Power4all

Advanced KVL & KCL Calculator

Dynamic circuit analysis using Kirchhoff's Voltage Law (KVL) and Current Law (KCL). Add multiple components and solve complex electrical circuits with real-time updates.
KVL Calculator
KCL Calculator
Examples

Kirchhoff's Voltage Law Calculator

Kirchhoff's Voltage Law (KVL):
∑V = 0 (Sum of all voltages around any closed loop equals zero) Vsource - VR1 - VR2 - ... = 0
Simple Series Circuit
Voltage Divider
Complex Circuit
Clear All

Circuit Resistors

Add resistors and enter circuit values to analyze using KVL.

Note: The circuit diagram shows voltage drops across each component with calculated values.

Kirchhoff's Current Law Calculator

Kirchhoff's Current Law (KCL):
∑Iin = ∑Iout (Sum of currents entering a node equals sum leaving) I1 + I2 = I3 + I4 + ...
Parallel Branches
Node Analysis
T-Junction
Clear All

Currents Entering Node (+)

Currents Leaving Node (-)

Add currents to verify KCL at the node.

Note: Green arrows show currents entering the node, red arrows show currents leaving with calculated values.

Kirchhoff's Laws Examples

KVL & KCL Examples and Applications

KVL Example: Series Circuit with Multiple Resistors

Given: Vs = 12V, R₁ = 2kΩ, R₂ = 3kΩ, R₃ = 1kΩ, R₄ = 4kΩ

  • Total Resistance: Rtotal = 2 + 3 + 1 + 4 = 10kΩ
  • Circuit Current: I = 12V / 10kΩ = 1.2mA
  • Voltage drops: V₁ = 2.4V, V₂ = 3.6V, V₃ = 1.2V, V₄ = 4.8V
  • KVL Check: 12V - 2.4V - 3.6V - 1.2V - 4.8V = 0V ✓

KCL Example: Multi-Branch Node

Given: Node with 5 branches, various current values

  • Currents entering: I₁ = 5mA, I₂ = 3mA, I₃ = 2mA
  • Currents leaving: I₄ = 4mA, I₅ = 6mA
  • Total in: 5 + 3 + 2 = 10mA
  • Total out: 4 + 6 = 10mA
  • KCL Check: 10mA = 10mA ✓

Dynamic Circuit Analysis

Interactive Features:

  • Add/Remove Components: Dynamically modify circuit topology
  • Real-time Updates: Calculations update as you type
  • Visual Feedback: Circuit diagrams show calculated values
  • Multiple Units: Support for mV, V, kV and mA, A units
  • Error Checking: Validates KCL/KVL compliance
  • Responsive Design: Works perfectly on all devices and screen sizes

Practical Applications

  • Power Supply Design: Ensure current balance in voltage regulators
  • LED Driver Circuits: Calculate current distribution in parallel LED strings
  • Amplifier Analysis: Determine bias currents and voltages
  • Battery Management: Analyze charging/discharging currents
  • Motor Control: Calculate winding currents in motor drives
  • Digital Circuits: Analyze power distribution networks