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Electrostatic Potential and Capacitance

Energy stored in capacitor

In the circuit show n in figure switch S is thrown to position

Question

Medium

Solving time: 3 mins

In the circuit show n in figure switch $S$ is thrown to position 1 at $t = 0$ . When the current in the resistor is $1 A$ , it is shifted to position 2 . The total heat generated in the circuit after shifting to position 2 is

zero

625 μ J

100 μ J

None of these

Views: 5,806 students

Book:

Electricity and Magnetism (DC Pandey)

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Olivia Discussed

In the circuit show n in figure switch

S

is thrown to position 1 at

t = 0

. When the current in the resistor is

1 A

, it is shifted to position 2 . The total heat generated in the circuit after shifting to position 2 is

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

In position- 1 , initial maximum current is

i_{0} = \frac{V}{R} = \frac{10}{5} = 2 A

At the given time, given current is

1 A

or half of the above value. Hence, at this is instant capacitor is also charged to half of the final value of

5 V

.
Now, it is shifted to position-2 wherein steady state it is again charged to

5 V

but with opposite polarity.

U_{i} = U_{f} = \frac{1}{2} C V^{2} (∵ V = 5 V)

∴

Total energy supplied by the lower battery is converted into heat. But double charge transfer (from the normal) takes place from this battery.

∴

Heat produced = Energy supplied by the battery

= (Δ q) V = (2 C V) (V) = 2 C V^{2}

= 2 \times 2 \times 1 0^{- 6} \times (5)^{2}

= 100 \times 1 0^{- 6} J

= 100 μ J

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Question Text	In the circuit show n in figure switch $S$ is thrown to position 1 at $t = 0$ . When the current in the resistor is $1 A$ , it is shifted to position 2 . The total heat generated in the circuit after shifting to position 2 is
Topic	Electrostatic Potential and Capacitance
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	79

In the circuit show n in figure switch $S$ is thrown to position 1 at $t = 0$ . When the current in the resistor is $1 A$ , it is shifted to position 2 . The total heat generated in the circuit after shifting to position 2 is

Text solutionVerified

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In the circuit show n in figure switch $S$ is thrown to position 1 at $t = 0$ . When the current in the resistor is $1 A$ , it is shifted to position 2 . The total heat generated in the circuit after shifting to position 2 is