Lecture 8

1. A point charge -3Q lies at the centre of a conducting shell of radius 2R. The net charge on the outer surface of the shell is





2. Two identical spherical conductors A and B of radius R , each carrying a charge Q are kept at some distance from each other. A third spherical conductor C , initially uncharged, is first brought into contact with A and then with B before finally being removed to a far away distance. If the charge on C is (10/9)Q, the radius of C is





3. 64 identical spherical drops of mercury are combined to form a large drop. If the potential of each smaller drop is 1 V, the potential of the final drop is





4. Infinite number of charges of equal magnitude Q are placed along the axis at distances a, 2a, 3a, ...from the origin. If the charges alternate in sign and the charge closest to the origin is positive, the potential at the origin due to the charge distribution is





5. Three charges, Q, q and q are arranged at the vertices of a right angled isosceles triangle of base a. If the charge Q are fixed, the configuration has minimum electrostatic energy when q is equal to





6. The electric potential in a region along the x axis varies with distance x (in meters) as (Volts). The force acting on a 1mC charge located at is





7. Four electric charges +q, +q, -q and -q are placed at the corners of a square of side 2L (see figure). The electric potential at point A, midway between the two charges +q and +q, is





8. Two uniformly charged concentric rings of radii R and 2R are placed  on a plane. Each ring has a charge density . The electric potential at the centre of the rings is





9. A hemisphere of radius R is charged with a uniform surface charged density s on its curved surface. The potential the centre is





10. A hollow metal sphere of radius R is charged to a potential of 10 V on its surface. What is the potential at the centre of the sphere?





Correct! Incorrect!