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What is the ratio of the charges of two conducting spheres of radii r1 and r2 which have equal surface charge density?

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Question

What is the ratio of the charges of two conducting spheres of radii r1 and r2 which have equal surface charge density?

Options

  • `"r"_1^2/"r"_2^2`

  • `"r"_2^2/"r"_1^2`

  • `"r"_1/"r"_2`

  • `"r"_2/"r"_1`

MCQ
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Solution

`"r"_1^2/"r"_2^2`

Explanation:

` "Here,"  sigma_1 = sigma_2`

`therefore  "q"_1/(4pi_1^2) = "q"_2/(4pi"r"_2^2) Rightarrow "q"_1/"q"_2 = "r"_1^2/"r"_2^2`

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Electrical Energy of Two Point Charges and of a Dipole in an Electrostatic Field
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