NEET Exam > NEET Questions > A uniform line charge with linear density λ l...
Start Learning for Free
A uniform line charge with linear density λ lies along the y-axis. What flux crosses a spherical surface cantered at the origin with r = R A: 2Rλ/ε0 B: Rλ/ε0 C: λ/ε0 D: none of the above?
Most Upvoted Answer
A uniform line charge with linear density λ lies along the y-axis. Wha...
Flux Calculation of a Uniform Line Charge on a Spherical Surface
Flux through a closed surface is given by the formula Φ = ∮E⋅dA, where E is the electric field and dA is the area element vector.
Gaussian Surface Selection
In this case, we will choose a spherical Gaussian surface centered at the origin with radius r = R.
Electric Field Calculation
The electric field E due to a line charge is given by E = (λ/2πε₀r) in the radial direction.
Flux Calculation
To calculate the flux through the Gaussian surface, we need to find the total electric field passing through it. Since the electric field is radial, it is perpendicular to the surface at every point.
Therefore, the flux through the spherical surface will be the same as the flux through a flat circular surface with the same radius R. The flux through a flat circular surface due to a line charge is given by Φ = E * 4πR².
Substitute the expression for E into the equation, we get Φ = (λ/2πε₀R) * 4πR² = 2λR/ε₀.
Therefore, the correct answer is Option A: 2Rλ/ε₀.
Flux through a closed surface is given by the formula Φ = ∮E⋅dA, where E is the electric field and dA is the area element vector.
Gaussian Surface Selection
In this case, we will choose a spherical Gaussian surface centered at the origin with radius r = R.
Electric Field Calculation
The electric field E due to a line charge is given by E = (λ/2πε₀r) in the radial direction.
Flux Calculation
To calculate the flux through the Gaussian surface, we need to find the total electric field passing through it. Since the electric field is radial, it is perpendicular to the surface at every point.
Therefore, the flux through the spherical surface will be the same as the flux through a flat circular surface with the same radius R. The flux through a flat circular surface due to a line charge is given by Φ = E * 4πR².
Substitute the expression for E into the equation, we get Φ = (λ/2πε₀R) * 4πR² = 2λR/ε₀.
Therefore, the correct answer is Option A: 2Rλ/ε₀.
Community Answer
A uniform line charge with linear density λ lies along the y-axis. Wha...
I think ans. is A
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
A uniform line charge with linear density λ lies along the y-axis. What flux crosses a spherical surface cantered at the origin with r = R A: 2Rλ/ε0 B: Rλ/ε0 C: λ/ε0 D: none of the above?
Question Description
A uniform line charge with linear density λ lies along the y-axis. What flux crosses a spherical surface cantered at the origin with r = R A: 2Rλ/ε0 B: Rλ/ε0 C: λ/ε0 D: none of the above? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A uniform line charge with linear density λ lies along the y-axis. What flux crosses a spherical surface cantered at the origin with r = R A: 2Rλ/ε0 B: Rλ/ε0 C: λ/ε0 D: none of the above? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A uniform line charge with linear density λ lies along the y-axis. What flux crosses a spherical surface cantered at the origin with r = R A: 2Rλ/ε0 B: Rλ/ε0 C: λ/ε0 D: none of the above?.
A uniform line charge with linear density λ lies along the y-axis. What flux crosses a spherical surface cantered at the origin with r = R A: 2Rλ/ε0 B: Rλ/ε0 C: λ/ε0 D: none of the above? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A uniform line charge with linear density λ lies along the y-axis. What flux crosses a spherical surface cantered at the origin with r = R A: 2Rλ/ε0 B: Rλ/ε0 C: λ/ε0 D: none of the above? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A uniform line charge with linear density λ lies along the y-axis. What flux crosses a spherical surface cantered at the origin with r = R A: 2Rλ/ε0 B: Rλ/ε0 C: λ/ε0 D: none of the above?.
Solutions for A uniform line charge with linear density λ lies along the y-axis. What flux crosses a spherical surface cantered at the origin with r = R A: 2Rλ/ε0 B: Rλ/ε0 C: λ/ε0 D: none of the above? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of A uniform line charge with linear density λ lies along the y-axis. What flux crosses a spherical surface cantered at the origin with r = R A: 2Rλ/ε0 B: Rλ/ε0 C: λ/ε0 D: none of the above? defined & explained in the simplest way possible. Besides giving the explanation of
A uniform line charge with linear density λ lies along the y-axis. What flux crosses a spherical surface cantered at the origin with r = R A: 2Rλ/ε0 B: Rλ/ε0 C: λ/ε0 D: none of the above?, a detailed solution for A uniform line charge with linear density λ lies along the y-axis. What flux crosses a spherical surface cantered at the origin with r = R A: 2Rλ/ε0 B: Rλ/ε0 C: λ/ε0 D: none of the above? has been provided alongside types of A uniform line charge with linear density λ lies along the y-axis. What flux crosses a spherical surface cantered at the origin with r = R A: 2Rλ/ε0 B: Rλ/ε0 C: λ/ε0 D: none of the above? theory, EduRev gives you an
ample number of questions to practice A uniform line charge with linear density λ lies along the y-axis. What flux crosses a spherical surface cantered at the origin with r = R A: 2Rλ/ε0 B: Rλ/ε0 C: λ/ε0 D: none of the above? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup