A charge q is placed at the centre of the line joining two equal point charges each equal to Q . The system of three charges will be in equilibrium if q is equal to

Question

A charge q is placed at the centre of the line joining two equal point charges each equal to Q . The system of three charges will be in equilibrium if q is equal to, + Q ⁡ 4, - Q ⁡ 2, + Q ⁡ 2, - Q ⁡ 4

MARKS App · Accepted Answer

For equilibrium of system of charges, force produced between q and Q + force produced between Q and Q = 0 1 4 π ε 0 q ⁡ Q ⁡ r ⁡ / 2 2 + 1 4 π ε 0 Q ⁡ Q ⁡ r ⁡ 2 = 0 ⇒ 4 q ⁡ Q ⁡ r ⁡ 2 + Q ⁡ Q ⁡ r ⁡ / 2 2 = 0 ⇒ q ⁡ = - Q ⁡ 4

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