Question

a) Two pith balls each of mass m and carrying charge q aresuspended
from the same point by insulating threads of length L. Findan
expression for the angle each string makes with the vertical.

b) A pith ball of mass m and carrying a charge q is attached to thecenter
of a very large vertical insulating sheet carrying a uniformsurface
charge density s by an insulating thread of length L. Find an
expression for the angle the string makes with the plane.

c) A pith ball of mass m and carrying a charge q is positioned adistance
D from a very large conducting plane. For what value of D wouldthe
electric force on the ball be the same magnitude as in parta)?

d) For each of the three cases above, sketch the total electricfield

everywhere to the left of the plane

a) Two pith balls each of mass m and carrying charge q are suspended from the same point by insulating threads of length L. Find an expression for the angle each string makes with the vertical. b) A pith ball of mass m and carrying a charge q is attached to the center of a very large vertical insulating sheet carrying a uniform surface charge density s by an insulating thread of length L. Find an expression for the angle the string makes with the plane. c) A pith ball of mass m and carrying a charge q is positioned a distance D from a very large conducting plane. For what value of D would the electric force on the ball be the same magnitude as in part a)? d) For each of the three cases above, sketch the total electric field everywhere to the left of the plane

Show transcribed image text a) Two pith balls each of mass m and carrying charge q are suspended from the same point by insulating threads of length L. Find an expression for the angle each string makes with the vertical. b) A pith ball of mass m and carrying a charge q is attached to the center of a very large vertical insulating sheet carrying a uniform surface charge density s by an insulating thread of length L. Find an expression for the angle the string makes with the plane. c) A pith ball of mass m and carrying a charge q is positioned a distance D from a very large conducting plane. For what value of D would the electric force on the ball be the same magnitude as in part a)? d) For each of the three cases above, sketch the total electric field everywhere to the left of the plane