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JEE 2020 Physics: Electric Potential and Capacitance Quiz -2 (18.06.2019)

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Question 1

The gravitational field in a region is given by :

If the potential at the origin is taken to be zero, then the ratio of the potential at the point (12 m, 0) and (0, 5 m) is :

Question 2

This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the one that best describes the two Statements.

Statement 1 : No work is required to be done to move a test charge between any two points on an equipotential surface.

Statement 2 : Electric lines of force at the equipotential surfaces are mutually perpendicular to each other.

Question 3

Two positive charges of magnitude q are placed at the ends of a side (side 1) of a square of side 2a. Two negative charges of the same magnitude are kept at the other corners. Starting from rest, if a charge Q moves from the middle of side 1 to the centre of square, its kinetic energy at the centre of square is :

Question 4

A point charge of magnitude  is fixed at (0, 0, 0)m. An isolated uncharged spherical conductor is fixed with its center at (4, 0, 0)m. The potential and the induced electric field at the centre of the sphere is :

Question 5

A parallel plate capacitor of area  and separation 3 mm is charged initially to  If the medium between the plate gets slightly conducting and the plate loses the charge initially at the rate of  then what is the magnetic field between the plates?

Question 6

The capacitor of capacitance C in the circuit shown is fully charged initially. Resistance is R.

After the switch S is closed, the time taken to reduce the stored energy in the capacitor to half its initial value is

Question 7

A spherical condenser has inner and outer spheres of radii a and b respectively. The space between the two is filled with air. The difference between the capacities of two condensers formed when the outer sphere is earthed and when the inner sphere is earthed will be

Question 8

An insulator plate is passed between the plates of a capacitor. Then, current

Question 9

Positive and negative point charges of equal magnitude are kept at and , respectively. The work done by the electric field when another positive point charge is moved from (-a, 0, 0) to (0, a, 0) is

Question 10

Two identical air filled parallel plate capacitors are charged to the same potential in the manner shown by closing the switch S. If now the switch S is opened and the space between the plates is filled with a dielectric of relative permittivity , then
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