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Lcr circuit

In an L-C-R circuit as shown below, both switches are open ini

Question

Medium

Solving time: 3 mins

In an $L - C - R$ circuit as shown below, both switches are open initially. Now, switch $S_{1}$ is closed and $S_{2}$ kept open $(q)$ is charge on the capacitor and $τ = RC$ is capacitance time constant). Which of the following statement is correct?

Work done by the battery is half of the energy dissipated in the resistor

t = τ, q = C V /2

t = 2 τ, q = C V (1 - e^{- 2})

t = \frac{τ}{a}, q = C V (1 - e^{- 1})

Views: 5,439 students

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2013

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In an

L - C - R

circuit as shown below, both switches are open initially. Now, switch

S_{1}

is closed and

S_{2}

kept open

(q)

is charge on the capacitor and

τ = RC

is capacitance time constant). Which of the following statement is correct?

6 mins ago

Discuss this question LIVE

6 mins ago

Text solutionVerified

Exp. (c)
For charging capacitor,

q

is given as

q = q_{0} (1 - e^{- t / τ}) = C V (1 - e^{- t / τ})

t = 2 τ

q = C V (1 - e^{\frac{- 2 τ}{τ}}) \Rightarrow q = C V (1 - e^{- 2})

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Question Text	In an $L - C - R$ circuit as shown below, both switches are open initially. Now, switch $S_{1}$ is closed and $S_{2}$ kept open $(q)$ is charge on the capacitor and $τ = RC$ is capacitance time constant). Which of the following statement is correct?
Topic	Alternating Current
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	144

In an $L - C - R$ circuit as shown below, both switches are open initially. Now, switch $S_{1}$ is closed and $S_{2}$ kept open $(q)$ is charge on the capacitor and $τ = RC$ is capacitance time constant). Which of the following statement is correct?

Text solutionVerified

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In an L−C−R circuit as shown below, both switches are open initially. Now, switch S1​ is closed and S2​ kept open (q) is charge on the capacitor and τ=RC is capacitance time constant). Which of the following statement is correct?

Text solutionVerified

Questions from JEE Mains 2013 - PYQs

Practice questions from Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

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In an $L - C - R$ circuit as shown below, both switches are open initially. Now, switch $S_{1}$ is closed and $S_{2}$ kept open $(q)$ is charge on the capacitor and $τ = RC$ is capacitance time constant). Which of the following statement is correct?