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Midway between two equal and similar charges, a third equal and similar charge is placed. Then this third charge will ________.
- a)Remain in stable equilibrium
- b)Be in unstable equilibrium
- c)Not be in equilibrium
- d)Will move out of the field to influence the two charges
Correct answer is option 'A'. Can you explain this answer?
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Midway between two equal and similar charges, a third equal and simila...
Midway between two equal and similar charges, a third equal and similar charge is placed. As the charge is placed midway between two similar charges, the force acts on the third charge due to two charges will be same. Hence third charge will remain in stable equilibrium.
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Midway between two equal and similar charges, a third equal and simila...
Explanation:
When a charge is placed midway between two equal and similar charges, the three charges form an equilateral triangle. Let's assume the two charges are denoted as A and B, and the third charge is denoted as C.
1. Electrostatic Forces:
- The charges A and B exert electrostatic forces on charge C.
- The electrostatic force between like charges is repulsive, and the force between opposite charges is attractive.
2. Equilibrium Conditions:
- For charge C to be in stable equilibrium, it should experience equal and opposite forces from charges A and B.
- In this case, if charge C is displaced slightly from the midpoint, the forces from A and B will be equal and opposite, pulling charge C back towards the midpoint.
- This ensures that charge C remains in a stable equilibrium position.
3. Equilateral Triangle:
- When three charges are placed in an equilateral triangle, the forces between them balance out, resulting in a stable equilibrium.
- The charges form a system with rotational symmetry, where any small displacement of charge C will result in equal and opposite forces from charges A and B, pulling it back to the stable equilibrium position.
4. Conclusion:
- When a third equal and similar charge is placed midway between two equal and similar charges, it will remain in stable equilibrium.
- Charge C will not move out of the field to influence the two charges because the forces between them are balanced and any small displacement will result in a restoring force.
Therefore, the correct answer is option 'A': Charge C will remain in stable equilibrium.
When a charge is placed midway between two equal and similar charges, the three charges form an equilateral triangle. Let's assume the two charges are denoted as A and B, and the third charge is denoted as C.
1. Electrostatic Forces:
- The charges A and B exert electrostatic forces on charge C.
- The electrostatic force between like charges is repulsive, and the force between opposite charges is attractive.
2. Equilibrium Conditions:
- For charge C to be in stable equilibrium, it should experience equal and opposite forces from charges A and B.
- In this case, if charge C is displaced slightly from the midpoint, the forces from A and B will be equal and opposite, pulling charge C back towards the midpoint.
- This ensures that charge C remains in a stable equilibrium position.
3. Equilateral Triangle:
- When three charges are placed in an equilateral triangle, the forces between them balance out, resulting in a stable equilibrium.
- The charges form a system with rotational symmetry, where any small displacement of charge C will result in equal and opposite forces from charges A and B, pulling it back to the stable equilibrium position.
4. Conclusion:
- When a third equal and similar charge is placed midway between two equal and similar charges, it will remain in stable equilibrium.
- Charge C will not move out of the field to influence the two charges because the forces between them are balanced and any small displacement will result in a restoring force.
Therefore, the correct answer is option 'A': Charge C will remain in stable equilibrium.
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Midway between two equal and similar charges, a third equal and similar charge is placed. Then this third charge will ________.a)Remain in stable equilibriumb)Be in unstable equilibriumc)Not be in equilibriumd)Will move out of the field to influence the two chargesCorrect answer is option 'A'. Can you explain this answer?
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