Question

If current and resistance through the wire is increased by 100% then heat generated through the conductor will increased by​

Answer 1

Let the current be x

Increement = 100%

New current = x+x = 2x

$\rule{200}{2}$

Let the resistance be y

Increement =100%

New Resistance = y+y = 2y

$\rule{200}{2}$

We know that:-

From Joule's Law of Heating :-

HEAT = CURRECT^2 * RESISTANCE * TIME

H = I^2 RT

$\rule{200}{2}$

Initial Heat evolved will be :-

$\bold{I^{2}RT}$

$\rule{200}{2}$

After Increement :-

Heat Evolved will be:-

$\bold{H =(2I)^2(2R)T}\\ \\ \\ \\ \bold{8I^2RT}$

$\rule{200}{2}$

Hence,

The Heat generated through the conductor will become 8 times of the initial heat generation.