A charge Q1 of 3.0 μC is placed at point (36 cm, 0) and another charge Q2 of 9.0 μC is placed at a point (0, -27 cm).

Let i and j be the unit vectors in x- and y- directions, respectively. The force exerted by Q2 on Q1 is:

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  1. -(0.96 N) i - (0.72 N) j
  2. -(0.96 N) i + (0.72 N) j
  3. (0.96 N) i - (0.72 N) j
  4. (0.96 N) i + (0.72 N) j

Answer (Detailed Solution Below)

Option 4 : (0.96 N) i + (0.72 N) j
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Detailed Solution

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Concept:

Coulomb's Law:

  • According to Coulomb’s law, the force of attraction or repulsion between two charged bodies is directly proportional to the product of their charges
  • And inversely proportional to the square of the distance between them.
  • It acts along the line joining the two charges considered to be point charges.

Coulomb's Formula

F = 

F = 

In vector form, ,

where ϵ0 = permittivity in the air, 

r = magnitude of the distance between two charge


 

Explanation:

Given,

The charge at point (36cm, 0), q1 = 3.0 μC

The charge at point (0,-27 cm), q2 = 9.0 μC

The position vector, 

The magnitude of the position vector, 

From Coulomb's law, 

F = (0.96 N) i + (0.72 N) j

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