Question

When a capacitor of value 200 uF charged to 200V
is discharged separately through resistance of 2
ohms and 8 ohms, then heat produced in joule will
respectively be:
(1) 4 and 16
(2) 16 and 4
(3) 4 and 8
(4) 4 and 4​

Answer 1

answer : option (4) 4 and 4

explanation : capacitance of capacitor , C = 200 uF

potential across the capacitor , V = 200 volts.

heat produced due to discharged of capacitor of capacitor C which is placed across the voltage V is given by, H = 1/2 CV²

= 1/2 × 200uF × (200volts)²

= 100 × 10^-6 × 40000 J

= 4 J

here it is also clear that heat produced doesn't depends upon value of resistance.

so, hear produced due to 2 ohms is same as 8 ohms.

hence, option (4) is a correct choice.