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Two infinite linear charges are placed parallel to each other at a distance 0.1 m from each other. If the linear charge density on each is 5 micro C/m. then force acting on a unit length of each linear charge will be. A. 2.5 N/m B. 3.25N/m C. 4.5 N/m D. 7.5 N/m Correct answer is option 'C'. can you explain this answer?
Verified Answer
Two infinite linear charges are placed parallel to each other at a dis...
We know, electric field on infinite linear charge, E = λL/2π∈₀r,
where λ is linear charge density, r is the radius of circular part of linear charge.
We have to find out Force per unit length
=> F/L = qE/L , [ ∵ F = qE ]
Where, λ = linear charge density
= 5 μC/m
= 5 x 10⁻⁶ C/m.
Charge (q) = 5 μC
= 5 x 10⁻⁶ C.
Now, Force per unit length = qλL/2π∈₀rL = qλ/2π∈₀r
Put λ = 5 μC/m , q = 5μC , r = 0.1
∴ force per unit length = (5 x 10⁻⁶ x 5 x 10⁻⁶) / (2 x 3.14 x 8.857 x (10^-12) x 0.1)
= 25 /(6.28 x 0.8857)
= 4.494 N/m
Therefore answer is option C.
Therefore answer is option C.
This question is part of UPSC exam. View all JEE courses
Most Upvoted Answer
Two infinite linear charges are placed parallel to each other at a dis...
Given data:
- Distance between the charges (d) = 0.1 m
- Linear charge density (λ) = 5 μC/m
Formula for force between two parallel linear charges:
- The force per unit length between two parallel linear charges is given by the formula:
F = (λ1 * λ2) / (2πε₀d)
Calculations:
- Substituting the given values into the formula:
F = (5 * 5) / (2π * 8.85 * 10^-12 * 0.1)
F = 25 / (1.77 * 10^-11)
F ≈ 4.5 N/m
Therefore, the force acting on a unit length of each linear charge is approximately 4.5 N/m. Hence, the correct answer is option C.
- Distance between the charges (d) = 0.1 m
- Linear charge density (λ) = 5 μC/m
Formula for force between two parallel linear charges:
- The force per unit length between two parallel linear charges is given by the formula:
F = (λ1 * λ2) / (2πε₀d)
Calculations:
- Substituting the given values into the formula:
F = (5 * 5) / (2π * 8.85 * 10^-12 * 0.1)
F = 25 / (1.77 * 10^-11)
F ≈ 4.5 N/m
Therefore, the force acting on a unit length of each linear charge is approximately 4.5 N/m. Hence, the correct answer is option C.
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Two infinite linear charges are placed parallel to each other at a distance 0.1 m from each other. If the linear charge density on each is 5 micro C/m. then force acting on a unit length of each linear charge will be. A. 2.5 N/m B. 3.25N/m C. 4.5 N/m D. 7.5 N/m Correct answer is option 'C'. can you explain this answer?
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Two infinite linear charges are placed parallel to each other at a distance 0.1 m from each other. If the linear charge density on each is 5 micro C/m. then force acting on a unit length of each linear charge will be. A. 2.5 N/m B. 3.25N/m C. 4.5 N/m D. 7.5 N/m Correct answer is option 'C'. can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two infinite linear charges are placed parallel to each other at a distance 0.1 m from each other. If the linear charge density on each is 5 micro C/m. then force acting on a unit length of each linear charge will be. A. 2.5 N/m B. 3.25N/m C. 4.5 N/m D. 7.5 N/m Correct answer is option 'C'. can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two infinite linear charges are placed parallel to each other at a distance 0.1 m from each other. If the linear charge density on each is 5 micro C/m. then force acting on a unit length of each linear charge will be. A. 2.5 N/m B. 3.25N/m C. 4.5 N/m D. 7.5 N/m Correct answer is option 'C'. can you explain this answer?.
Two infinite linear charges are placed parallel to each other at a distance 0.1 m from each other. If the linear charge density on each is 5 micro C/m. then force acting on a unit length of each linear charge will be. A. 2.5 N/m B. 3.25N/m C. 4.5 N/m D. 7.5 N/m Correct answer is option 'C'. can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two infinite linear charges are placed parallel to each other at a distance 0.1 m from each other. If the linear charge density on each is 5 micro C/m. then force acting on a unit length of each linear charge will be. A. 2.5 N/m B. 3.25N/m C. 4.5 N/m D. 7.5 N/m Correct answer is option 'C'. can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two infinite linear charges are placed parallel to each other at a distance 0.1 m from each other. If the linear charge density on each is 5 micro C/m. then force acting on a unit length of each linear charge will be. A. 2.5 N/m B. 3.25N/m C. 4.5 N/m D. 7.5 N/m Correct answer is option 'C'. can you explain this answer?.
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