Kirchhoff's Voltage Law Simulator

📋 Sign Convention for KVL

Voltage Rise (+): When traversing through a voltage source from negative to positive terminal
Voltage Drop (-): When traversing through a resistor in the direction of current flow
Direction matters: Following the loop in one consistent direction (clockwise or counterclockwise)

📚 About Kirchhoff's Voltage Law

Kirchhoff's Voltage Law (KVL) states that the directed sum of the electrical potential differences (voltages) around any closed network is zero. This is a consequence of the conservation of energy.

Mathematical Expression:

ΣV = 0 (sum of all voltages in a loop equals zero)
Or: V_sources = V_drops (voltage rises equal voltage drops)

Physical Basis:

Based on the law of conservation of energy
Energy supplied by sources equals energy consumed by loads
No energy is created or destroyed in the circuit

Sign Convention:

Voltage rise (through source): assign positive sign
Voltage drop (through resistor): assign negative sign
Must traverse the loop in one consistent direction

💡 Practical Example

Simple Circuit:

A 12V battery connected to three resistors in series:

• Battery voltage: +12V (voltage rise)

• Resistor 1: -3V (voltage drop)

• Resistor 2: -5V (voltage drop)

• Resistor 3: -4V (voltage drop)

KVL Check: (+12V) + (-3V) + (-5V) + (-4V) = 0V ✓

The voltage supplied by the battery equals the total voltage dropped across all resistors!

🔧 Applications of KVL

Circuit Analysis: Finding unknown voltages in complex circuits
Mesh Analysis: Systematic method for solving circuit equations
Design Verification: Ensuring proper voltage distribution in circuits
Troubleshooting: Identifying faulty components by checking voltage drops
Power Systems: Analyzing voltage distribution in electrical grids

⚡ Kirchhoff's Voltage Law (KVL)

📋 Sign Convention for KVL

📚 About Kirchhoff's Voltage Law

💡 Practical Example

🔧 Applications of KVL