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⚡ Parallel Resistor Calculator

Calculate equivalent resistance, current distribution, and power analysis for parallel resistor networks with detailed step-by-step solutions.

Calculation Type

Input Parameters

┌─── R1 ───┐
────┤ ├────
└─── R2 ───┘
Parallel Resistor Network
Parallel Resistance Formula
1/Req = 1/R1 + 1/R2
Equivalent resistance is always less than the smallest resistor

Results & Analysis

Enter resistor values and click Calculate to see parallel circuit analysis

Parallel Resistor Theory

Equivalent Resistance

In parallel circuits, the equivalent resistance is always less than the smallest individual resistor.

  • 1/Req = 1/R1 + 1/R2 + 1/R3 + ...
  • For two resistors: Req = (R1×R2)/(R1+R2)
  • Adding more resistors decreases Req
  • Provides multiple current paths

Current Distribution

Current divides inversely proportional to resistance values.

  • Voltage across all resistors is equal
  • Current: I = V/R for each branch
  • Smaller resistors carry more current
  • Total current = sum of branch currents

Applications

  • Current Dividers: Split current between paths
  • Redundancy: Backup paths if one fails
  • Power Distribution: Multiple loads
  • Precision Resistors: Custom resistance values