What is the phase difference between the flux linked with a coil rotating in a magnetic field and the…
What is the phase difference between the flux linked with a coil rotating in a magnetic field and the induced emf produced in it?
0
\(\frac{\pi}{4}\)
\(\frac{\pi}{2}\)
\(\pi\)
Solution
Magnetic flux linked with coil rotating in magnetic field \(B\) is given as
\(\phi=B A \cos \omega t\)
\(\therefore\) Induced emf, \(e=\frac{-d \phi}{d t}=-\frac{d}{d t} B A \cos \omega t\) \(=+B A \omega \sin \omega t\)
\(\Rightarrow e=B A \omega \cos \left(\omega t-\frac{\pi}{2}\right)\)
Hence, phase difference between flux linked with coil and induced emf is \(\frac{\pi}{2}\).