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Consider the charges q, q, and -q placed at the vertices of an equilateral triangle separated by distance of l from each other. What is the force on each charge?
Most Upvoted Answer
Consider the charges q, q, and -q placed at the vertices of an equilat...
Introduction:
In this scenario, we have three charges placed at the vertices of an equilateral triangle. Two charges have the same magnitude q, while the third charge has a magnitude of -q. The charges are separated by a distance l from each other. We need to determine the force on each charge.

Explanation:
To find the force on each charge, we can use Coulomb's Law, which states that the force between two charges is directly proportional to the product of their magnitudes and inversely proportional to the square of the distance between them.

Force on Charge 1 (q1):
- The charge q1 experiences a repulsive force from q2 and an attractive force from q3.
- The magnitude of the force between q1 and q2 is given by Coulomb's Law: F12 = k * (q1 * q2) / r^2, where k is the electrostatic constant and r is the distance between q1 and q2.
- Since q1 and q2 have the same magnitude, the force between them is repulsive.
- Similarly, the magnitude of the force between q1 and q3 is given by Coulomb's Law: F13 = k * (q1 * q3) / r^2.
- Since q1 and q3 have opposite magnitudes, the force between them is attractive.
- Therefore, the net force on q1 is the vector sum of F12 and F13.

Force on Charge 2 (q2):
- The charge q2 experiences a repulsive force from q1 and an attractive force from q3.
- The magnitude of the force between q2 and q1 (F21) is equal to the magnitude of the force between q1 and q2 (F12) due to Newton's third law of motion.
- Similarly, the magnitude of the force between q2 and q3 is given by Coulomb's Law: F23 = k * (q2 * q3) / r^2.
- Therefore, the net force on q2 is the vector sum of F21 and F23.

Force on Charge 3 (q3):
- The charge q3 experiences an attractive force from q1 and q2.
- The magnitude of the force between q3 and q1 (F31) is equal to the magnitude of the force between q1 and q3 (F13) due to Newton's third law of motion.
- Similarly, the magnitude of the force between q3 and q2 (F32) is equal to the magnitude of the force between q2 and q3 (F23) due to Newton's third law of motion.
- Therefore, the net force on q3 is the vector sum of F31 and F32.

Conclusion:
In conclusion, the force on each charge in the equilateral triangle configuration can be calculated using Coulomb's Law and considering the repulsive and attractive forces between the charges. The net force on each charge is the vector sum of the individual forces.
Community Answer
Consider the charges q, q, and -q placed at the vertices of an equilat...
√3kq^2/i^2 for each charge and net force is zero
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Consider the charges q, q, and -q placed at the vertices of an equilateral triangle separated by distance of l from each other. What is the force on each charge?
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Consider the charges q, q, and -q placed at the vertices of an equilateral triangle separated by distance of l from each other. What is the force on each charge? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Consider the charges q, q, and -q placed at the vertices of an equilateral triangle separated by distance of l from each other. What is the force on each charge? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the charges q, q, and -q placed at the vertices of an equilateral triangle separated by distance of l from each other. What is the force on each charge?.
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