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In fig shown each capacitor is of 1 μF capacitance Find equivalent capacitance between points A and B.

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Important Questions on Electrostatic Potential and 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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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
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

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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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
MEDIUM

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

A parallel plate capacitor C with plates of unit area and separation d is filled with a liquid of dielectric constant K=2, the level of liquid isd3,initially. Question Image
Suppose, the liquid level decreases at a constant speed v, the time constant as a function of time is

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
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.
HARD
The parallel combination of two air filled parallel plate capacitors of capacitance C and nC 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:
MEDIUM
In the circuit below, the potential difference between A and B is

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MEDIUM
Effective capacitance of parallel combination of two capacitors C1 and C2 is 10μF. When these capacitors are individually connected to a voltage source of 1V, the energy stored in the capacitor C2 is 4 times that of C1. If these capacitors are connected in series, their effective capacitance will be:
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

The equivalent capacitance of the combination of the capacitors is

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MEDIUM

In the circuit diagram shown in the adjoining figure, the resultant capacitance between P and Q is

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MEDIUM
When two identical capacitors are charged individually to different potentials and then connected in parallel, after disconnecting from the source ________
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
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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