⚡ KCL & KVL Calculator

Circuit Analysis

🔄 Kirchhoff's Current Law (KCL)

The sum of currents entering a node equals the sum of currents leaving the node.

ΣIin = ΣIout

🔁 Kirchhoff's Voltage Law (KVL)

The sum of all voltages around a closed loop equals zero.

ΣV = 0

➕ Series Resistance

Total resistance equals the sum of individual resistances.

Rtotal = R₁ + R₂ + R₃ + ...

⚡ Parallel Resistance

Reciprocal of total resistance equals sum of reciprocals.

1/Rtotal = 1/R₁ + 1/R₂ + 1/R₃ + ...

Series Circuit

Components in a line

Parallel Circuit

Components side by side

Combination Circuit

Series + Parallel mix

🎯 Solve the Circuit

Given Values:

Find the missing value:

A
Correct
0
Incorrect
0
Total
0

📚 Quick Guide:

Series: Same current flows through all components. Voltages add up to source voltage.

Parallel: Same voltage across all components. Currents add up to total current.

Combination: Mix of series and parallel rules. Solve step by step.

Parallel Resistance Shortcut (2 resistors only):

Starting from: 1/Rtotal = 1/R₁ + 1/R₂

Find common denominator: 1/Rtotal = (R₂ + R₁)/(R₁ × R₂)

Flip both sides: Rtotal = (R₁ × R₂)/(R₁ + R₂)

This formula ONLY works for exactly 2 resistors in parallel!