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Electrostatic Potential and Capacitance

Charging and discharging of capacitors

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Question

Medium

Solving time: 3 mins

In the given circuit, charge $Q_{2}$ on the $2 μ F$ capacitor changes as $C$ is varied from $1 μ F$ to $3 μ F$ , $Q_{2}$ as a function of $C$ is given properly by (figures are drawn schematically and are not to scale)

Views: 5,290 students

Updated on: Oct 1, 2023

Book:

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

Exam:

JEE Mains 2015

Found 2 tutors discussing this question

Charlotte Discussed

In the given circuit, charge

Q_{2}

on the

2 μ F

capacitor changes as

C

is varied from

1 μ F

3 μ F

Q_{2}

as a function of

C

is given properly by (figures are drawn schematically and are not to scale)

6 mins ago

Discuss this question LIVE

6 mins ago

Text solutionVerified

Suppose the potential of point

x

V

From the circuit diagram, we can write

Q_{C} = Q_{1} + Q_{2}

C (E - V) = 1 \times V + 2 \times V

V [C + 3] = CE

V = \frac{CE}{3 + C}

∴ Q_{2} = C_{2} (V)

= \frac{2 CE}{3 + C} = \frac{2 E}{1 + 3/ C}

C_{1}

varied from

1 μ F

3 μ F

, charge increases with decreasing slope.

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Question Text	In the given circuit, charge $Q_{2}$ on the $2 μ F$ capacitor changes as $C$ is varied from $1 μ F$ to $3 μ F$ , $Q_{2}$ as a function of $C$ is given properly by (figures are drawn schematically and are not to scale)
Updated On	Oct 1, 2023
Topic	Electrostatic Potential and Capacitance
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 12
Upvotes	1419
Avg. Video Duration	8 min

In the given circuit, charge $Q_{2}$ on the $2 μ F$ capacitor changes as $C$ is varied from $1 μ F$ to $3 μ F$ , $Q_{2}$ as a function of $C$ is given properly by (figures are drawn schematically and are not to scale)

Text solutionVerified

Filo tutor solutions (12)

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In the given circuit, charge Q2​ on the 2μF capacitor changes as C is varied from 1μF to 3μF, Q2​ as a function of C is given properly by (figures are drawn schematically and are not to scale)

Text solutionVerified

Filo tutor solutions (12)

Questions from JEE Mains 2015 - PYQs

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

Practice questions from Electrostatic Potential and Capacitance in the same exam

Practice more questions from Electrostatic Potential and Capacitance

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In the given circuit, charge $Q_{2}$ on the $2 μ F$ capacitor changes as $C$ is varied from $1 μ F$ to $3 μ F$ , $Q_{2}$ as a function of $C$ is given properly by (figures are drawn schematically and are not to scale)