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TS EAMCET · Physics · Electrostatics

Electric charges \(+q\) and \(-q\) are placed at points \(A\) and \(B\) respectively which are at a distance of \(2 L\) apart. If \(C\) is the midpoint between \(A\) and \(B\), then the work done in moving a charge \(+Q\) along the semi-circle \(C R D\) is

  1. A \(\frac{q Q}{2 \pi \varepsilon_0 L}\)
  2. B \(\frac{q Q}{6 \pi \varepsilon_0 L}\)
  3. C \(-\frac{q Q}{6 \pi \varepsilon_0 L}\)
  4. D \(\frac{q Q}{4 \pi \varepsilon_0 L}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(-\frac{q Q}{6 \pi \varepsilon_0 L}\)

Step-by-step Solution

Detailed explanation

The given situation is shown in the following figure. Work done in moving a charge \(Q\) along semi-circle is equal to change in potential energy. i.e.…
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