Question

If the current flowing through a fixed resistor is halved, the heat produced in it will become:; A. double; B. one-half; C. one-fourth; D. four times

Answer 1

ANSWER:
the heat produced will becomes one fourth

Answer 2

Answer:

C. one-fourth

Explanation:

As per the question,

We know that  

The heat produced in a current-carrying resistor is given by

H = I²Rt

From this relation of heat with current, we can conclude that heat produced in the resistor is directly proportional to the square of the current flowing in the resistor.

Now,

As we have been provided that current flowing through the resistor is become halved.

∴ $H = (\frac{I}{2})^{2}Rt$

  $\Rightarrow H = \frac{1}{4}I^{2}Rt$

That is heat produced is one- fourth times of original heat.

Hence, (C) is the correct option.