The arrangement of two flat circular coils so that their mutual inductance was greatest.

Question

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Answer 1

Question

Chapter 30, Problem 1Q

(a)

To determine

The arrangement of two flat circular coils so that their mutual inductance was greatest.

(a)

Expert Solution

Answer to Problem 1Q

The two circular coils has to place close together and along the same axis.

Explanation of Solution

The magnitude of mutual inductance is directly proportional to the number of field lines or flux passing through the coil. The direction of magnetic field in a coil is along its axis. As the two circular coils are placed along the same axis, the number of field lines passing through one coil due to the current flowing through the other coil is greatest in this arrangement.

Conclusion:

Therefore, the two circular coils has to place close together and along the same axis.

(b)

To determine

The arrangement of two flat circular coils so that their mutual inductance was least.

(b)

Expert Solution

Answer to Problem 1Q

Two circular coils has to place close together with their faces perpendicular to each other.

Explanation of Solution

The magnitude of mutual inductance is proportional to the field lines passing through the coil. The direction of magnetic field in a coil is along its axis. As the faces of coil placed perpendicular to each other, least number of field lines will pass through the coil due the current flowing in the other coil.

Conclusion:

Therefore, two circular coils has to place close together with their faces perpendicular to each other.

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Answer 2

Question

Chapter 30, Problem 1Q

(a)

To determine

The arrangement of two flat circular coils so that their mutual inductance was greatest.

(a)

Expert Solution

Answer to Problem 1Q

The two circular coils has to place close together and along the same axis.

Explanation of Solution

The magnitude of mutual inductance is directly proportional to the number of field lines or flux passing through the coil. The direction of magnetic field in a coil is along its axis. As the two circular coils are placed along the same axis, the number of field lines passing through one coil due to the current flowing through the other coil is greatest in this arrangement.

Conclusion:

Therefore, the two circular coils has to place close together and along the same axis.

(b)

To determine

The arrangement of two flat circular coils so that their mutual inductance was least.

(b)

Expert Solution

Answer to Problem 1Q

Two circular coils has to place close together with their faces perpendicular to each other.

Explanation of Solution

The magnitude of mutual inductance is proportional to the field lines passing through the coil. The direction of magnetic field in a coil is along its axis. As the faces of coil placed perpendicular to each other, least number of field lines will pass through the coil due the current flowing in the other coil.

Conclusion:

Therefore, two circular coils has to place close together with their faces perpendicular to each other.

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Answer 3

Question

Chapter 30, Problem 1Q

(a)

To determine

The arrangement of two flat circular coils so that their mutual inductance was greatest.

(a)

Expert Solution

Answer to Problem 1Q

The two circular coils has to place close together and along the same axis.

Explanation of Solution

The magnitude of mutual inductance is directly proportional to the number of field lines or flux passing through the coil. The direction of magnetic field in a coil is along its axis. As the two circular coils are placed along the same axis, the number of field lines passing through one coil due to the current flowing through the other coil is greatest in this arrangement.

Conclusion:

Therefore, the two circular coils has to place close together and along the same axis.

(b)

To determine

The arrangement of two flat circular coils so that their mutual inductance was least.

(b)

Expert Solution

Answer to Problem 1Q

Two circular coils has to place close together with their faces perpendicular to each other.

Explanation of Solution

The magnitude of mutual inductance is proportional to the field lines passing through the coil. The direction of magnetic field in a coil is along its axis. As the faces of coil placed perpendicular to each other, least number of field lines will pass through the coil due the current flowing in the other coil.

Conclusion:

Therefore, two circular coils has to place close together with their faces perpendicular to each other.

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Answer 4

Question

Chapter 30, Problem 1Q

(a)

To determine

The arrangement of two flat circular coils so that their mutual inductance was greatest.

(a)

Expert Solution

Answer to Problem 1Q

The two circular coils has to place close together and along the same axis.

Explanation of Solution

The magnitude of mutual inductance is directly proportional to the number of field lines or flux passing through the coil. The direction of magnetic field in a coil is along its axis. As the two circular coils are placed along the same axis, the number of field lines passing through one coil due to the current flowing through the other coil is greatest in this arrangement.

Conclusion:

Therefore, the two circular coils has to place close together and along the same axis.

(b)

To determine

The arrangement of two flat circular coils so that their mutual inductance was least.

(b)

Expert Solution

Answer to Problem 1Q

Two circular coils has to place close together with their faces perpendicular to each other.

Explanation of Solution

The magnitude of mutual inductance is proportional to the field lines passing through the coil. The direction of magnetic field in a coil is along its axis. As the faces of coil placed perpendicular to each other, least number of field lines will pass through the coil due the current flowing in the other coil.

Conclusion:

Therefore, two circular coils has to place close together with their faces perpendicular to each other.

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Answer 5

Chapter 30, Problem 1Q

(a)

To determine

The arrangement of two flat circular coils so that their mutual inductance was greatest.

(a)

Expert Solution

Answer to Problem 1Q

The two circular coils has to place close together and along the same axis.

Explanation of Solution

The magnitude of mutual inductance is directly proportional to the number of field lines or flux passing through the coil. The direction of magnetic field in a coil is along its axis. As the two circular coils are placed along the same axis, the number of field lines passing through one coil due to the current flowing through the other coil is greatest in this arrangement.

Conclusion:

Therefore, the two circular coils has to place close together and along the same axis.

(b)

To determine

The arrangement of two flat circular coils so that their mutual inductance was least.

(b)

Expert Solution

Answer to Problem 1Q

Two circular coils has to place close together with their faces perpendicular to each other.

Explanation of Solution

The magnitude of mutual inductance is proportional to the field lines passing through the coil. The direction of magnetic field in a coil is along its axis. As the faces of coil placed perpendicular to each other, least number of field lines will pass through the coil due the current flowing in the other coil.

Conclusion:

Therefore, two circular coils has to place close together with their faces perpendicular to each other.

Answer 6

Chapter 30, Problem 1Q

(a)

To determine

The arrangement of two flat circular coils so that their mutual inductance was greatest.

(a)

Expert Solution

Answer to Problem 1Q

The two circular coils has to place close together and along the same axis.

Explanation of Solution

The magnitude of mutual inductance is directly proportional to the number of field lines or flux passing through the coil. The direction of magnetic field in a coil is along its axis. As the two circular coils are placed along the same axis, the number of field lines passing through one coil due to the current flowing through the other coil is greatest in this arrangement.

Conclusion:

Therefore, the two circular coils has to place close together and along the same axis.

Answer 7

Chapter 30, Problem 1Q

(a)

To determine

The arrangement of two flat circular coils so that their mutual inductance was greatest.

Answer 8

(a)

Expert Solution

Answer to Problem 1Q

The two circular coils has to place close together and along the same axis.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

The magnitude of mutual inductance is directly proportional to the number of field lines or flux passing through the coil. The direction of magnetic field in a coil is along its axis. As the two circular coils are placed along the same axis, the number of field lines passing through one coil due to the current flowing through the other coil is greatest in this arrangement.

Conclusion:

Therefore, the two circular coils has to place close together and along the same axis.

Answer 13

(b)

To determine

The arrangement of two flat circular coils so that their mutual inductance was least.

(b)

Expert Solution

Answer to Problem 1Q

Two circular coils has to place close together with their faces perpendicular to each other.

Explanation of Solution

The magnitude of mutual inductance is proportional to the field lines passing through the coil. The direction of magnetic field in a coil is along its axis. As the faces of coil placed perpendicular to each other, least number of field lines will pass through the coil due the current flowing in the other coil.

Conclusion:

Therefore, two circular coils has to place close together with their faces perpendicular to each other.

Answer 14

(b)

To determine

The arrangement of two flat circular coils so that their mutual inductance was least.

Answer 15

(b)

Expert Solution

Answer to Problem 1Q

Two circular coils has to place close together with their faces perpendicular to each other.

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

The magnitude of mutual inductance is proportional to the field lines passing through the coil. The direction of magnetic field in a coil is along its axis. As the faces of coil placed perpendicular to each other, least number of field lines will pass through the coil due the current flowing in the other coil.

Conclusion:

Therefore, two circular coils has to place close together with their faces perpendicular to each other.

Answer 20

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The arrangement of two flat circular coils so that their mutual inductance was greatest.

Concept explainers

The arrangement of two flat circular coils so that their mutual inductance was greatest.

Answer to Problem 1Q

Explanation of Solution

The arrangement of two flat circular coils so that their mutual inductance was least.

Answer to Problem 1Q

Explanation of Solution

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Chapter 30 Solutions