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Four point charge each 20micro coloumb are on the axis at 4m. find the force on a 200 micro coloumb point charge at (0,0,3) m?
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Four point charge each 20micro coloumb are on the axis at 4m. find the...
Problem Statement
Four point charges, each 20 micro coulombs, are placed on the axis at a distance of 4 meters from the origin. Find the force on a 200 micro coulomb point charge located at (0,0,3) meters.
Calculating the Force
- Calculate the distance between the point charge and the four charges on the axis using the distance formula:
d = sqrt((x1-x2)^2 + (y1-y2)^2 + (z1-z2)^2)
where x1 = y1 = z1 = 0 (coordinates of point charge) and x2 = 4, y2 = z2 = 0 (coordinates of charges on axis) - Calculate the electric force between the point charge and each of the four charges on the axis using Coulomb's Law:
F = k*q1*q2/d^2
where k is Coulomb's constant (9 x 10^9 Nm^2/C^2), q1 and q2 are the magnitudes of the charges, and d is the distance calculated in step 1. - Add up the forces calculated in step 2 to get the net force on the point charge.
Final Answer
The net force on the point charge is the vector sum of the forces calculated in step 2. The direction of the force will depend on the sign of the charges. If the charges on the axis are all positive, the force on the point charge will be repulsive. If the charges on the axis are all negative, the force on the point charge will be attractive. If the charges on the axis have a mixture of positive and negative values, the direction of the force will depend on the relative distances of the charges from the point charge.
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Four point charge each 20micro coloumb are on the axis at 4m. find the force on a 200 micro coloumb point charge at (0,0,3) m?
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Four point charge each 20micro coloumb are on the axis at 4m. find the force on a 200 micro coloumb point charge at (0,0,3) m? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Four point charge each 20micro coloumb are on the axis at 4m. find the force on a 200 micro coloumb point charge at (0,0,3) m? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four point charge each 20micro coloumb are on the axis at 4m. find the force on a 200 micro coloumb point charge at (0,0,3) m?.
Four point charge each 20micro coloumb are on the axis at 4m. find the force on a 200 micro coloumb point charge at (0,0,3) m? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Four point charge each 20micro coloumb are on the axis at 4m. find the force on a 200 micro coloumb point charge at (0,0,3) m? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four point charge each 20micro coloumb are on the axis at 4m. find the force on a 200 micro coloumb point charge at (0,0,3) m?.
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