Electrostatic Potential And Capacitance Ques 44

44. 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

[1989]

(a) $0.16 $ $J$

(b) $1.28 $ $J$

(c) $0.64 $ $J$

(d) $0.32 $ $J$

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Answer:

Correct Answer: 44.(d)

Solution:

  1. (d) The energy stored in the capacitor

$=\frac{1}{2} C V^{2}=\frac{1}{2} \times 4 \times 10^{-6} \times(400)^{2}=0.32 $ $J$

This energy will be converted into heat in the resistor.