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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
(a)increases by a factor of .
(b)decreases by a factor of .
(c)remains the same.
(d)increases by a factor of .

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Important Questions on Electrostatics
EASY
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The diagrams below show regions of equipotential.
A positive charge is moved from to in each diagram.

EASY
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Suppose the charge of a proton and an electron differ slightly. One of them is , the other is . If the net electrostatic force and gravitational force between two hydrogen atoms placed at a distance (much greater than atomic size) apart is zero, then is of the order of [Given mass of hydrogen ]

EASY
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An electric dipole is placed at an angle of with an electric field intensity . It experiences a torque equal to . The charge on the dipole, if the dipole length is , is

HARD
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IMPORTANT
A parallel-plate capacitor of area , plate separation and capacitance is filled with four dielectric materials having dielectric constants, , and as shown in the figure below. If a single dielectric material is to be used to have the same capacitance in this capacitor, then its dielectric constant is given by

HARD
NEET
IMPORTANT
A capacitor of is charged as shown in the diagram. When the switch is turned to position , the percentage of its stored energy dissipated is

HARD
NEET
IMPORTANT
Two identical charged spheres suspended from a common point by two massless strings of lengths , are initially at a distance 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 . Then varies as a function of the distance between the spheres, as

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When an -particle of mass moving with a undefined velocity bombards on a heavy nucleus of charge , its distance of the closest approach from the nucleus depends on as:

HARD
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IMPORTANT
A parallel plate air capacitor of capacitance is connected to a cell of emf and then disconnected from it. A dielectric slab of dielectric constant , which can just fill the air gap of the capacitor, is now inserted in it. Which of the following is incorrect?
