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Question
Consider two identical charges placed at a distance 2d apart, along x-axis. The equilibrium of a positive test charge placed at the point O midway between them is:
Consider two identical charges placed at a distance 2d apart, along x-axis. The equilibrium of a positive test charge placed at the point O midway between them is:
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Solution
The correct options are
B stable for displacement along x-axis
D unstable for displacement along y-axis
If we displace the test charge slightly along y axis a CD component of electric force will lead to move away and there will not be restoring force to recover so it will be unstable equilibrium. But if we displace it along x axis as shown the force towards equilibrium position will dominent. So it will be stable equilibrium
B stable for displacement along x-axis
D unstable for displacement along y-axis
If we displace the test charge slightly along y axis a CD component of electric force will lead to move away and there will not be restoring force to recover so it will be unstable equilibrium. But if we displace it along x axis as shown the force towards equilibrium position will dominent. So it will be stable equilibrium
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