Q.

An infinite, uniformly charged sheet with surface charge density σ cuts through a spherical Gaussian surface of radius R at a distance x from its center, as shown in the figure. The electric flux Φ through the Gaussian surface is R2x2σε0. The value of 'k' is

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Detailed Solution

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ϕ=qinE0=σAϵ0=σπR2x2E0k=1

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An infinite, uniformly charged sheet with surface charge density σ cuts through a spherical Gaussian surface of radius R at a distance x from its center, as shown in the figure. The electric flux Φ through the Gaussian surface is kπR2−x2σε0. The value of 'k' is