# Current Divider - Online Calculator

A current divider is a linear circuit that produces an output current that is a fraction of the input current.

Current is split between the branches of the divider. The total resistance in the electrical circuit can calculated

* R _{ T } = R _{ 1 } R _{ 2 } / (R _{ 1 } + R _{ 2 } ) (1) *

* where *

* R _{ T } = total resistance (ohms, Ω) *

* R _{ n } = resistance in branch n (ohms, Ω ) *

The voltage difference across the circuit

* U = I R _{ T } *

* = I R _{ 1 } R _{ 2 } / (R _{ 1 } + R _{ 2 } ) (2) *

* where *

* U = electrical potential (volts, V) *

* I = total current through the circuit (amps, A) *

Split current * I _{ 1 } * can be calculated

* I _{ 1 } = U / R _{ 1 } *

* = (I R _{ 1 } R _{ 2 } / (R _{ 1 } + R _{ 2 } ) ) / R _{ 1 } *

* = I R _{ 2 } / (R _{ 1 } + R _{ 2 } ) (3) *

Split current * I _{ 2 } * can be calculated

* I _{ 2 } = U / R _{ 2 } *

* = (I R _{ 1 } R _{ 2 } / (R _{ 1 } + R _{ 2 } ) ) / R _{ 2 } *

* = I R _{ 1 } / (R _{ 1 } + R _{ 2 } ) (4) *

### Example - Current Divider

The total resistance in a current divider with supply voltage * 3.3 V * and resistor * R _{ 1 } = 220 ohm * and resistor

*R*can be calculated as

_{ 2 }= 47 ohm* R _{ T } = ( 220 ohm ) ( 47 ohm ) / (( 220 ohm ) + ( 47 ohm )) *

* = 38.7 ohm *

The total current through the current divider can be calculated

* I = (3.3 V) / (38.7 ohm) *

* = 0.085 amps *

* = 85 mA *

The current through resistor * R _{ 1 } * can be calculated

* I _{ 1 } = (3.3 V) / (220 ohm) *

* = 0.015 amps *

* = 15 mA *

The current through resistor * R _{ 2 } * can be calculated

* I _{ 2 } = (3.3 V) / (47 ohm) *

* = 0.070 amps *

* = 70 mA *

### Current Divider - Online Calculator

* R - total resistance (ohms) *

* I _{ 1 } - split current (amps) *

* I _{ 2 } - split current (amps) *

* I - total current (amps) *

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