A 2.20nC point charge is placed at the centre of a hollow metal sphere that has

Question

A 2.20nC point charge is placed at the centre of a hollow metal sphere that has an inner radius 3.00cm and an outer radius 23.0cm . The metal sphere itself is charged to 4.40nC .

Part A:
What is the magnitude of the electric field at a distance of 1.50cm from the centre?

Part B:

What is the magnitude of the electric field at a distance of 13.0cm from the centre?

Part C:

What is the magnitude of the electric field at a distance 26.0cm from the centre?

Part D:
How much charge is on the inside surface of the hollow sphere?

Part E:
How much charge is on the outside surface of the hollow sphere?

Explanation / Answer

A) at r = 1.5 cm

E = k*Qin/r^2

= 9*10^9*2.2*10^-9/0.015^2

= 88000 N/c

B) E = 0 (inside a metal E is zero)

C) at r = 1.5 cm

E = k*Qin/r^2

= 9*10^9*(2.2+4.4)*10^-9/0.26^2

= 878.7 N/c

D) Q_inner = 2.2 nc

E)Q_outer = 2.2 nc

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