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JEE Advanced2008PhysicsElectrostaticsActual

Consider a system of three charges q 3 , q 3 and - 2 q 3 placed at points A, B and C , respectively, as shown in the figure. Take O to be the centre of the circle of radius R and angle C A B=60^ .

Options

  1. AThe electric field at point O is q 8 ₀ R^2 directed along the negative x -axis
  2. BThe potential energy of the system is zero
  3. CThe magnitude of the force between the charges at C and B is q^2 54 ₀ R^2
  4. DThe potential at point O is q 12 ₀ R

Correct answer

C. The magnitude of the force between the charges at C and B is q^2 54 ₀ R^2

Step-by-step solution

Distance B C=A B 60^ =(2 R) 3 2 = 3 R |F_ B C |= 1 4 ₀ (q / 3)(2 q / 3) ( 3 R)^2 = q^2 54 ₀ R^2 correct option is (c).

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