Question
Download Solution PDFTwo coupled coils with L1 = L2 = 0.5 H have a coupling coefficient of K = 0.75. The turn ratio N1/N2 =?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
\(L = \frac{{{\mu _0}{N^2}A}}{l}\)
The self-inductance of a coil is given by
Where L is the self-inductance
N is the number of turns
A is the cross-sectional area
l is the length
Calculation:
The self-inductance is proportional to the square of the turns in a coil i.e. L ∝ N2
\(\Rightarrow \frac{{{L_1}}}{{{L_2}}} = \frac{{N_1^2}}{{N_2^2}}\)
Given that L1 = L2 = 0.5 H
⇒ N1 / N2 = 1
Last updated on Jun 16, 2025
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