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A small conducting sphere of radius mounted on an insulated handle and a positive charge is inserted through a hole in the wall of a hollow conducting sphere of inner radius and outer radius . The hollow sphere is supported on an insulating stand and is initially uncharged. The small sphere is placed at the centre of the hollow sphere. Neglect any effect of the hole. Which of the following statements will be true for this system?
(a)No work will be done in carrying a small charge from the inner conductor to the outer conductor.
(b)The electric field at a point in the region between the spheres at a distance from the centre is equal to .
(c)The electric field at a point outside the hollow sphere at a distance from the centre is
(d)The potential of the inner sphere with respect to the outer sphere is given by .

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Important Questions on Electric Potential
MEDIUM
JEE Advanced
IMPORTANT
Mark the correct statements.

EASY
JEE Advanced
IMPORTANT
A hollow conducting sphere of inner radius and outer radius is given charge as shown in the figure, then the

EASY
JEE Advanced
IMPORTANT
A charged particle having a positive charge approaches a grounded metallic spheres of radius with a constant small speed as shown in figure. In this situation,.

MEDIUM
JEE Advanced
IMPORTANT
The electric potential at a point certain distance from a point charge is and the electric field is . Which of the following statements will be true?

MEDIUM
JEE Advanced
IMPORTANT
A charged particle moves directly towards another charged particle . For the and system, the total momentum is and the total energy is .

HARD
JEE Advanced
IMPORTANT
Consider the following conclusions regarding the components of an electric field at a certain point in space given by, .

MEDIUM
JEE Advanced
IMPORTANT
There is a fixed positive charge at , and and are points equidistant from . A positive charge is taken slowly by an external agent from to along the line and then along the line .

HARD
JEE Advanced
IMPORTANT
The electric potential in a region is given by the relation . If a dipole is placed at the position with dipole moment pointing along the positive -direction, then
