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Electrostatic Potential and Capacitance

Energy stored in capacitor

The figure shows a graph of the current in a discharging circu

Question

Medium

Solving time: 3 mins

The figure shows a graph of the current in a discharging circuit of a capacitor through a resistor of resistance $10Ω$ .

The initial potential difference across the capacitor is

100 V

The capacitance of the capacitor is

\frac{1}{10 l n 2} F

The total heat produced in the circuit will be

\frac{500}{l n 2} J

All of the above

Views: 5,865 students

Updated on: Sep 7, 2022

Book:

Electricity and Magnetism (DC Pandey)

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Liam Discussed

The figure shows a graph of the current in a discharging circuit of a capacitor through a resistor of resistance

10Ω

7 mins ago

Discuss this question LIVE

7 mins ago

Text solutionVerified

V_{0} = i_{0} R = (10) (10) = 100 V

After

2 s

, current becomes

\frac{1}{4}

th. Therefore, after

1 s

, current will remain half also called half-life.

t_{1/2} = (ln 2) τ_{C} = (ln 2) CR

∴ C = \frac{( t _{1/2} )}{( l n 2 ) R} = \frac{1}{10 l n 2} F

Total heat = \frac{1}{2} C V_{0}^{2}

= \frac{1}{2} \times \frac{1}{10 l n 2} (100)^{2}

= \frac{500}{l n 2} J

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Question Text	The figure shows a graph of the current in a discharging circuit of a capacitor through a resistor of resistance $10Ω$ .
Updated On	Sep 7, 2022
Topic	Electrostatic Potential and Capacitance
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 3
Upvotes	373
Avg. Video Duration	8 min

The figure shows a graph of the current in a discharging circuit of a capacitor through a resistor of resistance $10Ω$ .

Text solutionVerified

Filo tutor solutions (3)

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The figure shows a graph of the current in a discharging circuit of a capacitor through a resistor of resistance $10Ω$ .