Question

A 5${}^0$C rise is temperature is observed in a conductor by passing a current, when the current is doubled, the rise in temperature will be nearly

• A. 10${}^0$ C
• B. 16${}^0$ C
• C. 20${}^0$ C
• D. 12${}^0$ C

Answer 1

The correct option is C 20${}^0$ C

$P=I^{2}R$
doubling I implies 4 times the power
$\Rightarrow \Delta T\alpha P$
$\therefore$ 4 times power implies 4 times $\Delta T$
$4\times 5^{0}C$
$={20}^{0}C$