JEE Exam > JEE Questions > Two solenoids of same cross-sectional area ha...
Start Learning for Free
Two solenoids of same cross-sectional area have their lengths and number of turns in ratio of 1 : 2.
The ratio of self-inductance of two solenoids is
The ratio of self-inductance of two solenoids is
- a)1 : 1
- b)1 : 2
- c)2 : 1
- d)1 : 4
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Two solenoids of same cross-sectional area have their lengths and numb...
From
we get,
we get,
Most Upvoted Answer
Two solenoids of same cross-sectional area have their lengths and numb...
Solution:
Given, two solenoids have their lengths and number of turns in the ratio of 1:2.
Let the first solenoid have length L and number of turns N.
Then, the second solenoid will have length 2L and number of turns 2N.
The self-inductance of a solenoid is given by,
L = μ₀n²Aℓ
where μ₀ is the permeability of free space, n is the number of turns per unit length, A is the cross-sectional area of the solenoid and ℓ is the length of the solenoid.
Let L₁ be the self-inductance of the first solenoid and L₂ be the self-inductance of the second solenoid.
Then,
L₁ = μ₀N²Aℓ
L₂ = μ₀(2N)²A(2L)
L₂ = 4μ₀N²A(2L)
L₂ = 8μ₀N²Aℓ
Therefore,
L₂/L₁ = 8μ₀N²Aℓ/μ₀N²Aℓ = 8/1
Hence, the ratio of self-inductance of the two solenoids is 1:2.
Therefore, option (b) is the correct answer.
Given, two solenoids have their lengths and number of turns in the ratio of 1:2.
Let the first solenoid have length L and number of turns N.
Then, the second solenoid will have length 2L and number of turns 2N.
The self-inductance of a solenoid is given by,
L = μ₀n²Aℓ
where μ₀ is the permeability of free space, n is the number of turns per unit length, A is the cross-sectional area of the solenoid and ℓ is the length of the solenoid.
Let L₁ be the self-inductance of the first solenoid and L₂ be the self-inductance of the second solenoid.
Then,
L₁ = μ₀N²Aℓ
L₂ = μ₀(2N)²A(2L)
L₂ = 4μ₀N²A(2L)
L₂ = 8μ₀N²Aℓ
Therefore,
L₂/L₁ = 8μ₀N²Aℓ/μ₀N²Aℓ = 8/1
Hence, the ratio of self-inductance of the two solenoids is 1:2.
Therefore, option (b) is the correct answer.
Free Test
FREE
| Start Free Test |
Community Answer
Two solenoids of same cross-sectional area have their lengths and numb...
From
we get,
we get,
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
Two solenoids of same cross-sectional area have their lengths and number of turns in ratio of 1 : 2.The ratio of self-inductance of two solenoids isa)1 : 1b)1 : 2c)2 : 1d)1 : 4Correct answer is option 'B'. Can you explain this answer?
Question Description
Two solenoids of same cross-sectional area have their lengths and number of turns in ratio of 1 : 2.The ratio of self-inductance of two solenoids isa)1 : 1b)1 : 2c)2 : 1d)1 : 4Correct answer is option 'B'. 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 solenoids of same cross-sectional area have their lengths and number of turns in ratio of 1 : 2.The ratio of self-inductance of two solenoids isa)1 : 1b)1 : 2c)2 : 1d)1 : 4Correct answer is option 'B'. 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 solenoids of same cross-sectional area have their lengths and number of turns in ratio of 1 : 2.The ratio of self-inductance of two solenoids isa)1 : 1b)1 : 2c)2 : 1d)1 : 4Correct answer is option 'B'. Can you explain this answer?.
Two solenoids of same cross-sectional area have their lengths and number of turns in ratio of 1 : 2.The ratio of self-inductance of two solenoids isa)1 : 1b)1 : 2c)2 : 1d)1 : 4Correct answer is option 'B'. 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 solenoids of same cross-sectional area have their lengths and number of turns in ratio of 1 : 2.The ratio of self-inductance of two solenoids isa)1 : 1b)1 : 2c)2 : 1d)1 : 4Correct answer is option 'B'. 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 solenoids of same cross-sectional area have their lengths and number of turns in ratio of 1 : 2.The ratio of self-inductance of two solenoids isa)1 : 1b)1 : 2c)2 : 1d)1 : 4Correct answer is option 'B'. Can you explain this answer?.
Solutions for Two solenoids of same cross-sectional area have their lengths and number of turns in ratio of 1 : 2.The ratio of self-inductance of two solenoids isa)1 : 1b)1 : 2c)2 : 1d)1 : 4Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Two solenoids of same cross-sectional area have their lengths and number of turns in ratio of 1 : 2.The ratio of self-inductance of two solenoids isa)1 : 1b)1 : 2c)2 : 1d)1 : 4Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two solenoids of same cross-sectional area have their lengths and number of turns in ratio of 1 : 2.The ratio of self-inductance of two solenoids isa)1 : 1b)1 : 2c)2 : 1d)1 : 4Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Two solenoids of same cross-sectional area have their lengths and number of turns in ratio of 1 : 2.The ratio of self-inductance of two solenoids isa)1 : 1b)1 : 2c)2 : 1d)1 : 4Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Two solenoids of same cross-sectional area have their lengths and number of turns in ratio of 1 : 2.The ratio of self-inductance of two solenoids isa)1 : 1b)1 : 2c)2 : 1d)1 : 4Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two solenoids of same cross-sectional area have their lengths and number of turns in ratio of 1 : 2.The ratio of self-inductance of two solenoids isa)1 : 1b)1 : 2c)2 : 1d)1 : 4Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE 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