What is the E field at 13.3 cm from the center of the insulating sphere?

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(Insulator
Metallic Shell
An insulating sphere of radius 2 cm and charge -3 uC is surrounded by a spherical
metallic shell of inner radius 5 cm and outer radius 8 cm. The outer shell has a net
charge of -4 uC. The insulating sphere has a uniform volume charge density.
What is the E field at 13.3 cm from the center of the insulating sphere?
Transcribed Image Text:(Insulator Metallic Shell An insulating sphere of radius 2 cm and charge -3 uC is surrounded by a spherical metallic shell of inner radius 5 cm and outer radius 8 cm. The outer shell has a net charge of -4 uC. The insulating sphere has a uniform volume charge density. What is the E field at 13.3 cm from the center of the insulating sphere?
Expert Solution
Step 1

The point r = 13.3 cm will lie outside the metallic shell

Electric field can be calculated by Gauss law by making a gaussian sphere of radius r = 13.3 cm

according to Gauss law

Eds = Qenclosedεo

where ds is surface element. Qenclosed = net charge enclosed by sphere

E ds = QenclosedεoE.4πr2 =Qenclosedεo

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