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Physics Part-I

Electrostatic Potential and Capacitance

What is the area of the plates of a 2 F parallel plate capacit

Physics Part-I

Class 12

NCERT

Chapter 1: Electric Charges and Fields

47 questions

Chapter 2: Electrostatic Potential and Capacitance

46 questions

An electrical technician requires a capacitance of

2 μ F

in a circuit across a potential difference of 1 kV. A large number of

1 μ F

capacitors are available to him each of which can withstand a potential difference of not more than 400 V. Suggest a possible arrangement that requires the imum number of capacitors.

What is the area of the plates of a 2 F parallel plate capacitor, given that the separation between the plates is 0.5 cm? [You will realise from your answer why ordinary capacitors are in the range of F or less. However, electrolytic capacitors do have a much larger capacitance (0.1 F) because of very ute separation between the conductors.]

Obtain the equivalent capacitance of the network shown in the figure. For a 300 V supply, detere the charge and voltage across each capacitor.

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Question

Easy

Solving time: 3 mins

What is the area of the plates of a 2 F parallel plate capacitor, given that the separation between the plates is 0.5 cm? [You will realise from your answer why ordinary capacitors are in the range of F or less. However, electrolytic capacitors do have a much larger capacitance (0.1 F) because of very ute separation between the conductors.]

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Text solutionVerified

Capacitance of a parallel capacitor, $V = 2 F$

Distance between the two plates, $d = 0.5 c m = 0.5 \times 1 0^{- 2} m$

Capacitance of a parallel plate capacitor is given by the relation,

$C = \frac{\in _{0} A}{d}$

$A = \frac{C d}{\in _{0}}$

Where,

$\in_{0} =$ Permittivity of free space $= 8.85 \times 1 0^{- 12} C^{2} N^{- 1} m^{- 2}$

$∴ A = \frac{2 \times 0.5 \times 1 0 ^{- 2}}{8.85 \times 1 0 ^{- 12}} = 1130 k m^{2}$

Hence, the area of the plates is too large. To avoid this situation, the capacitance is taken in the range of $μ F$ .

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Practice more questions from Physics Part-I (NCERT)

An electrical technician requires a capacitance of

2 μ F

in a circuit across a potential difference of 1 kV. A large number of

1 μ F

capacitors are available to him each of which can withstand a potential difference of not more than 400 V. Suggest a possible arrangement that requires the imum number of capacitors.

Obtain the equivalent capacitance of the network shown in the figure. For a 300 V supply, detere the charge and voltage across each capacitor.

View all

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Question Text	What is the area of the plates of a 2 F parallel plate capacitor, given that the separation between the plates is 0.5 cm? [You will realise from your answer why ordinary capacitors are in the range of F or less. However, electrolytic capacitors do have a much larger capacitance (0.1 F) because of very ute separation between the conductors.]
Topic	Electrostatic Potential and Capacitance
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	26

Text solutionVerified

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