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7. A metal sphere with a hollow center has a charge of -2q, initially all on the outer surface. An
additional charge of +q is placed in the hollow center of the sphere. The charge on the outer
surface of the sphere becomes: (Draw electric lines of field clearly.)
Solution
If a charge Q hollow is given in cavity of conductor than it will induce - Q hollow on inner wall of
cavity and Q hollow on outer surface of cavity
So
+q will be added to outer surface of conductor
HEnce net charge onouter surface of metal sphere
Q= -2q+q = -q
Electric field will be radially outward in cavity But radially inward outside the sphere .
in the vicinity of sphere No field will be present

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7- A metal sphere with a hollow center has a charge of -2q- initially.docx

  • 1. 7. A metal sphere with a hollow center has a charge of -2q, initially all on the outer surface. An additional charge of +q is placed in the hollow center of the sphere. The charge on the outer surface of the sphere becomes: (Draw electric lines of field clearly.) Solution If a charge Q hollow is given in cavity of conductor than it will induce - Q hollow on inner wall of cavity and Q hollow on outer surface of cavity So +q will be added to outer surface of conductor HEnce net charge onouter surface of metal sphere Q= -2q+q = -q Electric field will be radially outward in cavity But radially inward outside the sphere . in the vicinity of sphere No field will be present