a) What can you say about the charge density inside a piece of conducting material at electrostatic equilibrium? Justify your answer.
b) Explain why two distinct equipotential surfaces cannot intersect.
c) Explain why equipotential surfaces are perpendicular to the electric field lines.
d) A point charge q=30nC is placed in the cavity of a conducting shell. The shell itself has a total charge of -50nC. Find the charges on the inner and outer surfaces of the shell.
Here,
a) at the equilibrium
as the eelectric field inside the conducting material is zero
the charge desnity inside the conducting material is zero
b)
when two equipotential surfaces intersect , the potential on both the surfaces will be same at the point of intersection.
hence ,the equipotential will be same.
c)
as work done by electric field in moving the charge on an equipotential surface will be zero.
hence ,the electric field must be zero in the direction of motion
therefore , the equipotential surfaces are perpendicular to the electric field lines.
d)
charge on the inner surface = - charge on the point charge
charge on the inner surface = - 30 nC
charge on the inner surface is -30 nC
-------------------------
charge on the outer surface = - 50 nC -(-30 nC)
charge on the outer surface = -20 nC
a) What can you say about the charge density inside a piece of conducting material at...
A positive charge is kept (fixed) off-center inside a fixed
spherical conducting shell that is electrically neutral, and the
charges in the shell are allowed to reach electrostatic
equilibrium.The large positive charge inside the shell is roughly 16 times
that of the smaller charges shown on the inner and outer surfaces
of the spherical shell. Which of the following figures best
represents the charge distribution on the inner and outer walls of
the shell?
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