inputs.voltage / (inputs.r1 + inputs.r2 + inputs.r3))
R2=inputs.r2=inputs.voltage / (inputs.r1 + inputs.r2 + inputs.r3)=inputs.r2 * (inputs.voltage / (inputs.r1 + inputs.r2 + inputs.r3))=inputs.r2 * (inputs.voltage / (inputs.r1 + inputs.r2 + inputs.r3)) * (inputs.voltage / (inputs.r1 + inputs.r2 + inputs.r3))
R3=inputs.r3=inputs.voltage / (inputs.r1 + inputs.r2 + inputs.r3)=inputs.r3 * (inputs.voltage / (inputs.r1 + inputs.r2 + inputs.r3))=inputs.r3 * (inputs.voltage / (inputs.r1 + inputs.r2 + inputs.r3)) * (inputs.voltage / (inputs.r1 + inputs.r2 + inputs.r3))
Total=inputs.r1 + inputs.r2 + inputs.r3=inputs.voltage / (inputs.r1 + inputs.r2 + inputs.r3)=inputs.voltage=(inputs.r1 + inputs.r2 + inputs.r3) * (inputs.voltage / (inputs.r1 + inputs.r2 + inputs.r3)) * (inputs.voltage / (inputs.r1 + inputs.r2 + inputs.r3))