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Concepts of Physics

Each capacitor shown in figure has a capacitance of 5⋅0 µF. Th

Concepts of Physics by H. C. Verma

Concepts of Physics

Class 12

HC Verma Part II

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A 100 pF capacitor is charged to a potential difference of 24 V. It is connected to an uncharged capacitor of capacitance 20 pF. What will be the new potential difference across the 100 pF capacitor?

Each capacitor shown in figure has a capacitance of 5⋅0 µF. The emf of the battery is 50 V. How much charge will flow through AB if the switch S is closed?

P

shown in figure has a mass of

10 mg

and a charge of

- 0.01 μ C

. Each plate has a surface area

100 cm^{2}

on one side. What potential difference

V

should be applied to the combination to hold the particle

P

in equilibrium?

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Question

Medium

Solving time: 5 mins

Each capacitor shown in figure has a capacitance of 5⋅0 µF. The emf of the battery is 50 V. How much charge will flow through AB if the switch S is closed?

Views: 5,585 students

Updated on: May 5, 2023

Book:

Concepts of Physics (HC Verma Part II)

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Each capacitor shown in figure has a capacitance of 5⋅0 µF. The emf of the battery is 50 V. How much charge will flow through AB if the switch S is closed?

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Text solutionVerified

Initially, when the switch

S

is open, the equivalent capacitance is given by

C_{eq} = \frac{2 C \times C}{3 C} \Rightarrow C_{eq} = \frac{2}{3} C = \frac{2}{3} \times 5.0 μ F

The charge supplied by the battery is given by

Q = C_{eq} \times V \Rightarrow Q = \frac{2}{3} \times (5.0 μ F) \times (50 V) \Rightarrow Q = \frac{500}{3} μ C

When the switch

S

is closed, no charge goes to the capacitor connected in parallel with the switch. Thus, the equivalent capacitance is given by

C_{eq} = 2 C = 2 \times 5.0 = 10 μ F

The charge supplied by the battery is given by

Q = 10 μ F \times 50 = 500 μ C

The initial charge stored in the shorted capacitor starts discharging."?
Hence, the charge that flows from

A

to

B

is given by

Q_{net} = 500 μ C - \frac{500}{3} μ C \Rightarrow Q_{net} = 3.3 \times 1 0^{- 4} C

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Question Text	Each capacitor shown in figure has a capacitance of 5⋅0 µF. The emf of the battery is 50 V. How much charge will flow through AB if the switch S is closed?
Updated On	May 5, 2023
Topic	Electrostatic Potential and Capacitance
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 3
Upvotes	397
Avg. Video Duration	3 min