GATE 2021 EE – Question 60
An air-core radio-frequency transformer as shown has a primary winding and a secondary winding. The output voltage waveform is as shown. The mutual inductance M between the windings of the transformer is ________ $\mu$H. (Round off to 2 decimal places.)
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Show answer and explanation
Correct answer: 50.00 to 52.00
Explanation
The secondary current flows through the $22\ \Omega$ load: $I=\frac{5.0}{22}=0.227$ A (peak-to-peak). The voltage across the coupled winding is $V=\omega M I$, so $\omega M=\frac{7.3}{0.227}=32.1\ \Omega$ and $M=\frac{32.1}{2\pi\times10^5}=51.1\ \mu$H.