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Electrostatic Potential and Capacitance

Energy stored in capacitor

Three initially uncharged capacitors are connected in series w

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Hard

Solving time: 4 mins

Three initially uncharged capacitors are connected in series with a battery of emf $30 V$ in the circuit shown in figure- $2.75$

Calculate the following parameters for this circuit
(a) Charge flow through the battery
(b) Potential energy in $3 μ F$ capacitor
(c) Total energy in all capacitors
(d) Heat produced in the circuit after switch is closed(d) Heat produced in the circuit after switch is closed

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Book:

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

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Sophia Discussed

Three initially uncharged capacitors are connected in series with a battery of emf

30 V

in the circuit shown in figure-

2.75

Calculate the following parameters for this circuit
(a) Charge flow through the battery
(b) Potential energy in

3 μ F

capacitor
(c) Total energy in all capacitors
(d) Heat produced in the circuit after switch is closed(d) Heat produced in the circuit after switch is closed

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

Equivalent capacitance is given as

\frac{1}{C _{e q}} C_{e q} = \frac{1}{2} + \frac{1}{3} + \frac{1}{6} = \frac{3 + 2 + 1}{6} = 1 = 1 μ F

(a) Charge flown through battery is

Q = C_{eq} V = 30 μ C

(b) Charge on

3 μ F

capacitor is alos

30 μ C

as all capacitors are in series. Energy stored in

3 μ F

capacitor is given as

U = \frac{Q ^{2}}{2 C} = \frac{30 \times 30}{2 \times 3} = 150 μ J

U_{total} = \frac{1}{2} C_{e q} V^{2} \Rightarrow U_{total} = \frac{30 \times 30}{2} μ J = 450 μ J

(d) Heat Produced on switching is given as

\Rightarrow \Rightarrow H = q V - \frac{1}{2} C_{e q} V^{2} H = 30 \times 30 - 450 μ J H = 450 μ J

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Question Text	Three initially uncharged capacitors are connected in series with a battery of emf $30 V$ in the circuit shown in figure- $2.75$ Calculate the following parameters for this circuit (a) Charge flow through the battery (b) Potential energy in $3 μ F$ capacitor (c) Total energy in all capacitors (d) Heat produced in the circuit after switch is closed(d) Heat produced in the circuit after switch is closed
Topic	Electrostatic Potential and Capacitance
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	74

Text solutionVerified

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