Current Electricity Charging Discharging Of Capacitors Question 509

Question: A $ 4\mu F $ conductor is charged to 400 volts and then its plates are joined through a resistance of $ 1,k\Omega $ . The heat produced in the resistance is

[CBSE PMT 1994]

Options:

A) 0.16 J

B) 1.28 J

C) 0.64 J

D) 0.32 J

Show Answer

Answer:

Correct Answer: D

Solution:

Heat produced = Energy stored in capacitor $ =\frac{1}{2}CV^{2} $

$ =\frac{1}{2}\times 4\times {{10}^{-6}}\times {{(400)}^{2}} $

$ =0.32J $