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A 5 H coil is coupled with a 20 H coil. What could be the maximum value of mutual inductance between them considering no flux linkage?
- a)12.5 H
- b)5 H
- c)10 H
- d)25 H
Correct answer is option 'C'. Can you explain this answer?
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A 5 H coil is coupled with a 20 H coil. What could be the maximum valu...
Concept:
Mutual inductance:
Mutual inductance:
- When two coils are brought in proximity with each other the magnetic field in one coil tends to link with the other.
- It leads to the generation of voltage in the second coil.
- This property of a coil that affects or changes the current in the second coil is called mutual inductance.
- Mathematically, mutual inductance (M) between two coils of inductance, L1 and L2 is given by
where K is the coefficient of coupling.
K ranges from 0 to 1.
When two coils are not in proximity to each other, then flux linkage between them will be zero, so, the value of K would be 1 in that case.
Given:
L1 = 5 H and L2 = 20 H.
Here K = 1.
From 1, mutual inductance (M) can be given as
= 10 H.
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A 5 H coil is coupled with a 20 H coil. What could be the maximum valu...
Given:
- Coil 1: 5 H
- Coil 2: 20 H
To find:
- Maximum value of mutual inductance between the coils
Mutual Inductance:
Mutual inductance (M) is a measure of the magnetic coupling between two coils. 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. It depends on the physical arrangement and orientation of the coils.
Formula:
The formula to calculate mutual inductance is given by:
M = √(L1 * L2)
where M is the mutual inductance, L1 is the inductance of coil 1, and L2 is the inductance of coil 2.
Calculations:
Given that the inductance of coil 1 (L1) is 5 H and the inductance of coil 2 (L2) is 20 H, we can substitute these values into the formula to find the mutual inductance (M):
M = √(5 * 20)
M = √(100)
M = 10 H
Therefore, the maximum value of mutual inductance between the two coils is 10 H. Hence, option (c) is the correct answer.
- Coil 1: 5 H
- Coil 2: 20 H
To find:
- Maximum value of mutual inductance between the coils
Mutual Inductance:
Mutual inductance (M) is a measure of the magnetic coupling between two coils. 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. It depends on the physical arrangement and orientation of the coils.
Formula:
The formula to calculate mutual inductance is given by:
M = √(L1 * L2)
where M is the mutual inductance, L1 is the inductance of coil 1, and L2 is the inductance of coil 2.
Calculations:
Given that the inductance of coil 1 (L1) is 5 H and the inductance of coil 2 (L2) is 20 H, we can substitute these values into the formula to find the mutual inductance (M):
M = √(5 * 20)
M = √(100)
M = 10 H
Therefore, the maximum value of mutual inductance between the two coils is 10 H. Hence, option (c) is the correct answer.
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