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In the circuit shown in figure switch S is thrown at position-

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In the circuit shown in figure switch $S$ is thrown at position-1 at $t = 0$ . When the current in the resistor is 1 A switch is then shifted to position-2. The total heat generated in the circuit after switch is shifted to position-2 is

(A) Zero
(B) $625 μ J$
(C) $100 μ J$
(D) None of the above

Views: 5,195 students

Book:

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

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Michael Discussed

In the circuit shown in figure switch

S

is thrown at position-1 at

t = 0

. When the current in the resistor is 1 A switch is then shifted to position-2. The total heat generated in the circuit after switch is shifted to position-2 is

(A) Zero
(B)

625 μ J

(C)

100 μ J

(D) None of the above

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

In position-1, maximum current is

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

At the given time when switch is shifted to position-2 current is

1 A

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

5 V

Now it is shifted to position-2 where in steady state it is again charge to 5V. but with opposite polarity. So in final steady state the energy stored in capacitor is same as it had at initial instant. Thus total work done by the lower battery is converted into heat. As battery polarity is reversed total charge supplied by the battery is

2 CV

so total heat produced is given as

\Rightarrow \Rightarrow \Rightarrow H = (Δ q) V = (2 C V) (V) = 2 C V^{2} H = 2 \times 2 \times 1 0^{- 6} \times (5)^{2} H = 100 \times 1 0^{- 6} J H = 100 μ J

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Question Text	In the circuit shown in figure switch $S$ is thrown at position-1 at $t = 0$ . When the current in the resistor is 1 A switch is then shifted to position-2. The total heat generated in the circuit after switch is shifted to position-2 is (A) Zero (B) $625 μ J$ (C) $100 μ J$ (D) None of the above
Topic	Current Electricity
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	105

In the circuit shown in figure switch $S$ is thrown at position-1 at $t = 0$ . When the current in the resistor is 1 A switch is then shifted to position-2. The total heat generated in the circuit after switch is shifted to position-2 is

(A) Zero
(B) $625 μ J$
(C) $100 μ J$
(D) None of the above

Text solutionVerified

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In the circuit shown in figure switch S is thrown at position-1 at t=0. When the current in the resistor is 1 A switch is then shifted to position-2. The total heat generated in the circuit after switch is shifted to position-2 is(A) Zero(B) 625μJ(C) 100μJ(D) None of the above

Text solutionVerified

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In the circuit shown in figure switch $S$ is thrown at position-1 at $t = 0$ . When the current in the resistor is 1 A switch is then shifted to position-2. The total heat generated in the circuit after switch is shifted to position-2 is

(A) Zero
(B) $625 μ J$
(C) $100 μ J$
(D) None of the above