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Determine the equivalent capacitance of capacitors in parallel combination.

Important Questions on Electrostatics

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The equivalent capacitance between A and B is,

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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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The equivalent capacitance between A and B in the circuit is given below.
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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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A capacitor with capacitance C0 consists of two concentric spherical conductors. If the radii of the inner and the outer spherical conductors are halved, what is the new capacitance?
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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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Two capacitor when connected in series have a capacitance of μF, and when connected in parallel have a capacitance of 16 μF. Their individual capacities are
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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
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Find the equivalent capacitance between two points A & B, for given figure (electric circuit) [Capacitance of each capacitor is C=3 μF]

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Two capacitors of capacitance 20 μF and 60 μF are connected in series. If the potential difference between the two ends of the combination is 40 V, calculate the terminal potential difference of each capacitor.
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In the circuit below, the potential difference between A and B is

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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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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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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
EASY

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

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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
Two capacitors C1 and C2 in a circuit are joined as shown in the figure. The potentials of points A and B are V1 and V2 respectively. Then the potential of point D will be

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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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