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Four point charges each 20 microcoulomb are on the x and y axes at +- 4m find the forces on a 100 micro coulomb point charge at (0,0,3)m?
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Four point charges each 20 microcoulomb are on the x and y axes at +- ...
Hey Diya find distance of that point from the four charges and use formula of force due to a point charge ok if u don't understand tell me ok
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Four point charges each 20 microcoulomb are on the x and y axes at +- ...
Calculating Forces on Point Charge


Given Parameters:


  • Four point charges each of 20 microcoulomb are present on the x and y axes at -4m.

  • A point charge of 100 microcoulomb is at (0,0,3)m.



Calculating the Forces:


  • First, we need to calculate the electric field generated by each point charge at the position of the 100 microcoulomb point charge.

  • Next, we can use the formula F = qE to calculate the force on the 100 microcoulomb point charge due to each point charge.

  • Finally, we can add up all the forces to get the net force on the point charge.



Calculating the Electric Field:


  • The electric field generated by a point charge is given by the formula E = kq/r^2, where k is the Coulomb constant, q is the charge, and r is the distance between the point charge and the location where the electric field is being calculated.

  • Using this formula, we can calculate the electric field generated by each of the four point charges at the position of the 100 microcoulomb point charge.

  • For example, the electric field generated by the point charge at (-4,0,0) is E = (9 x 10^9 Nm^2/C^2) x (20 x 10^-6 C) / (4^2 + 3^2)^(3/2) = 0.79 N/C.



Calculating the Force:


  • Once we have the electric field at the position of the 100 microcoulomb point charge, we can use the formula F = qE to calculate the force on the point charge due to each point charge.

  • For example, the force on the 100 microcoulomb point charge due to the point charge at (-4,0,0) is F = (100 x 10^-6 C) x (0.79 N/C) = 7.9 x 10^-5 N.

  • We can repeat this calculation for each of the four point charges and add up the forces to get the net force on the 100 microcoulomb point charge.



Conclusion:


  • The net force on the 100 microcoulomb point charge can be calculated by adding up the forces due to each of the four point charges.

  • By calculating the electric field generated by each point charge at the position of the 100 microcoulomb point charge and using the formula F = qE, we can calculate the force on the point charge due to each point charge.

  • Finally, we can add up all the forces to get the net force on the point charge.
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Four point charges each 20 microcoulomb are on the x and y axes at +- 4m find the forces on a 100 micro coulomb point charge at (0,0,3)m?
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Four point charges each 20 microcoulomb are on the x and y axes at +- 4m find the forces on a 100 micro coulomb 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 charges each 20 microcoulomb are on the x and y axes at +- 4m find the forces on a 100 micro coulomb 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 charges each 20 microcoulomb are on the x and y axes at +- 4m find the forces on a 100 micro coulomb point charge at (0,0,3)m?.
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