Part C) What is the strength of the electric field at point 8 cm from the center

Question

Part C) What is the strength of the electric field at point 8 cm from the center

Part D) What is the direction of the electric field at point 8 cm from the center? (Outward, inward, or field is zero)

Part E) What is the strength of the electric fiel at point 12 cm from the center?

part F) What is the direction of the electric field at point 12 cm from the center?

A hollow metal sphere has 6 cm and 11 cm inner and outer radii, respectively. The surface charge density on the inside surface is -150nC/m. The surface charge density on the exterior surface is +150nC/m2 Part A What is the strength of the electric field at point 4 cm from the center? Express your answer to three significant figures and include the appropriate units ValueUnits Submit Request Answer Part B Outward Inward The field is zero Previous Answers rint A Correct

Explanation / Answer

Surface area for inner sphere = 4**(6*10-2)2

Charge on inner surface = 4**(6*10-2)2 * - 150 nC = - 4.52 nC

Q = 4.52 nC

Charge on outer surface =Q+q = 4**(11*10-2)2 * 150 nC = 15. 21 nC

a) Electric field at r = 4 cm

Taking a gaussian surface at r = 4 cm

E * 4**(4*10-2)2 = Q/o

=> E = 2.545*104 N/C = 25.40 kN/C

b) Electric field at r = 8 cm

inside the metal there will be no electric field ( being a conductor)

E = 0

c) Electric field at r = 12 cm

Taking a gaussian surface at r = 12 cm

E * 4**(12*10-2)2 = (Q+q)/o

=> E = 9.497 kN/C

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