Two infinite line charges having linear charge density λ₁ and λ₂ are placed along the x and y axis respectively. The electric field at a point (x₁, y₁) in the first quadrant is inclined at an angle of 60° with the x-axis. Then which of the following relations is correct.

√3λ₂y₁ = λ₁x₁

√3λ₂x₁ = λ₁y₁

λ₂x₁ = √3λ₁y₁

λ₂y₁ = √3λ₁x₁

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Electrostatics Physics Electrostatic Potential and Capacitance Physics Class 12th

Two infinite line charges having linear charge density λ₁ and λ₂ are placed along the x and y axis respectively. The electric field at a point (x₁, y₁) in the first quadrant is inclined at an angle of 60° with the x-axis. Then which of the following relations is correct.

Option 1 -

√3λ₂x₁ = λ₁y₁

Option 2 -

λ₂x₁ = √3λ₁y₁

Option 3 -

λ₂y₁ = √3λ₁x₁

Option 4 -

√3λ₂y₁ = λ₁x₁

4 Views | Posted 3 weeks ago

Asked by Shiksha User

1 Answer

Answered by

Vishal Baghel | Contributor-Level 10

3 weeks ago

Correct Option - 4

Detailed Solution:

tan 60° = (2kλ? /y? )/ (2kλ? /x? )

(√3λ? /x? ) = (λ? /y? ); √3λ? y? = λ? x?

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