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JEE Mains · Physics · STD 12 - 2. Electric potential and capacitance

Two point charges of 1 nC and 2 nC are placed at the two corners of equilateral triangle of side 3 cm. The work done in bringing a charge of 3 nC from infinity to the third corner of the triangle is ________ \(\mu\)J.
(\(\frac{1}{4\pi\epsilon_{0}} = 9 \times 10^{9}\ N.m^{2}/C^{2}\))

  1. A 2.7
  2. B 5.4
  3. C 3.3
  4. D 27
Verified Solution

Answer & Solution

Correct Answer

(A) 2.7

Step-by-step Solution

Detailed explanation

\(W = (\frac{kq_{1}}{\ell} + \frac{kq_{2}}{\ell}) q_{3}\) \(=\frac{9 \times 10^9}{3 \times 10^{-2}}\left(3 \times 10^{-9}\right) \times 3 \times 10^{-9}\) \(= 27 \times 10^{-7} J = 2.7 \mu J\)
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