A small conducting spherical shell with inner radius a and outer radius b is con
ID: 2000668 • Letter: A
Question
A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has a total charge of -1q and the outer shell has a total charge of +4q.
True/False
T/F The total charge on the outer surface of the small shell is -5q.
T/F The total charge on the outer surface of the large shell is +3q.
T/F The total charge on the inner surface of the small shell is -5q.
T/F The radial component of the electric field in the region c < r < d is given by -1q/(40r2).
T/F The electric field in the region r > d is zero.
T/F The total charge on the inner surface of the large shell is +1q.
T/F The electric field in the region r < a is zero.
Explanation / Answer
The total charge on the outer surface of the small shell is -5q.
Flase: The total charge on the outer surface of the small shell is –1q, since the inner sphere has a charge of -1q
The total charge on the outer surface of the large shell is +3q.
Flase: The total charge on the outer surface of the small shell is +4q, since the outer sphere has a charge of +4q
The total charge on the inner surface of the small shell is -5q.
Flase: The total charge on the outer surface of the small shell is +1q, since the inner sphere has a charge of -1q and +1q will be induced on inner surface of the small shell.
The radial component of the electric field in the region c < r < d is given by -1q/(40r2).
True: E inside the conductor = 0
The electric field in the region r > d is zero.
Flase: Qnet at r > d = (-1q + 4q) = +3q hence E will non zero. E = 3q/(40r2).
The total charge on the inner surface of the large shell is +1q.
True: The total charge on the outer surface of the small shell is +1q, since the inner sphere has a charge of -1q and +1q will be induced on inner surface of the small shell.
The electric field in the region r < a is zero.
True: electric field inside the small sphere = 0 since Qnet here = (-1q+1q) =0