Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > The flux linkage in coil 1 is x Wb-tand it ha...
Start Learning for Free
The flux linkage in coil 1 is x Wb-t and it has 500 turns and the current in coil 2 is 2A, calculate the value of x if the mutual inductance is 750H.
- a)1Wb-t
- b)2Wb-t
- c)3Wb-t
- d)4Wb-t
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The flux linkage in coil 1 is x Wb-tand it has 500 turns and the curre...
We know that mutual inductance is the product of the number of turns in one coil and the flux linkages of that coil, divided by the current in the other coil.
φ=750*2/500= 3Wb-t.
φ=750*2/500= 3Wb-t.
Most Upvoted Answer
The flux linkage in coil 1 is x Wb-tand it has 500 turns and the curre...
Understanding Mutual Inductance
Mutual inductance is a measure of the influence that one coil has on another coil when the current through one coil changes. It is defined as the ratio of the induced electromotive force (emf) in one coil to the rate of change of current in the other coil.
Given Data
- Flux linkage in coil 1: x Wb-t
- Number of turns in coil 1: 500 turns
- Current in coil 2: 2 A
- Mutual inductance (M): 750 H
Formula for Induced EMF
The relationship between mutual inductance, flux linkage, and current can be expressed as:
Induced emf (E) = -M (dI/dt)
Where:
- M = Mutual inductance (750 H)
- dI/dt = Rate of change of current in coil 2
However, we also have:
Flux linkage (λ) = N * φ
Where:
- N = Number of turns in coil 1 (500)
- φ = Magnetic flux per turn
Since the flux linkage is given as x Wb-t, we can rewrite the equation:
x = N * φ = 500 * φ
Calculating φ
The mutual inductance is also related to the flux linkage and the current in coil 2:
M = λ / I2
Substituting the known values:
750 = x / 2
Now, solving for x:
x = 750 * 2 = 1500 Wb-t
However, the flux linkage in coil 1 is expressed in terms of the total flux linkage, which must be divided by the number of turns:
φ = 1500 / 500 = 3 Wb
Final Answer
Thus, the value of x is 3 Wb-t, which corresponds to option 'C'.
Mutual inductance is a measure of the influence that one coil has on another coil when the current through one coil changes. It is defined as the ratio of the induced electromotive force (emf) in one coil to the rate of change of current in the other coil.
Given Data
- Flux linkage in coil 1: x Wb-t
- Number of turns in coil 1: 500 turns
- Current in coil 2: 2 A
- Mutual inductance (M): 750 H
Formula for Induced EMF
The relationship between mutual inductance, flux linkage, and current can be expressed as:
Induced emf (E) = -M (dI/dt)
Where:
- M = Mutual inductance (750 H)
- dI/dt = Rate of change of current in coil 2
However, we also have:
Flux linkage (λ) = N * φ
Where:
- N = Number of turns in coil 1 (500)
- φ = Magnetic flux per turn
Since the flux linkage is given as x Wb-t, we can rewrite the equation:
x = N * φ = 500 * φ
Calculating φ
The mutual inductance is also related to the flux linkage and the current in coil 2:
M = λ / I2
Substituting the known values:
750 = x / 2
Now, solving for x:
x = 750 * 2 = 1500 Wb-t
However, the flux linkage in coil 1 is expressed in terms of the total flux linkage, which must be divided by the number of turns:
φ = 1500 / 500 = 3 Wb
Final Answer
Thus, the value of x is 3 Wb-t, which corresponds to option '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 flux linkage in coil 1 is x Wb-tand it has 500 turns and the current in coil 2 is 2A, calculate the value of x if the mutual inductance is 750H.a)1Wb-tb)2Wb-tc)3Wb-td)4Wb-tCorrect answer is option 'C'. Can you explain this answer?
Question Description
The flux linkage in coil 1 is x Wb-tand it has 500 turns and the current in coil 2 is 2A, calculate the value of x if the mutual inductance is 750H.a)1Wb-tb)2Wb-tc)3Wb-td)4Wb-tCorrect 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 flux linkage in coil 1 is x Wb-tand it has 500 turns and the current in coil 2 is 2A, calculate the value of x if the mutual inductance is 750H.a)1Wb-tb)2Wb-tc)3Wb-td)4Wb-tCorrect 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 flux linkage in coil 1 is x Wb-tand it has 500 turns and the current in coil 2 is 2A, calculate the value of x if the mutual inductance is 750H.a)1Wb-tb)2Wb-tc)3Wb-td)4Wb-tCorrect answer is option 'C'. Can you explain this answer?.
The flux linkage in coil 1 is x Wb-tand it has 500 turns and the current in coil 2 is 2A, calculate the value of x if the mutual inductance is 750H.a)1Wb-tb)2Wb-tc)3Wb-td)4Wb-tCorrect 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 flux linkage in coil 1 is x Wb-tand it has 500 turns and the current in coil 2 is 2A, calculate the value of x if the mutual inductance is 750H.a)1Wb-tb)2Wb-tc)3Wb-td)4Wb-tCorrect 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 flux linkage in coil 1 is x Wb-tand it has 500 turns and the current in coil 2 is 2A, calculate the value of x if the mutual inductance is 750H.a)1Wb-tb)2Wb-tc)3Wb-td)4Wb-tCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The flux linkage in coil 1 is x Wb-tand it has 500 turns and the current in coil 2 is 2A, calculate the value of x if the mutual inductance is 750H.a)1Wb-tb)2Wb-tc)3Wb-td)4Wb-tCorrect 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 flux linkage in coil 1 is x Wb-tand it has 500 turns and the current in coil 2 is 2A, calculate the value of x if the mutual inductance is 750H.a)1Wb-tb)2Wb-tc)3Wb-td)4Wb-tCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The flux linkage in coil 1 is x Wb-tand it has 500 turns and the current in coil 2 is 2A, calculate the value of x if the mutual inductance is 750H.a)1Wb-tb)2Wb-tc)3Wb-td)4Wb-tCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The flux linkage in coil 1 is x Wb-tand it has 500 turns and the current in coil 2 is 2A, calculate the value of x if the mutual inductance is 750H.a)1Wb-tb)2Wb-tc)3Wb-td)4Wb-tCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The flux linkage in coil 1 is x Wb-tand it has 500 turns and the current in coil 2 is 2A, calculate the value of x if the mutual inductance is 750H.a)1Wb-tb)2Wb-tc)3Wb-td)4Wb-tCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The flux linkage in coil 1 is x Wb-tand it has 500 turns and the current in coil 2 is 2A, calculate the value of x if the mutual inductance is 750H.a)1Wb-tb)2Wb-tc)3Wb-td)4Wb-tCorrect 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
|
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