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12th Assam Board

IMPORTANT

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Show that the force on each plate of a parallel plate capacitor has a magnitude equal to $\frac{1}{2} Q E$ , where $Q$ is the charge on the capacitor, and $E$ is the magnitude of electric field between the plates. Explain the origin of the factor $\frac{1}{2}$ .

Important Questions on Electrostatic Potential and Capacitance

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12th Assam Board

IMPORTANT

PHYSICS PART-1 TEXTBOOK FOR CLASS XII>Chapter 2 - Electrostatic Potential and Capacitance>ADDITIONAL EXERCISES>Q 2.29

A spherical capacitor consists of two concentric spherical conductors, held in position by suitable insulating supports. Show that the capacitance of a spherical capacitor is given by

C = \frac{4 π ε_{0} r_{1} r_{2}}{r_{1} - r_{2}}

where

r_{1}

and

r_{2}

are the radii of outer and inner spheres, respectively.
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HARD

12th Assam Board

IMPORTANT

PHYSICS PART-1 TEXTBOOK FOR CLASS XII>Chapter 2 - Electrostatic Potential and Capacitance>ADDITIONAL EXERCISES>Q 2.3

A spherical capacitor has an inner sphere of radius $12 cm$ and an outer sphere of radius $13 cm$ . The outer sphere is earthed, and the inner sphere is given a charge of $2.5 μC$ . The space between the concentric spheres is filled with a liquid of dielectric constant $32$ . Determine the capacitance of the capacitor. Also, what is the potential of the inner sphere. Compare the capacitance of this capacitor with that of an isolated sphere of radius 12 cm. Explain why the latter is much smaller.

EASY

12th Assam Board

IMPORTANT

PHYSICS PART-1 TEXTBOOK FOR CLASS XII>Chapter 2 - Electrostatic Potential and Capacitance>ADDITIONAL EXERCISES>Q 2.31

Two large conducting spheres carrying charges

Q_{1}

and

Q_{2}

are brought close to each other. Is the magnitude of electrostatic force between them exactly given by

Q_{1} Q_{2} / 4 π ε_{0} r^{2},

where

r

is the distance between their centers?

EASY

12th Assam Board

IMPORTANT

PHYSICS PART-1 TEXTBOOK FOR CLASS XII>Chapter 2 - Electrostatic Potential and Capacitance>ADDITIONAL EXERCISES>Q 2.31

If Coulomb’s law involved

1 / r^{3}

dependence (instead of

1 / r^{2}

), would Gauss’s law be still true?

EASY

12th Assam Board

IMPORTANT

PHYSICS PART-1 TEXTBOOK FOR CLASS XII>Chapter 2 - Electrostatic Potential and Capacitance>ADDITIONAL EXERCISES>Q 2.31

A small test charge is released at rest at a point in an electrostatic field configuration. Will it travel along the field line passing through that point?

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12th Assam Board

IMPORTANT

PHYSICS PART-1 TEXTBOOK FOR CLASS XII>Chapter 2 - Electrostatic Potential and Capacitance>ADDITIONAL EXERCISES>Q 2.31

What is the work done by the field of a nucleus in a complete circular orbit of the electron? What if the orbit is elliptical?

MEDIUM

12th Assam Board

IMPORTANT

PHYSICS PART-1 TEXTBOOK FOR CLASS XII>Chapter 2 - Electrostatic Potential and Capacitance>ADDITIONAL EXERCISES>Q 2.31

We know that electric field is discontinuous across the surface of a charged conductor. Is electric potential also discontinuous there?

EASY

12th Assam Board

IMPORTANT

PHYSICS PART-1 TEXTBOOK FOR CLASS XII>Chapter 2 - Electrostatic Potential and Capacitance>ADDITIONAL EXERCISES>Q 2.31

What meaning would you give to the capacitance of a single conductor?

Show that the force on each plate of a parallel plate capacitor has a magnitude equal to 12QE, where Q is the charge on the capacitor, and E is the magnitude of electric field between the plates. Explain the origin of the factor 12.

Important Questions on Electrostatic Potential and Capacitance

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Show that the force on each plate of a parallel plate capacitor has a magnitude equal to $\frac{1}{2} Q E$ , where $Q$ is the charge on the capacitor, and $E$ is the magnitude of electric field between the plates. Explain the origin of the factor $\frac{1}{2}$ .