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Ten positively charged particles are kept fixed on the X-axis at points x 1m, 2m 3m.10m the first particle has a charge 1C the second 8C the third 27C and so on the tenth particle has a charge 1000C find the magnitude of the electric force acting on a 1C charge placed at the origin.?
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Ten positively charged particles are kept fixed on the X-axis at point...
Calculating Electric Force on a Charge at the Origin


Step 1: Calculate the Electric Field


  • Calculate the electric field at the origin due to each particle using Coulomb's Law: E = kq/r^2

  • Sum up the electric fields due to all particles since they are fixed and their electric fields add up at the origin

  • Electric field due to the first particle at the origin: E1 = (9 x 10^9 Nm^2/C^2)(1C)/(1m)^2 = 9 x 10^9 N/C

  • Electric field due to the second particle at the origin: E2 = (9 x 10^9 Nm^2/C^2)(8C)/(2m)^2 = 2.25 x 10^9 N/C

  • Electric field due to the third particle at the origin: E3 = (9 x 10^9 Nm^2/C^2)(27C)/(3m)^2 = 3 x 10^8 N/C

  • Continue this calculation up to the tenth particle to get the total electric field at the origin

  • Total electric field at the origin: E = E1 + E2 + E3 + ... + E10



Step 2: Calculate the Electric Force


  • Use the electric field to calculate the electric force on a 1C charge placed at the origin: F = qE

  • Electric force on a 1C charge at the origin: F = (1C)(E)

  • Substitute the total electric field calculated in Step 1 to get the electric force on a 1C charge at the origin



Step 3: Final Answer


  • The magnitude of the electric force acting on a 1C charge placed at the origin is the absolute value of the electric force calculated in Step 2

  • The electric force calculated is in Newtons



Therefore, the magnitude of the electric force acting on a 1C charge placed at the origin can be calculated using the above steps.
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Ten positively charged particles are kept fixed on the X-axis at points x 1m, 2m 3m.10m the first particle has a charge 1C the second 8C the third 27C and so on the tenth particle has a charge 1000C find the magnitude of the electric force acting on a 1C charge placed at the origin.?
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Ten positively charged particles are kept fixed on the X-axis at points x 1m, 2m 3m.10m the first particle has a charge 1C the second 8C the third 27C and so on the tenth particle has a charge 1000C find the magnitude of the electric force acting on a 1C charge placed at the origin.? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Ten positively charged particles are kept fixed on the X-axis at points x 1m, 2m 3m.10m the first particle has a charge 1C the second 8C the third 27C and so on the tenth particle has a charge 1000C find the magnitude of the electric force acting on a 1C charge placed at the origin.? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ten positively charged particles are kept fixed on the X-axis at points x 1m, 2m 3m.10m the first particle has a charge 1C the second 8C the third 27C and so on the tenth particle has a charge 1000C find the magnitude of the electric force acting on a 1C charge placed at the origin.?.
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