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Three point charges q , - 2 q and 2 q are placed on x axis at a distance x = 0 , x = 3 4 R and x = R respectively from origin as shown. If q = 2 × 10 - 6 C and R = 2 cm , the magnitude of net force experienced by the charge - 2 q is _____ N .

Correct answer

0

Step-by-step solution

The net force on the given charge will be the resultant of the forces due to the other two charges. Hence, the net force F n can be calculated as follows: F n =   1 4 π ε 0 4 q 2 R 4 2 - 1 4 π ε 0 2 q 2 3 R 4 2 = 9 × 10 9 × 16 q 2 R 2 4 - 2 9 = 9 × 10 9 × 16 × 2 × 10 - 6   C 2 0 . 02   m 2 × 34 9 = 5440   N

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