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Electrostatic Potential and Capacitance

Energy stored in capacitor

A 2 {F} capacitor is charged as shown in the figure. The perc

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A $2 μ F$ capacitor is charged as shown in the figure. The percentage of its stored energy dissipated after the switch $S$ is shifted to position 2 is :

0%

20%

75%

80%

Views: 6,387 students

Updated on: Aug 26, 2023

Book:

Physics Galaxy Electrostatics and Current Electricity Vol 3 A (Ashish Arora)

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Asher Discussed

2 μ F

capacitor is charged as shown in the figure. The percentage of its stored energy dissipated after the switch

S

is shifted to position 2 is :

5 mins ago

Discuss this question LIVE

5 mins ago

Text solutionVerified

When

S

is at position

1, 2 μ F

capacitor is charged. The potential difference across its plates will be

V

. The potential energy stored in

2 μ F

capacitor in this state is given as

U_{i} = \frac{1}{2} C V^{2} = \frac{1}{2} \times 2 \times V^{2} = V^{2}

When

S

is shifted to position 2 , the

8 μ F

capacitor is connected in parallel with

2 μ F

capacitor. Final common potential difference of the two capacitors is

V^{'} = \frac{2 V}{10} = 0.2 V

Final energy stored in capacitors is given as

U_{f} = \frac{1}{2} \times 10 \times (0.2 V)^{2} = 0.2 V^{2}

Energy dissipated is given as

Δ U = U_{f} - U_{i} = V^{2} - 0.2 V^{2} = 0.8 V^{2}

The percentage of the energy dissipated is given as

\frac{Δ U}{U _{i}} \times 100 = \frac{\frac{4}{5} V ^{2}}{V ^{2}} \times 100 = 80%

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Question Text	A $2 μ F$ capacitor is charged as shown in the figure. The percentage of its stored energy dissipated after the switch $S$ is shifted to position 2 is :
Updated On	Aug 26, 2023
Topic	Electrostatic Potential and Capacitance
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 8
Upvotes	1004
Avg. Video Duration	9 min

A $2 μ F$ capacitor is charged as shown in the figure. The percentage of its stored energy dissipated after the switch $S$ is shifted to position 2 is :

Text solutionVerified

Filo tutor solutions (8)

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A $2 μ F$ capacitor is charged as shown in the figure. The percentage of its stored energy dissipated after the switch $S$ is shifted to position 2 is :