Question
Download Solution PDFFor magnetically isolated coils, the value of coefficient of coupling is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCoefficient 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
\(k=\frac{M}{\sqrt {L_1L_2}}\)
Where,
\(M=\frac{\mu_o \mu_rN_1N_2A}{ l}\)
\(L_1=\frac{\mu_o \mu_rN_1^2A}{ l}\)
\(L_2=\frac{\mu_o \mu_rN_2^2A}{ l}\)
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
For fully Coupled Coil:
k = 1
For magnetically Isolated Coil:
k = 0
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