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Find the magnitude force on a point charge of 2 coulomb at the centre of a square of side a if 3 identical point charges of qulum are located at the corners?
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Find the magnitude force on a point charge of 2 coulomb at the centre ...
Calculation of Force on Point Charge at the Centre of Square
F(total) = 3 x (9 x 10^9 Nm^2/C^2) x (2C) x (qC) / a^2
Explanation of the Solution
- Given: Point charge Q = 2C is placed at the centre of a square of side a. Three identical point charges q are located at the corners of the square.
- Formula: The force between two point charges is given by Coulomb's law F = (kQq)/r^2, where k is the Coulomb's constant, Q and q are the magnitudes of the charges, and r is the distance between them.
- Calculation:
- Let's consider one of the corner charges and the charge at the centre of the square.
- The distance between them is a/2, as it is the diagonal of the square of side a.
- Substituting the values in Coulomb's law, the force between them is F = (kQq)/(a/2)^2 = 4kQq/a^2
- As there are three corner charges, the total force on the charge at the centre is F(total) = 3F = 12kQq/a^2
- Substituting the values of k (9 x 10^9 Nm^2/C^2), Q (2C), q (qC), and a (the length of the side of the square), we get:
F(total) = 3 x (9 x 10^9 Nm^2/C^2) x (2C) x (qC) / a^2
Explanation of the Solution
- The force between two point charges is proportional to the product of their magnitudes and inversely proportional to the square of the distance between them.
- As there are three identical corner charges, we need to consider the force between the charge at the centre and each corner charge.
- Finally, we need to add up the forces to get the total force on the charge at the centre.
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Find the magnitude force on a point charge of 2 coulomb at the centre of a square of side a if 3 identical point charges of qulum are located at the corners?
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Find the magnitude force on a point charge of 2 coulomb at the centre of a square of side a if 3 identical point charges of qulum are located at the corners? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Find the magnitude force on a point charge of 2 coulomb at the centre of a square of side a if 3 identical point charges of qulum are located at the corners? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the magnitude force on a point charge of 2 coulomb at the centre of a square of side a if 3 identical point charges of qulum are located at the corners?.
Find the magnitude force on a point charge of 2 coulomb at the centre of a square of side a if 3 identical point charges of qulum are located at the corners? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Find the magnitude force on a point charge of 2 coulomb at the centre of a square of side a if 3 identical point charges of qulum are located at the corners? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the magnitude force on a point charge of 2 coulomb at the centre of a square of side a if 3 identical point charges of qulum are located at the corners?.
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