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Electromagnetic theory miscellaneous

Electromagnetic Theory

  1. The electric field strength at a distance point P due to a point charge +q located on the origins is 100 µ V/m if the point charge is now enclosed by a perfectly conducting metal sheet sphere whose centre is at origin then the electric field strength at the point P outside the sphere becomes—
    1. Zero
    2. 100 µ V/m
    3. – 100 µ V/m
    4. 50 µ V/m
Correct Option: B

Charge +q induces negative charge inside the sphere and positive charge on the outside of sphere. If the sphere is enclosed by a Gaussian sphere the field strength E will be given by Gauss's law

E =
1
Q
4πε0R2

where R is radius of sphere and Q is total charge. This is same although the charge is present at the origin of sphere. Therefore + 100 µ V/m.



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