What is a Parallel Circuit?

The elements of a parallel circuit are connected so that each component has the same voltage across its terminals; the current flow is divided among its parts as shown in Figure 10.1.

When circuit elements are connected in parallel, the total resistance is less than that of the element having the least resistance, and the total current is equal to the sum of the currents in the individual branches.


Figure 10.1 A parallel circuit

There are several methods used to determine the total equivalent resistance of parallel circuits.

  • An easy method of finding equivalent resistance is to use the general formula for resistors in parallel.

  • This is accomplished by adding up the reciprocals of the resistance values, and then taking the reciprocal of the total resistance of a set of resistors in parallel:

(10.1)


The total power is equal to the sum of the power dissipated by the individual resistors, just like the series circuit.

 

               

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