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A capacitor is charged by a battery. The battery is removed and another identical uncharged capacitor is connected in parallel. The total electrostatic energy of resulting system

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Important Questions on Electrostatics

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The diagrams below show regions of equipotential.

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A positive charge is moved from A to B in each diagram.

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Suppose the charge of a proton and an electron differ slightly. One of them is e, the other is e+Δe. If the net electrostatic force and gravitational force between two hydrogen atoms placed at a distance d (much greater than atomic size) apart is zero, then Δe is of the order of [Given mass of hydrogen mh= 1.67×1027 kg]
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An electric dipole is placed at an angle of 30° with an electric field intensity 2×105 N C-1. It experiences a torque equal to 4Nm . The charge on the dipole, if the dipole length is 2cm , is
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A parallel-plate capacitor of area A, plate separation d and capacitance C is filled with four dielectric materials having dielectric constants k1k2k3 and k4 as shown in the figure below. If a single dielectric material is to be used to have the same capacitance  C in this capacitor, then its dielectric constant  k is given by

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A capacitor of μF is charged as shown in the diagram. When the switch S is turned to position 2, the percentage of its stored energy dissipated is

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Two identical charged spheres suspended from a common point by two massless strings of lengths l, are initially at a distance d( dl ) apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity υ. Then υ varies as a function of the distance x between the spheres, as
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When an α -particle of mass  m moving with a undefined velocity bombards on a heavy nucleus of charge Ze, its distance of the closest approach from the nucleus depends on m as:
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A parallel plate air capacitor of capacitance C is connected to a cell of emf V and then disconnected from it. A dielectric slab of dielectric constant K, which can just fill the air gap of the capacitor, is now inserted in it. Which of the following is incorrect?