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

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Question

Two charges of magnitudes −2Q and +Q are located at points (a, 0) and (4a, 0) respectively. What is the electric flux due to these charges through a sphere of radius ‘3a’ 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/ε0) times the magnitude of the charge enclosed.

The sphere encloses a charge of -2Q thus, `phi 2Q/epsilon_0`

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2012-2013 (March) All India Set 1

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