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What is the effective capacitance between points X and Y?

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Important Questions on Capacitance

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Physics>Electricity and Magnetism>Capacitance>Combination of Capacitors

A combination of parallel plate capacitors is maintained at a certain potential difference.

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When a

3 mm

thick slab is introduced between all the plates, in order to maintain the same potential difference, the distance between the plates is increased by

2.4 mm

. Find the dielectric constant of the slab.

EASY

Physics>Electricity and Magnetism>Capacitance>Combination of Capacitors

Two capacitors

C_{1}

and

C_{2}

in a circuit are joined as shown in the figure. The potentials of points

A

and

B

are

V_{1}

and

V_{2}

respectively. Then the potential of point

D

will be

MEDIUM

Physics>Electricity and Magnetism>Capacitance>Combination of Capacitors

When two capacitors are connected in parallel the resulting combination has capacitance

10 μ F .

The same capacitors when connected in series results in a capacitance

0.5 μ F .

The respective values of individual capacitors are

MEDIUM

Physics>Electricity and Magnetism>Capacitance>Combination of Capacitors

The equivalent capacitance between $A$ and $B$ in the circuit is given below.
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MEDIUM

Physics>Electricity and Magnetism>Capacitance>Combination of Capacitors

Two capacitor when connected in series have a capacitance of

3 μF,

and when connected in parallel have a capacitance of

16 μF .

Their individual capacities are

HARD

Physics>Electricity and Magnetism>Capacitance>Combination of Capacitors

The gap between the plates of a parallel plate capacitor of area

A

and distance between plates

d

, is filled with a dielectric whose relative permittivity varies linearly from

ϵ_{1}

at one plate to

ϵ_{2}

at the other. The capacitance of the capacitor is

EASY

Physics>Electricity and Magnetism>Capacitance>Combination of Capacitors

When three capacitors of equal capacities are connected in parallel and one of the same capacitor is connected in series with its combination. The resultant capacity is

3 .75 μF

. The capacity of each capacitor is

MEDIUM

Physics>Electricity and Magnetism>Capacitance>Combination of Capacitors

Figure shows charge $(q)$ versus voltage $(V)$ graph for series and parallel combination of two given capacitors. The capacitances are:
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MEDIUM

Physics>Electricity and Magnetism>Capacitance>Combination of Capacitors

In the circuit shown, find $C$ if the effective capacitance of the whole circuit is to be $0.5 μ F .$ All values in the circuit are in $μ F .$

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MEDIUM

Physics>Electricity and Magnetism>Capacitance>Combination of Capacitors

In the circuit below, the potential difference between

A

and

B

HARD

Physics>Electricity and Magnetism>Capacitance>Combination of Capacitors

A combination of capacitors is set up as shown in the figure. The magnitude of the electric field, due to a point charge Q (having a charge equal to the sum of the charges on the

4 μ F

and

9 μ F

capacitors), at a point distant 30 m from it, would equal:
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MEDIUM

Physics>Electricity and Magnetism>Capacitance>Combination of Capacitors

The equivalent capacitance between

a

and

b

for the combination of capacitors shown in figure where all capacitances are in microfarad is,

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MEDIUM

Physics>Electricity and Magnetism>Capacitance>Combination of Capacitors

Figure shows a network of capacitors where the number indicates capacitances in micro Farad. The value of capacitance C if the equivalent capacitance between point A and B is to be $1 μ F$ is :

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EASY

Physics>Electricity and Magnetism>Capacitance>Combination of Capacitors

Three capacitances, each of 3 $μ F$ , are provided. These cannot be combined to provide the resultant capacitance of :

EASY

Physics>Electricity and Magnetism>Capacitance>Combination of Capacitors

Three capacitors each of

4 μ F

are to be connected in such a way that the effective capacitance is

6 μ F

. This can be done by connecting them

MEDIUM

Physics>Electricity and Magnetism>Capacitance>Combination of Capacitors

Effective capacitance of parallel combination of two capacitors

C_{1}

and

C_{2}

10 μ F .

When these capacitors are individually connected to a voltage source of

1 V,

the energy stored in the capacitor

C_{2}

4

times that of

C_{1} .

If these capacitors are connected in series, their effective capacitance will be:

HARD

Physics>Electricity and Magnetism>Capacitance>Combination of Capacitors

The parallel combination of two air filled parallel plate capacitors of capacitance

C

and

n C

is connected to a battery of voltage,

V .

When the capacitors are fully charged, the battery is removed and after that a dielectric material of dielectric constant

K

is placed the two plates of the first capacitor. The new potential difference of the combined system is:

HARD

Physics>Electricity and Magnetism>Capacitance>Combination of Capacitors

A capacitance of

2 μF

is required in an electrical circuit across a potential difference of

1.0 kV

. A large number of

1 μ F

capacitors are available which can withstand a potential difference of not more than

300 V

. The minimum number of capacitors required to achieve this is:

MEDIUM

Physics>Electricity and Magnetism>Capacitance>Combination of Capacitors

The figure shows a capacitor of capacitance $C$ connected to a battery via a switch, having a total charge $Q_{0}$ on it, in steady-state. When the switch $S$ is turned from position $A$ to position $B$ , the energy dissipated in the circuit is

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HARD

Physics>Electricity and Magnetism>Capacitance>Combination of Capacitors

In the given circuit, charge

Q_{2}

on the

2 μ F

capacitor changes as C is varied from

1 μF

3 μ F

Q_{2}

as a function of 'C' is given properly by: (figures are drawn schematically and are not to scale)
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What is the effective capacitance between points X and Y?

Important Questions on Capacitance

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