JEE Main20199 Jan 2019Morning ShiftPhysicsElectrostaticsActual
Three charges + Q , q , + Q are placed respectively, at distance, 0 , d / 2 and d from the origin, on the x -axis. If the net force experienced by + Q , placed at x = 0 , is zero, then value of q is:
Options
- A+ Q / 2
- B+ Q / 4
- C- Q / 4
- D- Q / 2
Correct answer
C. - Q / 4
Step-by-step solution
For net force on charge placed at origin is given as ⇒     K Q . q   d 2 2 + K Q 2 d 2 = 0 , where K is a constant. Solving the above equation, we get, q = - Q 4 Hence, the charge q = - Q 4 such that net force on the charge + Q placed at origin is zero.