A) If a negative point charge were placed on the x-axis at the location x = 8m a

Question

A) If a negative point charge were placed on the x-axis at the location x = 8m and released from rest, would it move away for the origin, move toward the origin, or remain at rest?

C) Find the potential difference Va - Vb between the surface of the metal sphere (r = a) and the outer surface of the metal shell (r = c)

D) What is the total charge Qinner on the inner surface of the spherical shell?

E) If the outer surface of the metal shell were connected to ground, the total charge Qinner on the inner surface would it increase, remain the same, or drop to zero?

Explanation / Answer

Charge induced inside the sherical shell is = 5 uC

So, Charge on outer surface = 2 - 5 = -3 uC

A)

As the charge on outersurface is negative it moves away from origin due to repulsive force

B)

E = k*q / r^2 = 9*10^9*(-3)*10^-6 / 8^2 = -421.875 N/C

C)

Va = 0

Vb = kq/c

Va - Vb = -kq/c

D)

Qinner = +5uC

E)

Drop to zero

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