Test: Mutual Inductance & Coupling Coefficient

# Test: Mutual Inductance & Coupling Coefficient

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## 20 Questions MCQ Test Basic Electrical Technology | Test: Mutual Inductance & Coupling Coefficient

Test: Mutual Inductance & Coupling Coefficient for Electrical Engineering (EE) 2022 is part of Basic Electrical Technology preparation. The Test: Mutual Inductance & Coupling Coefficient questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Mutual Inductance & Coupling Coefficient MCQs are made for Electrical Engineering (EE) 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Mutual Inductance & Coupling Coefficient below.
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Test: Mutual Inductance & Coupling Coefficient - Question 1

### The phenomenon due to which there is an induced current in one coil due to current in a neighbouring coil is?

Detailed Solution for Test: Mutual Inductance & Coupling Coefficient - Question 1

When there is a current induced in a coil, due to the magnetic field caused by the current there is current induced in the neighbouring coil as well. This is known as mutual inductance.

Test: Mutual Inductance & Coupling Coefficient - Question 2

### If the current in one coil is steady, what happens to the mutual inductance?

Detailed Solution for Test: Mutual Inductance & Coupling Coefficient - Question 2

A magnetic field is produced when there is a changing electric field. Hence the magnetic field is zero when the current is steady. When the magnetic field is zero there is no current induced in the other coil, thus electric field is zero.

Test: Mutual Inductance & Coupling Coefficient - Question 3

### If the current in one coil is steady, what happens to the mutual inductance?

Detailed Solution for Test: Mutual Inductance & Coupling Coefficient - Question 3

A magnetic field is produced when there is a changing electric field. Hence the magnetic field is zero when the current is steady. When the magnetic field is zero there is no current induced in the other coil, thus electric field is zero.

Test: Mutual Inductance & Coupling Coefficient - Question 4

What is the SI unit of mutual inductance?

Detailed Solution for Test: Mutual Inductance & Coupling Coefficient - Question 4

Mutual inductance is the inductance between the two neighbouring coils. Since it is a type of inductance, its unit is that of inductance, that is, henry.

Test: Mutual Inductance & Coupling Coefficient - Question 5

Which, among the following, is the correct expression for mutual inductance?

Detailed Solution for Test: Mutual Inductance & Coupling Coefficient - Question 5

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. Hence M=N2φ2/I1 is the correct expression.

Test: Mutual Inductance & Coupling Coefficient - Question 6

If the flux linkage in coil 1 is 3Wb-t and it has 500 turns and the current in coil 2 is 2A, calculate the mutual inductance.

Detailed Solution for Test: Mutual Inductance & Coupling Coefficient - Question 6

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.
M=3*500/2=750H.

Test: Mutual Inductance & Coupling Coefficient - Question 7

The flux linkage in coil 1 is 3Wb-t and it has x turns and the current in coil 2 is 2A, calculate the value of x if the mutual inductance is 750H.

Detailed Solution for Test: Mutual Inductance & Coupling Coefficient - Question 7

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.
N=750*2/3= 300 turns.

Test: Mutual Inductance & Coupling Coefficient - Question 8

If the current in one coil becomes steady, the magnetic field is?

Detailed Solution for Test: Mutual Inductance & Coupling Coefficient - Question 8

A magnetic field is produced when there is a changing electric field. Hence the magnetic field is zero when the current is steady.

Test: Mutual Inductance & Coupling Coefficient - Question 9

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.

Detailed Solution for Test: Mutual Inductance & Coupling Coefficient - Question 9

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.

Test: Mutual Inductance & Coupling Coefficient - Question 10

The flux linkage in coil 1 is 3 Wb-t and it has 500 turns and the current in coil 2 is xA, calculate the value of x if the mutual inductance is 750H.

Detailed Solution for Test: Mutual Inductance & Coupling Coefficient - Question 10

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.
I=3*500/750= 2A.

Test: Mutual Inductance & Coupling Coefficient - Question 11

What is the coupling coefficient when all the flux of coil 1 links with coil 2?

Detailed Solution for Test: Mutual Inductance & Coupling Coefficient - Question 11

When all the flux of coil 1 links with coil 2 it is known as an ideal coupling where the coupling coefficient is 1.

Test: Mutual Inductance & Coupling Coefficient - Question 12

What is the coupling coefficient when there is ideal coupling?

Detailed Solution for Test: Mutual Inductance & Coupling Coefficient - Question 12

When all the flux of coil 1 links with coil 2 it is known as an ideal coupling where the coupling coefficient is 1.

Test: Mutual Inductance & Coupling Coefficient - Question 13

Can the coupling coefficient practically ever be equal to 1?

Detailed Solution for Test: Mutual Inductance & Coupling Coefficient - Question 13

Coupling coefficient can never be equal to 1 because all the flux of coil 1 can never link with coil 2. There are bound to be losses.

Test: Mutual Inductance & Coupling Coefficient - Question 14

Mutual inductance between to coupled coils depends on?

Detailed Solution for Test: Mutual Inductance & Coupling Coefficient - Question 14

Faraday’s law of induction states that, the magnitude of the induced EMF is the product of the number of turns of the coil and the rate of change of flux linkage in it. Hence, the mutual inductance depends on the rate of change of flux linkage.

Test: Mutual Inductance & Coupling Coefficient - Question 15

Which, among the following, is the correct formula to fing coupling coefficient?

Detailed Solution for Test: Mutual Inductance & Coupling Coefficient - Question 15

The correct formula for coupling coefficient is k=M/sqrt(L1L2). Where, L1 and L2 are the inductance values of the first and second coil respectively and M is the mutual inductance.

Test: Mutual Inductance & Coupling Coefficient - Question 16

What happens to coupling coefficient when the flux linkage of coil 1 and coil 2 increases?

Detailed Solution for Test: Mutual Inductance & Coupling Coefficient - Question 16

When the flux linkage of coil 1 and coil 2 increases, its mutual inductance increases. The coupling coefficient is directly proportional to the mutual inductance hence as mutual inductance increases, the coupling coefficient increases.

Test: Mutual Inductance & Coupling Coefficient - Question 17

What is the SI unit of coupling coefficient?

Detailed Solution for Test: Mutual Inductance & Coupling Coefficient - Question 17

The expression to find mutual inductance is k=M/sqrt(L1L2)= H/sqrt(H*H)= 1. Therefore it does not have any unit.

Test: Mutual Inductance & Coupling Coefficient - Question 18

Find the coupling coefficient if the Mutual inductance is 20H, the inductance of coil 1 is 2H and the inductance of coil 2 is 8H.

Detailed Solution for Test: Mutual Inductance & Coupling Coefficient - Question 18

we know that:
k=M/sqrt(L1L2)
Substituting the values from the question, we get k=5.

Test: Mutual Inductance & Coupling Coefficient - Question 19

Find the value of x if the Mutual inductance is x H, the inductance of coil 1 is 2H and the inductance of coil 2 is 8H. The coupling coefficient is 5.

Detailed Solution for Test: Mutual Inductance & Coupling Coefficient - Question 19

we know that:
k=M/sqrt(L1L2)
Substituting the values from the question, we get M=20H.

Test: Mutual Inductance & Coupling Coefficient - Question 20

Find the value of x if the Mutual inductance is 20H, the inductance of coil 1 is xH and the inductance of coil 2 is 8H. The coupling coefficient is 5.

Detailed Solution for Test: Mutual Inductance & Coupling Coefficient - Question 20

we know that:
k=M/sqrt(L1L2)
Substituting the values from the question, we get L1=2H.

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