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Two Charges of Magnitudes +4q and − Q Are Located at Points (A, 0) and (− 3a, 0) Respectively. What is the Electric Flux Due to These Charges Through a Sphere of Radius ‘2a’ with Its Centre

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Question

Two charges of magnitudes +4Q and − Q are located at points (a, 0) and (− 3a, 0) respectively. What is the electric flux due to these charges through a sphere of radius ‘2a’ with its centre at the origin?

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Solution

Gauss’ theorem states that the electric flux through a closed surface enclosing a charge is equal to `1/epsi_0`times the magnitude of the charge enclosed.

The sphere enclose charge = +4Q.

Thus,`phi = (4Q)/epsi_0`

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2012-2013 (March) All India Set 3

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