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three charges q, Q and 4q are placed in a straight line of length L at points distant 0, L/2 and L respectively. Find the value of Q for which charges will remain stationary. Options q/root3, qRoot3, -q root3, -q/root3

three charges q, Q and 4q are placed in a straight line of length L at points distant 0, L/2 and L respectively. Find the value of Q for which charges will remain stationary. Options q/root3, qRoot3, -q root3, -q/root3

Grade:12

1 Answers

sree lakshmi
73 Points
4 years ago
for the charges to remain stationary the system should be in equilibrium 
in this question q and 4q are +ve and they repel each other so the system to be in equilibrium the Q should be -ve so that 
-Q attract q and 4q 
if we consider q at (0,0) force on it are repulsion by 4q and attraction by -Q  these two forces should be equal for q to remain stationary 
   ie     = 
 \Rightarrow 4Q/L2  = 4q/L2  
 \RightarrowQ = q       ie Q = -ve q

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