According to Joule's law of heating, the rate of heat produced in a resistor is

(A) directly proportional to the current for the given resistance
(B) directly proportional to the square of the current for the given resistance
(C) directly proportional to the resistance for a given value of current
(D) inversely proportional to the resistance for a given voltage

Choose the correct answer from the options given below:

(B), (C) and (D) only

The correct answer is Option (4) → (B), (C) and (D) only

According to Joule’s law of heating:

$H = I^{2} R t$

Power (rate of heat produced): $P = I^{2} R = \frac{V^{2}}{R} = VI$

Therefore:

• For a given resistance → $P \propto I^{2}$ 

• For a given current → $P \propto R$ 

• For a given voltage → $P \propto \frac{1}{R}$ 

Correct Options: (B), (C), (D)