A uniform non conducting ring has mass m and radius R. Two point charges q and q' are fixed on its circumference at a separation of 
. The ring remains in equilibrium in air with its plane vertical in a region where exists a uniform vertically upward electric field E. Given 
. The angle θ in equilibrium position is 
. Find the value of x
Text Solution
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Suppose the ring is given a small clockwise rotation. This will cause the anticlockwise torque due to qE to increase whereas the clockwise torque due to 
will decrease. There will be a net restoring torque. Hence, there will be oscillations.
From geometry of the figure 
Translational equilibrium
Rotational equilibrium
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