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30. Gauss’s Law
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Q3 of 46 Page 139

A charge Q is uniformly distributed on a thin spherical shell. What is the field at the centre of the shell? If a point charge is brought close to the shell, will the field at the centre change? Do your answer depend on whether the shell is conducting or nonconducting?

If we consider a thin spherical shell, then all its charge is concentrated in the centre. According to Gauss’ law, the flux through a closed surface is time the charge enclosed.


flux through the closed surface, ,


where


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1

A small plane area is rotated in an electric field. In which orientation of the area is the flux of the electric field through the area maximum? In which orientation is it zero?

2

A circular ring of radius r made of a non-conducting material is placed with its axis parallel to a uniform electric field. The ring is rotated about a diameter through 180°. Does the flux of electric field change? If yes, does it decrease or increase?

4

A spherical shell made of plastic, contains a charge Q distributed uniformly over its surface. What is the electric field inside the shell? If the shell is hammered to de-shape it without altering the charge, will the field inside be changed? What happens if the shell is made of a metal?

5

A point charge q is placed in a cavity in a metal block. If a charge Q is brought outside the metal, will the charge q feel an electric force?

Questions · 46
30. Gauss’s Law
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