Question

Question 12
If the current I through a resistor is increased by $100\%$ (assume that temperature remains unchanged), the increase in power dissipated will be

(a) $100\%$
(b) $200\%$
(c) $300\%$
(d) $400\%$

Answer 1

(d) $400\%$

Power (P) $=I^{2}R$
Current is increased by $100\%$
New current = 2I
$P=(2I{)}^{2}R=4I^{2}R$
$\therefore$ The increase in power dissipation will be $400\%$.