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Which of the following graphs shows the variation of electric field E due to a hollow spherical conductor of radius R as a function of distance from the centre of the sphere? -

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Question

Which of the following graphs shows the variation of electric field E due to a hollow spherical conductor of radius R as a function of distance from the centre of the sphere?

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MCQ

Solution

Explanation:

Electric field due to a hollow spherical conductor is governed by equations E = 0, for r < R   …(i)

and E = `"Q"/(4piepsilon_0"r"^2)` for r ≥ R ….(ii)

i.e. inside the conductor, electric field will be zero and outside the conductor it will vary according to E oc `1/"r"^2`.

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