A point charge q1 = -6.2 C is located at the center of a thick conducting spheri

Question

A point charge q1 = -6.2 C is located at the center of a thick conducting spherical shell of inner radius a = 2.8 cm and outer radius b = 4.3 cm, The conducting spherical shell has a net charge of q2 = 1.5 C.

1) For how many values of x: (4.3 cm < x < infinity) is it true that Ex = 0?

2) Define E2 to be equal to the magnitude of the electic field at r = 1.4 cm when the charge on the outer shell (q2) is equal to 1.5 C. Define Eo to be equal to the magnitude of the electric field at r = 1.4 cm if the charge on the outer shell (q2) were changed to 0. Compare E2 and Eo.

Explanation / Answer

A. none,

While E will get really small as we approach infinity, outside of the conducting shell the field never truly goes to zero.

B. E2 = Eo

Since the E field only depends on the charge enclosed then changing the amount of charge past our Gaussian sphere has no effect.

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