# parallel circuit

A parallel circuit is an electrical circuit in which the components are connected side by side. The current flowing in the circuit is shared by the components.

## Resistance in a parallel circuit

The total resistance *R _{T}* of two conductors of resistances

*R*

_{1}and

*R*

_{2}connected in parallel is given by:

1/*R _{T}* = 1/

*R*

_{1}+ 1/

*R*

_{2}

## Voltage in a parallel circuit

Components are connected across the same voltage source, and therefore the voltage across each of the components is the same.
This fact can be expressed mathematically as *V _{T}* =

*V*

_{1}=

*V*

_{2}, where

*V*

_{T}is the total voltage,

*V*

_{1}is the voltage across component 1, and

*V*

_{2}is the voltage across component 2. Appliances are connected in parallel circuits with the same voltage applied to each appliance.

## Current in a parallel circuit

The current divides to flow through each of the components in the parallel
paths. The amount of current that flows through each of the components depends
on the resistance of each component. A component with a lower resistance
will allow more current to flow through. If *I*_{1} is the
current flowing through component 1 and *I*_{2} is the current
flowing through component 2, then the total current, *I _{T}*,
is given by

*I*=

_{T}*I*

_{1}+

*I*

_{2}.

See also series circuit.