Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > The equivalent inductance of a pair of a coup...
Start Learning for Free
The equivalent inductance of a pair of a coupled inductor in various configuration are
(a) 7 H after series adding connection
(b) 1.8 H after series opposing connection
(c) 0.5 H after parallel connection with dotted terminal connected together.
The value of L1 ,L2 and M are
(a) 7 H after series adding connection
(b) 1.8 H after series opposing connection
(c) 0.5 H after parallel connection with dotted terminal connected together.
The value of L1 ,L2 and M are
- a)3 H, 1.6 H, 1.2 H
- b)1.6 H, 3 H, 1.4 H
- c)3.7 H, 0.7 H, 1.3 H
- d)2 H, 3 H, 3 H
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The equivalent inductance of a pair of a coupled inductor in various c...
Most Upvoted Answer
The equivalent inductance of a pair of a coupled inductor in various c...
Coupled Inductors
Coupled inductors are a pair of inductors that are magnetically linked together. The mutual inductance between the two inductors is denoted by M. The equivalent inductance of a pair of coupled inductors depends on the configuration of the connection.
Series Adding Connection
When the two inductors are connected in series with the same polarity, the equivalent inductance is the sum of the individual inductances and twice the mutual inductance.
L_eq = L1 + L2 + 2M
Given that the equivalent inductance is 7 H, we can write the equation as:
7 = 3 + 1.6 + 2M
Solving for M, we get:
M = 1.2 H
Series Opposing Connection
When the two inductors are connected in series with opposing polarity, the equivalent inductance is the difference between the individual inductances and twice the mutual inductance.
L_eq = abs(L1 - L2) - 2M
Given that the equivalent inductance is 1.8 H, we can write the equation as:
1.8 = abs(3 - 1.6) - 2M
Solving for M, we get:
M = 0.5 H
Parallel Connection
When the two inductors are connected in parallel with the same polarity, the equivalent inductance is given by:
1/L_eq = 1/L1 + 1/L2 + 2/M
Given that the equivalent inductance is 0.5 H and the dotted terminal is connected together, we can write the equation as:
1/0.5 = 1/3 + 1/1.6 + 2/M
Solving for M, we get:
M = 1.3 H
Therefore, the values of L1, L2, and M are 3.7 H, 0.7 H, and 1.3 H respectively, which is option 'C'.
Coupled inductors are a pair of inductors that are magnetically linked together. The mutual inductance between the two inductors is denoted by M. The equivalent inductance of a pair of coupled inductors depends on the configuration of the connection.
Series Adding Connection
When the two inductors are connected in series with the same polarity, the equivalent inductance is the sum of the individual inductances and twice the mutual inductance.
L_eq = L1 + L2 + 2M
Given that the equivalent inductance is 7 H, we can write the equation as:
7 = 3 + 1.6 + 2M
Solving for M, we get:
M = 1.2 H
Series Opposing Connection
When the two inductors are connected in series with opposing polarity, the equivalent inductance is the difference between the individual inductances and twice the mutual inductance.
L_eq = abs(L1 - L2) - 2M
Given that the equivalent inductance is 1.8 H, we can write the equation as:
1.8 = abs(3 - 1.6) - 2M
Solving for M, we get:
M = 0.5 H
Parallel Connection
When the two inductors are connected in parallel with the same polarity, the equivalent inductance is given by:
1/L_eq = 1/L1 + 1/L2 + 2/M
Given that the equivalent inductance is 0.5 H and the dotted terminal is connected together, we can write the equation as:
1/0.5 = 1/3 + 1/1.6 + 2/M
Solving for M, we get:
M = 1.3 H
Therefore, the values of L1, L2, and M are 3.7 H, 0.7 H, and 1.3 H respectively, which is option 'C'.
Free Test
FREE
| Start Free Test |
Community Answer
The equivalent inductance of a pair of a coupled inductor in various c...
Attention Electrical Engineering (EE) Students!
To make sure you are not studying endlessly, EduRev has designed Electrical Engineering (EE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electrical Engineering (EE).
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Similar Electrical Engineering (EE) Doubts
Top Courses for Electrical Engineering (EE)View all
The equivalent inductance of a pair of a coupled inductor in various configuration are(a) 7 H after series adding connection(b) 1.8 H after series opposing connection(c) 0.5 H after parallel connection with dotted terminal connected together.The value of L1 ,L2 and M area)3 H, 1.6 H, 1.2 Hb)1.6 H, 3 H, 1.4 Hc)3.7 H, 0.7 H, 1.3 Hd)2 H, 3 H, 3 HCorrect answer is option 'C'. Can you explain this answer?
Question Description
The equivalent inductance of a pair of a coupled inductor in various configuration are(a) 7 H after series adding connection(b) 1.8 H after series opposing connection(c) 0.5 H after parallel connection with dotted terminal connected together.The value of L1 ,L2 and M area)3 H, 1.6 H, 1.2 Hb)1.6 H, 3 H, 1.4 Hc)3.7 H, 0.7 H, 1.3 Hd)2 H, 3 H, 3 HCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The equivalent inductance of a pair of a coupled inductor in various configuration are(a) 7 H after series adding connection(b) 1.8 H after series opposing connection(c) 0.5 H after parallel connection with dotted terminal connected together.The value of L1 ,L2 and M area)3 H, 1.6 H, 1.2 Hb)1.6 H, 3 H, 1.4 Hc)3.7 H, 0.7 H, 1.3 Hd)2 H, 3 H, 3 HCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equivalent inductance of a pair of a coupled inductor in various configuration are(a) 7 H after series adding connection(b) 1.8 H after series opposing connection(c) 0.5 H after parallel connection with dotted terminal connected together.The value of L1 ,L2 and M area)3 H, 1.6 H, 1.2 Hb)1.6 H, 3 H, 1.4 Hc)3.7 H, 0.7 H, 1.3 Hd)2 H, 3 H, 3 HCorrect answer is option 'C'. Can you explain this answer?.
The equivalent inductance of a pair of a coupled inductor in various configuration are(a) 7 H after series adding connection(b) 1.8 H after series opposing connection(c) 0.5 H after parallel connection with dotted terminal connected together.The value of L1 ,L2 and M area)3 H, 1.6 H, 1.2 Hb)1.6 H, 3 H, 1.4 Hc)3.7 H, 0.7 H, 1.3 Hd)2 H, 3 H, 3 HCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The equivalent inductance of a pair of a coupled inductor in various configuration are(a) 7 H after series adding connection(b) 1.8 H after series opposing connection(c) 0.5 H after parallel connection with dotted terminal connected together.The value of L1 ,L2 and M area)3 H, 1.6 H, 1.2 Hb)1.6 H, 3 H, 1.4 Hc)3.7 H, 0.7 H, 1.3 Hd)2 H, 3 H, 3 HCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equivalent inductance of a pair of a coupled inductor in various configuration are(a) 7 H after series adding connection(b) 1.8 H after series opposing connection(c) 0.5 H after parallel connection with dotted terminal connected together.The value of L1 ,L2 and M area)3 H, 1.6 H, 1.2 Hb)1.6 H, 3 H, 1.4 Hc)3.7 H, 0.7 H, 1.3 Hd)2 H, 3 H, 3 HCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The equivalent inductance of a pair of a coupled inductor in various configuration are(a) 7 H after series adding connection(b) 1.8 H after series opposing connection(c) 0.5 H after parallel connection with dotted terminal connected together.The value of L1 ,L2 and M area)3 H, 1.6 H, 1.2 Hb)1.6 H, 3 H, 1.4 Hc)3.7 H, 0.7 H, 1.3 Hd)2 H, 3 H, 3 HCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of The equivalent inductance of a pair of a coupled inductor in various configuration are(a) 7 H after series adding connection(b) 1.8 H after series opposing connection(c) 0.5 H after parallel connection with dotted terminal connected together.The value of L1 ,L2 and M area)3 H, 1.6 H, 1.2 Hb)1.6 H, 3 H, 1.4 Hc)3.7 H, 0.7 H, 1.3 Hd)2 H, 3 H, 3 HCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The equivalent inductance of a pair of a coupled inductor in various configuration are(a) 7 H after series adding connection(b) 1.8 H after series opposing connection(c) 0.5 H after parallel connection with dotted terminal connected together.The value of L1 ,L2 and M area)3 H, 1.6 H, 1.2 Hb)1.6 H, 3 H, 1.4 Hc)3.7 H, 0.7 H, 1.3 Hd)2 H, 3 H, 3 HCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The equivalent inductance of a pair of a coupled inductor in various configuration are(a) 7 H after series adding connection(b) 1.8 H after series opposing connection(c) 0.5 H after parallel connection with dotted terminal connected together.The value of L1 ,L2 and M area)3 H, 1.6 H, 1.2 Hb)1.6 H, 3 H, 1.4 Hc)3.7 H, 0.7 H, 1.3 Hd)2 H, 3 H, 3 HCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The equivalent inductance of a pair of a coupled inductor in various configuration are(a) 7 H after series adding connection(b) 1.8 H after series opposing connection(c) 0.5 H after parallel connection with dotted terminal connected together.The value of L1 ,L2 and M area)3 H, 1.6 H, 1.2 Hb)1.6 H, 3 H, 1.4 Hc)3.7 H, 0.7 H, 1.3 Hd)2 H, 3 H, 3 HCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The equivalent inductance of a pair of a coupled inductor in various configuration are(a) 7 H after series adding connection(b) 1.8 H after series opposing connection(c) 0.5 H after parallel connection with dotted terminal connected together.The value of L1 ,L2 and M area)3 H, 1.6 H, 1.2 Hb)1.6 H, 3 H, 1.4 Hc)3.7 H, 0.7 H, 1.3 Hd)2 H, 3 H, 3 HCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
|
|
Explore Courses for Electrical Engineering (EE) 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