Current Divider Calculator – Find Amps in Parallel Resistors

I₁ = (R₂ * I) / (R₁ + R₂)

I₂ = (R₁ * I) / (R₁ + R₂)

R₁ = (I₂ * R₂) / (I - I₂)

R₂ = (I₁ * R₁) / (I - I₁)

I = (I₁ * (R₁ + R₂)) / R₂

I = (I₂ * (R₁ + R₂)) / R₁

I = Current (A)

R = Resistance (Ω)

Calculate output current in parallel circuits using the current divider rule.

"A circuit that produces an output current proportional to the input, based on resistor ratios."

Key Principle: Current Divider Rule

I₁ = I * R₂ / (R₁ + R₂) and I₂ = I * R₁ / (R₁ + R₂)

Where:

I: Total input current (A)

I₁: Current through R₁

I₂: Current through R₂

R₁, R₂: Resistance values (Ω)

Note: Current divides inversely with resistance — higher resistance draws less current.

Parameter Definitions

1. Input Current (I)

The total current entering the parallel network, measured in amperes (A).

Example: 10 A from a power supply

2. Output Current (I₁/I₂)

The current flowing through one of the parallel resistors.

I₁: Current through R₁
I₂: Current through R₂

3. Resistor Ratio (R₁/R₂)

The ratio of the two parallel resistances. This determines how the current is divided.

Examples:

If R₁ = R₂ → I₁ = I₂ = I/2
If R₁ > R₂ → I₁ < I₂

How It Works？

When resistors are connected in parallel:

1. They share the same voltage

2. Total current splits between branches

3. Current is inversely proportional to resistance

4. Equivalent resistance: \( \frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} \)

Application Scenarios

1. Designing sensor biasing circuits

2. Creating adjustable current sources

3. Analyzing multi-path power distribution

4. Teaching basic circuit theory

5. Debugging parallel load behavior