Question

A circuit maintains a constant resistance. If the current in the circuit is doubled, what is the effect on the power dissipated by the circuit?The power dissipated is doubled.The power dissipated is quadrupled.The power dissipated is reduced by a factor of 2.The power dissipated remains constant.The power dissipated is reduced by a factor of 4.

Answer 1

The power dissipated is quadrupled

Step-by-step explanation:

The power dissipated by a circuit is given by

`P=I^2 R`

where

I is the current

R is the resistance

In this problem, the resistance is kept constant, while the current is doubled:

I' = 2I

So, the new power dissipated is

`P'=I'^2 R = (2I)^2 R= 4I^2 R=4P`

So, the power dissipated is quadrupled.