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KCET · Physics · Electrostatics

You are given a dipole of charge \(+q\) and \(-q\) separated by a distance 2R. A sphere 'A' of radius ' \(R\) ' passes through the centre of the dipole as shown below and another sphere ' \(B\) ' of radius ' \(2 R\) ' passes through the charge +q . Then the electric flux through the sphere \(A\) is

  1. A \(q / \varepsilon_0\)
  2. B Zero
  3. C \(2 q / \varepsilon_0\)
  4. D \(-q / \varepsilon_0\)
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Answer & Solution

Correct Answer

(D) \(-q / \varepsilon_0\)

Step-by-step Solution

Detailed explanation

\(\begin{aligned} & \phi_{\text {sphere }} \mathrm{A}=\frac{\text { charge enclosed }}{\varepsilon_0} \text { (By gauss law) } \\ & =\frac{-\mathrm{q}}{\varepsilon_0}\end{aligned}\)
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