Ohm's Law Calculator

Physics Class 12 - V = IR

Voltage (V) =

12.00

V = 12V | I = 2A | R = 6Ω

Ohm's Law Triangle

V = I × R

I = V / R

R = V / I

V (Voltage)

Volts (V)

Electrical pressure

I (Current)

Amperes (A)

Flow of electrons

R (Resistance)

Ohms (Ω)

Opposition to flow

Applications

  • Circuit Design: Calculate resistor values for LED circuits
  • Power: P = VI = I²R = V²/R
  • Safety: Determine wire gauge for current capacity
  • Electronics: Design voltage dividers, current limiting

Power Formulas

P = V × I

P = I² × R

P = V² / R

Where P is power measured in Watts (W)

Series and Parallel Circuits

Series Circuit:

R_total = R₁ + R₂ + R₃ + ...

Same current flows through all components

Parallel Circuit:

1/R_total = 1/R₁ + 1/R₂ + 1/R₃ + ...

Same voltage across all components

Kirchhoff's Laws

Kirchhoff's Current Law (KCL):

Sum of currents entering = Sum of currents leaving

Kirchhoff's Voltage Law (KVL):

Sum of voltage drops = Sum of voltage sources in a loop

Solved Examples

Example 1: Find current through a 12V battery connected to a 6Ω resistor.

I = V/R = 12/6 = 2A

Answer: I = 2 Amperes

Example 2: Find power dissipated by the resistor.

P = V × I = 12 × 2 = 24W

Answer: P = 24 Watts

Example 3: Three 10Ω resistors in series. Find total resistance.

R_total = 10 + 10 + 10 = 30Ω

Answer: R = 30 Ohms

Common Units

Voltage

Volt (V) = Joule/Coulomb

Current

Ampere (A) = Coulomb/second

Resistance

Ohm (Ω) = Volt/Ampere

Power

Watt (W) = Joule/second