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A point charge is kept at the mid point between two large parallel grounded conducting plates. Assuming no gravity. The charge is displaced a little towards the right plate. The charge will now
- a)Move towards the left plate
- b)Move towards the right plate
- c)Stay where it is
- d)Oscillate between the plates
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A point charge is kept at the mid point between two large parallel gro...
When the charge is placed at the mid point, opposite charge will induced on both the plates equally. But when q is displaced toward the right, more charge of the opposite sign will get induced on the right plate than on the left plate. Hence the point charge will feel a net attraction towards the right plate.
The correct answer is: Move towards the right plate
Most Upvoted Answer
A point charge is kept at the mid point between two large parallel gro...
Explanation:
When a point charge is kept at the midpoint between two large parallel grounded conducting plates, it experiences an electric force due to the electric field created by the plates. If the charge is displaced slightly towards one of the plates, the electric field experienced by the charge becomes imbalanced, leading to a net force acting on the charge.
Electric Field and Force:
The electric field between two parallel plates is uniform and directed from the positive plate to the negative plate. When the charge is at the midpoint, it experiences equal and opposite forces due to the electric field from both plates, resulting in a net force of zero.
Displacement towards the Right Plate:
When the charge is displaced slightly towards the right plate, the electric field experienced by the charge becomes imbalanced. The electric field from the right plate becomes stronger compared to the left plate, resulting in a net force acting towards the right plate.
Net Force and Motion:
According to Newton's second law, the net force acting on an object causes it to accelerate. In this case, the net force towards the right plate causes the charge to accelerate in that direction. Therefore, the charge will move towards the right plate.
Stability:
Once the charge reaches the right plate, it will induce a negative charge on the surface of the plate due to electrostatic induction. This induced negative charge will repel the charge, creating a restoring force towards the midpoint. As a result, the charge will oscillate back and forth between the plates.
Conclusion:
In summary, when a point charge is displaced slightly towards one of the grounded conducting plates, it will move towards that plate due to an imbalanced electric field. However, once it reaches the plate, it will experience a restoring force and oscillate between the plates. Therefore, the correct answer is option 'B' - the charge will move towards the right plate.
When a point charge is kept at the midpoint between two large parallel grounded conducting plates, it experiences an electric force due to the electric field created by the plates. If the charge is displaced slightly towards one of the plates, the electric field experienced by the charge becomes imbalanced, leading to a net force acting on the charge.
Electric Field and Force:
The electric field between two parallel plates is uniform and directed from the positive plate to the negative plate. When the charge is at the midpoint, it experiences equal and opposite forces due to the electric field from both plates, resulting in a net force of zero.
Displacement towards the Right Plate:
When the charge is displaced slightly towards the right plate, the electric field experienced by the charge becomes imbalanced. The electric field from the right plate becomes stronger compared to the left plate, resulting in a net force acting towards the right plate.
Net Force and Motion:
According to Newton's second law, the net force acting on an object causes it to accelerate. In this case, the net force towards the right plate causes the charge to accelerate in that direction. Therefore, the charge will move towards the right plate.
Stability:
Once the charge reaches the right plate, it will induce a negative charge on the surface of the plate due to electrostatic induction. This induced negative charge will repel the charge, creating a restoring force towards the midpoint. As a result, the charge will oscillate back and forth between the plates.
Conclusion:
In summary, when a point charge is displaced slightly towards one of the grounded conducting plates, it will move towards that plate due to an imbalanced electric field. However, once it reaches the plate, it will experience a restoring force and oscillate between the plates. Therefore, the correct answer is option 'B' - the charge will move towards the right plate.
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A point charge is kept at the mid point between two large parallel grounded conducting plates. Assuming no gravity. The charge is displaced a little towards the right plate. The charge will nowa)Move towards the left plateb)Move towards the right platec)Stay where it isd)Oscillate between the platesCorrect answer is option 'B'. Can you explain this answer?
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