Question

When the current in a conductor is doubled, the power dissipiated increases by_____times.

• A. 4

Answer 1

The correct option is A 4

Power, $P=I^{2}R$
Now the current is doubled.
So current flowing through the conductor becomes $2I$.
Now, power becomes $P_1={\left(2I\right)}^{2}R$
$P_1=4{\left(I\right)}^{2}R$
$P_1=4P$
If current is doubled, the power dissipiated in the conductor increases by 4 times.