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Six identical parallel metallic large plates are located in air at equal distances d to neighbouring plates. The area of each plate is A. Some of the plates are connected by conducting wires to each other. The capacitance of the system of plates between two points P and Q in pF is : (Take A=0.05 m2, d=17.7 mm,ε0=8.85×10-12 F m-1).

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Important Questions on Electrostatics

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

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.

MEDIUM

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

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MEDIUM

The equivalent capacitance between A and B is,

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MEDIUM
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?
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
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?
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
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.
MEDIUM

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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MEDIUM
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:
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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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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 :

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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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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