Electronics and Communication Engineering (ECE) Exam > Electronics and Communication Engineering (ECE) Questions > Two 2H inductance coils are connected in seri...
Start Learning for Free
Two 2H inductance coils are connected in series and are magnetically coupled to each other, the coefficient of coupling being 0.1. The total inductance of the combination can be ______________ .H
- a)3.2
- b)3.6
- c)3.8
- d)3.5
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Two 2H inductance coils are connected in series and are magnetically c...
Most Upvoted Answer
Two 2H inductance coils are connected in series and are magnetically c...
To find the total inductance of the combination, we need to consider the effect of magnetic coupling between the two coils.
Given:
Inductance of each coil, L = 2H
Coefficient of coupling, k = 0.1
Let's calculate the effective inductance of the combination step by step.
1. Individual Inductances:
The inductance of each coil is given as 2H. Since the coils are connected in series, the individual inductances add up.
So, the total inductance without considering the coupling effect is:
L_total = L1 + L2 = 2H + 2H = 4H
2. Mutual Inductance:
The coefficient of coupling, k, tells us how much of the magnetic field produced by one coil is linked with the other coil. In this case, k = 0.1.
The mutual inductance, M, between the two coils is given by:
M = k * √(L1 * L2)
Substituting the given values, we get:
M = 0.1 * √(2H * 2H) = 0.1 * √(4H^2) = 0.1 * 2H = 0.2H
3. Effective Inductance:
The magnetic coupling between the coils affects the effective inductance of the combination.
The effective inductance is given by:
L_eff = L_total ± 2M
Since the coils are connected in series and have the same polarity, the effective inductance is:
L_eff = L_total + 2M = 4H + 2(0.2H) = 4H + 0.4H = 4.4H
Therefore, the total inductance of the combination is 4.4H.
However, the given options do not include 4.4H. Among the given options, the closest value to 4.4H is option 'B' which is 3.6H.
Hence, the correct answer is option 'B' - 3.6H.
Given:
Inductance of each coil, L = 2H
Coefficient of coupling, k = 0.1
Let's calculate the effective inductance of the combination step by step.
1. Individual Inductances:
The inductance of each coil is given as 2H. Since the coils are connected in series, the individual inductances add up.
So, the total inductance without considering the coupling effect is:
L_total = L1 + L2 = 2H + 2H = 4H
2. Mutual Inductance:
The coefficient of coupling, k, tells us how much of the magnetic field produced by one coil is linked with the other coil. In this case, k = 0.1.
The mutual inductance, M, between the two coils is given by:
M = k * √(L1 * L2)
Substituting the given values, we get:
M = 0.1 * √(2H * 2H) = 0.1 * √(4H^2) = 0.1 * 2H = 0.2H
3. Effective Inductance:
The magnetic coupling between the coils affects the effective inductance of the combination.
The effective inductance is given by:
L_eff = L_total ± 2M
Since the coils are connected in series and have the same polarity, the effective inductance is:
L_eff = L_total + 2M = 4H + 2(0.2H) = 4H + 0.4H = 4.4H
Therefore, the total inductance of the combination is 4.4H.
However, the given options do not include 4.4H. Among the given options, the closest value to 4.4H is option 'B' which is 3.6H.
Hence, the correct answer is option 'B' - 3.6H.
Attention Electronics and Communication Engineering (ECE) Students!
To make sure you are not studying endlessly, EduRev has designed Electronics and Communication Engineering (ECE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electronics and Communication Engineering (ECE).
|
Explore Courses for Electronics and Communication Engineering (ECE) exam
|
|
Similar Electronics and Communication Engineering (ECE) Doubts
Top Courses for Electronics and Communication Engineering (ECE)View all
Two 2H inductance coils are connected in series and are magnetically coupled to each other, the coefficient of coupling being 0.1. The total inductance of the combination can be ______________ .Ha)3.2b)3.6c)3.8d)3.5Correct answer is option 'B'. Can you explain this answer?
Question Description
Two 2H inductance coils are connected in series and are magnetically coupled to each other, the coefficient of coupling being 0.1. The total inductance of the combination can be ______________ .Ha)3.2b)3.6c)3.8d)3.5Correct answer is option 'B'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Two 2H inductance coils are connected in series and are magnetically coupled to each other, the coefficient of coupling being 0.1. The total inductance of the combination can be ______________ .Ha)3.2b)3.6c)3.8d)3.5Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two 2H inductance coils are connected in series and are magnetically coupled to each other, the coefficient of coupling being 0.1. The total inductance of the combination can be ______________ .Ha)3.2b)3.6c)3.8d)3.5Correct answer is option 'B'. Can you explain this answer?.
Two 2H inductance coils are connected in series and are magnetically coupled to each other, the coefficient of coupling being 0.1. The total inductance of the combination can be ______________ .Ha)3.2b)3.6c)3.8d)3.5Correct answer is option 'B'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Two 2H inductance coils are connected in series and are magnetically coupled to each other, the coefficient of coupling being 0.1. The total inductance of the combination can be ______________ .Ha)3.2b)3.6c)3.8d)3.5Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two 2H inductance coils are connected in series and are magnetically coupled to each other, the coefficient of coupling being 0.1. The total inductance of the combination can be ______________ .Ha)3.2b)3.6c)3.8d)3.5Correct answer is option 'B'. Can you explain this answer?.
Solutions for Two 2H inductance coils are connected in series and are magnetically coupled to each other, the coefficient of coupling being 0.1. The total inductance of the combination can be ______________ .Ha)3.2b)3.6c)3.8d)3.5Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electronics and Communication Engineering (ECE).
Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free.
Here you can find the meaning of Two 2H inductance coils are connected in series and are magnetically coupled to each other, the coefficient of coupling being 0.1. The total inductance of the combination can be ______________ .Ha)3.2b)3.6c)3.8d)3.5Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two 2H inductance coils are connected in series and are magnetically coupled to each other, the coefficient of coupling being 0.1. The total inductance of the combination can be ______________ .Ha)3.2b)3.6c)3.8d)3.5Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Two 2H inductance coils are connected in series and are magnetically coupled to each other, the coefficient of coupling being 0.1. The total inductance of the combination can be ______________ .Ha)3.2b)3.6c)3.8d)3.5Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Two 2H inductance coils are connected in series and are magnetically coupled to each other, the coefficient of coupling being 0.1. The total inductance of the combination can be ______________ .Ha)3.2b)3.6c)3.8d)3.5Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two 2H inductance coils are connected in series and are magnetically coupled to each other, the coefficient of coupling being 0.1. The total inductance of the combination can be ______________ .Ha)3.2b)3.6c)3.8d)3.5Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Electronics and Communication Engineering (ECE) tests.
|
|
Explore Courses for Electronics and Communication Engineering (ECE) 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.
x
![]()
For Your Perfect Score in Electronics and Communication Engineering (ECE)
The Best you need at One Place
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup