Current Divider Calculator

Current Divider is evaluated from Total Current, Branch Resistance R1 and Branch Resistance R2. The calculation reports Equivalent Parallel Resistance, Voltage Across Parallel Branches and Current Through R1.

Results

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About the Current Divider Calculator

Current Divider is treated here as a quantitative relation between Total Current, Branch Resistance R1, Branch Resistance R2 and Branch Resistance R3 and Equivalent Parallel Resistance, Voltage Across Parallel Branches, Current Through R1 and Current Through R2.

The calculator uses a multi formula configuration. Each reported value is read as a direct evaluation of the stored rules with the declared field formats and units.

Formula basis:
V = I_total x R_parallel
I1 = V / R1
I2 = V / R2
I3 = V / R3 (if present)
Two-resistor shortcut:
I1 = I_total x R2 / (R1 + R2)
I2 = I_total x R1 / (R1 + R2)

Interpret the outputs in the order shown by the result fields. Optional inputs affect only the outputs that depend on those variables.

Formula & How It Works

The calculation applies the following relations exactly as recorded in the metadata:

V = I_total x R_parallel
I1 = V / R1
I2 = V / R2
I3 = V / R3 (if present)
Two-resistor shortcut:
I1 = I_total x R2 / (R1 + R2)
I2 = I_total x R1 / (R1 + R2)

Each output field is produced by substituting the supplied inputs into the relevant relation and then applying the declared rounding or text format.

Worked Examples

Example 1: Ammeter Shunt Design

Inputs

i_total: 10 r1: 0.01 r2: 1990
Equivalent Parallel Resistance: 0.01 Ω. Voltage Across Parallel Branches: 0.1 V. Current Through R1: 9.9999 A. Current Through R2: 0.0001 A

With Total Current = 10, Branch Resistance R1 = 0.01 and Branch Resistance R2 = 1,990 as the stated inputs, the result is Equivalent Parallel Resistance = 0.01 Ω, Voltage Across Parallel Branches = 0.1 V and Current Through R1 = 9.9999 A. Each value corresponds to the declared output fields.

Example 2: Two Parallel Loads

Inputs

i_total: 3 r1: 100 r2: 300
Equivalent Parallel Resistance: 75 Ω. Voltage Across Parallel Branches: 225 V. Current Through R1: 2.25 A. Current Through R2: 0.75 A

With Total Current = 3, Branch Resistance R1 = 100 and Branch Resistance R2 = 300 as the stated inputs, the result is Equivalent Parallel Resistance = 75 Ω, Voltage Across Parallel Branches = 225 V and Current Through R1 = 2.25 A. Each value corresponds to the declared output fields.

Example 3: Three Parallel Branches

Inputs

i_total: 12 r1: 60 r2: 30 r3: 20
Equivalent Parallel Resistance: 10 Ω. Voltage Across Parallel Branches: 120 V. Current Through R1: 2 A. Current Through R2: 4 A. Current Through R3: 6 A

With Total Current = 12, Branch Resistance R1 = 60, Branch Resistance R2 = 30 and Branch Resistance R3 = 20 as the stated inputs, the result is Equivalent Parallel Resistance = 10 Ω, Voltage Across Parallel Branches = 120 V and Current Through R1 = 2 A. Each value corresponds to the declared output fields.

Example 4: EV Motor & Accessory Load Share

Inputs

i_total: 100 r1: 1.2 r2: 12
Equivalent Parallel Resistance: 1.0909 Ω. Voltage Across Parallel Branches: 109.0909 V. Current Through R1: 90.9091 A. Current Through R2: 9.0909 A

With Total Current = 100, Branch Resistance R1 = 1.2 and Branch Resistance R2 = 12 as the stated inputs, the result is Equivalent Parallel Resistance = 1.0909 Ω, Voltage Across Parallel Branches = 109.0909 V and Current Through R1 = 90.9091 A. Each value corresponds to the declared output fields.

Common Use Cases

  • Find current through each branch in a parallel circuit
  • Design a shunt resistor for current measurement
  • Calculate branch currents in power distribution systems