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The self inductance of two coils are 4mH and 9mH respectively. If the coefficient of coupling is 0.5, the mutual inductance between the coils is _____
- a)6.5 mH
- b)18 mH
- c)3 mH
- d)12.5 mH
Correct answer is option 'C'. Can you explain this answer?
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The self inductance of two coils are 4mH and 9mH respectively. If the ...
Given:
Self inductance of coil 1 (L1) = 4mH
Self inductance of coil 2 (L2) = 9mH
Coefficient of coupling (k) = 0.5
To find:
Mutual inductance between the coils (M)
Formula used:
M = k√(L1L2)
Solution:
Substituting the given values in the formula, we get:
M = 0.5√(4mH × 9mH)
M = 0.5 × √36mH²
M = 0.5 × 6mH
M = 3mH
Therefore, the mutual inductance between the coils is 3mH.
Answer: Option (c) 3mH.
Self inductance of coil 1 (L1) = 4mH
Self inductance of coil 2 (L2) = 9mH
Coefficient of coupling (k) = 0.5
To find:
Mutual inductance between the coils (M)
Formula used:
M = k√(L1L2)
Solution:
Substituting the given values in the formula, we get:
M = 0.5√(4mH × 9mH)
M = 0.5 × √36mH²
M = 0.5 × 6mH
M = 3mH
Therefore, the mutual inductance between the coils is 3mH.
Answer: Option (c) 3mH.
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The self inductance of two coils are 4mH and 9mH respectively. If the ...
Concept:
Coefficient of Coupling (k):
The coefficient of coupling (k) between two coils is defined as the fraction of magnetic flux produced by the current in one coil that links the other.
Two coils have self-inductance L1 and L2, then mutual inductance M between them then Coefficient of Coupling (k) is given by
Where,
N1 and N2 is the number of turns in coil 1 and coil 2 respectively
A is the cross-section area
l is the length
Calculation:
Given,
L1 = 4mH
L2 = 9mH
k = 0.5 H
From the above concept,
M = 3 mH
Coefficient of Coupling (k):
The coefficient of coupling (k) between two coils is defined as the fraction of magnetic flux produced by the current in one coil that links the other.
Two coils have self-inductance L1 and L2, then mutual inductance M between them then Coefficient of Coupling (k) is given by
Where,
N1 and N2 is the number of turns in coil 1 and coil 2 respectively
A is the cross-section area
l is the length
Calculation:
Given,
L1 = 4mH
L2 = 9mH
k = 0.5 H
From the above concept,
M = 3 mH
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The self inductance of two coils are 4mH and 9mH respectively. If the coefficient of coupling is 0.5, the mutual inductance between the coils is _____a)6.5 mHb)18 mHc)3 mHd)12.5 mHCorrect answer is option 'C'. Can you explain this answer?
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