A given conductor carrying a current of I ampere It produces an amount of heat equal to 2000 J The c...........

General Science (NDA) Physics

A given conductor carrying a current of I ampere. It produces an amount of heat equal to 2000 J. The current through the conductor is doubled the amount of heat produced will be

2000 J

4000 J

8000 J

1000 J

Explanation:

Let resistance of the coil is R and measuring heatproduced for time t seconds.
H = I²RT = (1)²(R)(t) => 2000 J = Rt
Similarly, when current is doubled, the amount of heat produced is
H' = (I ')²RT = (2)²(Rt) = 4Rt
= 4 × 2000 J = 8000 J [ $\because$ Rt = 2000 J]