EASY
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In the given circuit, all the capacitors are initially uncharged. After closing the switch S1 for a long time suddenly S2 is also closed and kept closed for a long time. Total heat produced after closing S2 will be :

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Important Questions on Capacitance

MEDIUM

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

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MEDIUM

Calculate the amount of charge on capacitor of 4 μF. The internal resistance of battery is 1Ω:

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MEDIUM

The figure shows a capacitor of capacitance C connected to a battery via a switch, having a total charge Q0 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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MEDIUM
When two capacitors are connected in parallel the resulting combination has capacitance 10 μF. The same capacitors when connected in series results in a capacitance 0.5 μF. The respective values of individual capacitors are
EASY

In the given circuit diagram,

E=5 V, r=1 Ω, R2=4 Ω, R1=R3=1 Ω and C=3 μF

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Then, what will be the numerical value of charge on each plates of the capacitor.

EASY
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
HARD
In the given circuit, charge Q2 on the 2 μF capacitor changes as C is varied from 1 μF to 3 μF. Q2 as a function of 'C' is given properly by: (figures are drawn schematically and are not to scale)
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HARD
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 μF and 9 μF capacitors), at a point distant 30 m from it, would equal:
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MEDIUM
An electric bulb, a capacitor, a battery and a switch are all in series in a circuit. How does the intensity of light vary when the switch is turn on?
HARD

Five identical capacitors, of capacitance 20 μF each, are connected to a battery of 150 V, in a combination as shown in the diagram. What is the total amount of charge stored?

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MEDIUM
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.
MEDIUM

In the circuit shown in the figure, the total charge is 750 μC and the voltage across capacitor C2 is 20 V. Then the charge on capacitor C2 is :

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EASY

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

HARD
A capacitance of μF is required in an electrical circuit across a potential difference of 1.0 kV. A large number of 1 μF 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:
HARD
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 ϵ1 at one plate to ϵ2 at the other. The capacitance of the capacitor is
EASY
Three capacitors each of 4 μF are to be connected in such a way that the effective capacitance is 6 μF. This can be done by connecting them
MEDIUM

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 μF is :

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MEDIUM

For the arrangement of capacitors as shown in the circuit, the effective capacitance between point A and B is (capacitance of each capacitor is 4μF)

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HARD

In the circuit shown, charge on the 5μF  capacitor is :

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MEDIUM

The equivalent capacitance between A and B is,

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