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A charge q is placed at the centre of a conducting spherical shell of radius R, which is given a charge Q. An external charge Q' is also present at distance R'(R'>R) from q. Then the resultant field will be best represented for region r<R by: [ where r is the distance of the point from q ]

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Important Questions on Electrostatics

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JEE Main/Advance
IMPORTANT

A charge q is placed at the centre of a conducting spherical shell of radius R, which is given a charge Q. An external charge Q' is also present at distance R'(R'>R) from q. Then the resultant field will be best represented for region r<R by, [where r is the distance of the point from q]

In the above question, if Q' is removed then which option is correct.

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Two identical charged spheres suspended from a common point by two light strings of length l, are initially at a distance dl apart due to 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 v. If x denotes the distance between the spheres, the v varies as

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Acidified water from a certain reservoir kept at a potential V falls in the form of small droplets each of radius r through a hole into a hollow conducting sphere of radius a. The sphere is insulated and is initially at zero potential. If the drops continue to fall until the sphere is half full, the potential acquired by the sphere is

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Select the correct alternative
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Two equal negative charges q each are fixed at the points (0, a) and (0, -a) on the y-axis. A positive charge Q is released from rest at the point (2a, 0) on the x-axis. The charge Q will
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An oil drop has a charge  9.6 × 1019 C and mass 1.6 × 1015 gm. When allowed to fall, due to air resistance force it attains a constant velocity. Then if a uniform electric field is to be applied vertically to make the oil drop ascend up with the same constant speed, which of the following are correct. (g=10 ms2) (Assume that the magnitude of resistance force is same in both the cases)
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A non-conducting solid sphere of radius R is uniformly charged. The magnitude of the electric field due to the sphere at a distance r from its centre-
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A uniform electric field of strength E exists in a region. An electron (charge e, mass m) enters a point A with velocity V j^ . It moves through the electric field and exits at point B.Then:

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