Question

The current passing through an electric kettle has been doubled. The heat produced will become
(a) half
(b) double
(c) four time
(d) one-fourth; The current passing through an electric kettle has been doubled. The heat produced will become
(a) half
(b) double
(c) four time
(d) one-fourth

Answer 1

Option (c) Four times

The heat produce will become four times.

Explanation:

Given: The current passing through an eletric kettle has been doubled.

That means, i = 2i.

The heat produced by the kettle is given by

$p' = {(i)}^{2} r \:$

$p = {(2i)}^{2} r$

$p = 4 {i}^{2} r$

$p = 4 p'$

The heat produce will become four times.

Answer 2

Heat Produced is Four Times.

Explanation:

• Given, The current passing through an electric kettle has been doubled.  

We know that,  $H = I^2 Rt$

As per the above formula,

So, $H = I^2$

Hence, $H = (2I)^2$

= 4I

Where, 'I' is the current in Amperes  

'R' is the Resistance in $\Omega$ and the 't' is the time taken in seconds.

As per the above formula,

• H is directly proportional to the square of Current passed.

So, $H = I^2$

Hence, $H = (2I)^2$

= 4I

So, Heat Produced is Four Times.