The magnitude of the electric field E → in the annular region of charged cylindrical capacitor

varies as 1 r where r is the distance from the axis

is higher near the outer cylinder than near the inner cylinder

varies as 1 r 2 , where r is the distance from the axis

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IMPORTANT

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A parallel plate capacitor with air as the dielectric has capacitance $C$ A slab of dielectric constant $K$ and having the same thickness as the separation between the plates is introduced so as to fill one-fourth of the capacitor as shown in figure. The new capacitance will be

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Important Questions on Capacitance and Capacitors

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IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 4 - Capacitance and Capacitors>EXERCISE 4>Q 40

Find the ratio of their equivalent capacitances where three capacitors of capacitances

1 μ \bar{F}, 2 μ F

and

4 μ F

are connected first in series combination and then in a parallel combination.

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IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 4 - Capacitance and Capacitors>EXERCISE 4>Q 41

Each capacitor shown in is $2 μ F$ . Then the equivalent capacitance between points $A$ and $B$ is

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IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 4 - Capacitance and Capacitors>EXERCISE 4>Q 42

The work done is placing a charge of $8 \times 10^{- 18}$ coulomb on a condenser of capacity $100 μ F$ is

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IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 4 - Capacitance and Capacitors>EXERCISE 4>Q 43

The magnitude of the electric field

\vec{E}

in the annular region of charged cylindrical capacitor

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IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 4 - Capacitance and Capacitors>EXERCISE 4>Q 44

A parallel plate capacitor of plate area

A

and plate separation

d

is charged to potential difference

V

and then the battery is disconnected. A slab of dielectric constant

K

is then inserted between the plates of the capacitor so as to fill the space between the plates. If

Q, E

and

W

denotes respectively the magnitude of charge on each plate, the electric field between the plates (after the slab is inserted) and work done on the system, in question, in the process of inserting the slab, then which of the following statement is wrong ?

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IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 4 - Capacitance and Capacitors>EXERCISE 4>Q 45

If the plates of the capacitor are moved further apart by means of insulating handles. A parallel plate capacitor is charged and the charging battery is then disconnected.

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IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 4 - Capacitance and Capacitors>EXERCISE 4>Q 46

Two parallel plate capacitors of capacitance

C

and

2 C

are connected in parallel and charged to a potential difference

V

by the battery. The battery is then disconnected and the space between the plates of capacitor of capacitance

C

is completely filled with a material of dielectric constant

K

. The potential difference across the capacitors now becomes

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IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 4 - Capacitance and Capacitors>EXERCISE 4>Q 47

A parallel plate capacitor of value

1.77 μ F

is to be designed using a dielectric material (dielectric constant

200

, breaking strength of

3 \times 10^{6} {Vm}^{- 1})

. In order to make such a capacitor, which can withstand a potential difference of

20 V

Across the plates, the separation

d

Between the plates and the area

A

of the plates can be

(ε_{0} = 8.85 \times 10^{- 12} C^{2} N^{- 1} m^{- 2})

A parallel plate capacitor with air as the dielectric has capacitance C A slab of dielectric constant K and having the same thickness as the separation between the plates is introduced so as to fill one-fourth of the capacitor as shown in figure. The new capacitance will be

Important Questions on Capacitance and Capacitors

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A parallel plate capacitor with air as the dielectric has capacitance $C$ A slab of dielectric constant $K$ and having the same thickness as the separation between the plates is introduced so as to fill one-fourth of the capacitor as shown in figure. The new capacitance will be