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-3q and q charge are kept in an axis.The charges are free to move. At one point, however, a third charged particle can be placed such that all three particles are in equilibrium (a) Is that point to the left of the first two particles, to their right, or between them? (b) Should the third particle be positively or negatively charged? (c) Is the equilibrium stable or unstable?
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-3q and q charge are kept in an axis.The charges are free to move. At...
Introduction:
In this problem, we are given two charges -3q and q kept on an axis. We have to find a point between them where a third charged particle can be placed such that all three particles are in equilibrium.
Solution:
(a) Position of the third particle: The third particle should be placed between the first two particles.
(b) Polarity of the third particle: The third particle should have a positive charge.
(c) Stability of the equilibrium: The equilibrium will be unstable.
Explanation:
To understand why the above answers are correct, let's first understand what is meant by equilibrium and stable equilibrium.
Equilibrium: When the net force acting on an object is zero, the object is said to be in equilibrium.
Stable equilibrium: When a particle is displaced from its equilibrium position, it experiences a net force that tends to restore it to its original position. Such an equilibrium is called a stable equilibrium.
Now, let's consider the given problem. The third particle should be placed between the first two particles because the charges are of opposite sign and opposite charges attract each other. So, the third particle will experience equal and opposite forces from the first two particles and will be in equilibrium.
However, the equilibrium will be unstable because if the third particle is displaced from its position, the net force on it will not be zero. Instead, it will experience a net force that will move it further away from its original position.
The third particle should have a positive charge because the charges are arranged in such a way that the first two particles have opposite charges. So, to maintain equilibrium, the third particle should have the same sign as the charge of the particle it is closer to.
Conclusion:
Thus, the third particle should be placed between the first two particles, it should have a positive charge, and the equilibrium will be unstable.
In this problem, we are given two charges -3q and q kept on an axis. We have to find a point between them where a third charged particle can be placed such that all three particles are in equilibrium.
Solution:
(a) Position of the third particle: The third particle should be placed between the first two particles.
(b) Polarity of the third particle: The third particle should have a positive charge.
(c) Stability of the equilibrium: The equilibrium will be unstable.
Explanation:
To understand why the above answers are correct, let's first understand what is meant by equilibrium and stable equilibrium.
Equilibrium: When the net force acting on an object is zero, the object is said to be in equilibrium.
Stable equilibrium: When a particle is displaced from its equilibrium position, it experiences a net force that tends to restore it to its original position. Such an equilibrium is called a stable equilibrium.
Now, let's consider the given problem. The third particle should be placed between the first two particles because the charges are of opposite sign and opposite charges attract each other. So, the third particle will experience equal and opposite forces from the first two particles and will be in equilibrium.
However, the equilibrium will be unstable because if the third particle is displaced from its position, the net force on it will not be zero. Instead, it will experience a net force that will move it further away from its original position.
The third particle should have a positive charge because the charges are arranged in such a way that the first two particles have opposite charges. So, to maintain equilibrium, the third particle should have the same sign as the charge of the particle it is closer to.
Conclusion:
Thus, the third particle should be placed between the first two particles, it should have a positive charge, and the equilibrium will be unstable.
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-3q and q charge are kept in an axis.The charges are free to move. At one point, however, a third charged particle can be placed such that all three particles are in equilibrium (a) Is that point to the left of the first two particles, to their right, or between them? (b) Should the third particle be positively or negatively charged? (c) Is the equilibrium stable or unstable?
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-3q and q charge are kept in an axis.The charges are free to move. At one point, however, a third charged particle can be placed such that all three particles are in equilibrium (a) Is that point to the left of the first two particles, to their right, or between them? (b) Should the third particle be positively or negatively charged? (c) Is the equilibrium stable or unstable? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about -3q and q charge are kept in an axis.The charges are free to move. At one point, however, a third charged particle can be placed such that all three particles are in equilibrium (a) Is that point to the left of the first two particles, to their right, or between them? (b) Should the third particle be positively or negatively charged? (c) Is the equilibrium stable or unstable? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for -3q and q charge are kept in an axis.The charges are free to move. At one point, however, a third charged particle can be placed such that all three particles are in equilibrium (a) Is that point to the left of the first two particles, to their right, or between them? (b) Should the third particle be positively or negatively charged? (c) Is the equilibrium stable or unstable?.
-3q and q charge are kept in an axis.The charges are free to move. At one point, however, a third charged particle can be placed such that all three particles are in equilibrium (a) Is that point to the left of the first two particles, to their right, or between them? (b) Should the third particle be positively or negatively charged? (c) Is the equilibrium stable or unstable? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about -3q and q charge are kept in an axis.The charges are free to move. At one point, however, a third charged particle can be placed such that all three particles are in equilibrium (a) Is that point to the left of the first two particles, to their right, or between them? (b) Should the third particle be positively or negatively charged? (c) Is the equilibrium stable or unstable? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for -3q and q charge are kept in an axis.The charges are free to move. At one point, however, a third charged particle can be placed such that all three particles are in equilibrium (a) Is that point to the left of the first two particles, to their right, or between them? (b) Should the third particle be positively or negatively charged? (c) Is the equilibrium stable or unstable?.
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