Question
Download Solution PDFThe self-inductance of the coil depends on ______.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Self inductance is defines as the induction of a voltage in a current-carrying wire when the current in the wire itself is changing. Self-inductance of a coil is numerically equal to the amount of magnetic flux linked with the coil when unit current flows through the coil.
According to Faraday's law,
- \(E=-L\frac{dI}{dt}\)
where, E is E.M.F. of and L is self inductance and \(\frac{dI}{dt}\) is rate of change of current.
Also, \(E=-\frac{d\phi}{dt}\)
- \(\implies-\frac{d\phi}{dt}=-L\frac{dI}{dt}=\frac{d(NBA)}{dt}=L\frac{dI}{dt}\)
- \(\frac{d(NBA)}{dt}=-L\frac{dI}{dt}\)
- \(\frac{d(NBA)}{dt}=L\frac{dI}{dt}\)
So, self inductance is directly proportional to area of the coil,\(L\propto BA\)
Hence, the correct answer is Option-3-the area of the coil.
Last updated on May 26, 2025
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