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InterviewSolution
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Define self -inductance and its `S.I.` unit. Derive an expression for self- industance of a long, air-cored solenoid of length , radius `r`, and having `N` number of turns. |
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Answer» The self inductance of a coil is equal to the induced `emf` set up in the coil, when the current passing through it change at the unit rate The `SI` unit of self inductance is henry. Self inductance of a long solenoid: Consider a long solenoid of length `l` number of turns `N` and radius.Suppose current `I` flows though it.Magnetic field set up in the coil is `B=(mu_(0)NI)/l` Flux through each turn=`BA=(mu_(0)NI)/l` But `phi=Li` `phi=(Nxxmu_(0)NI)/l =(mu_(0)N^(2)IA)/l` `therefore` Self inductance `L=phi/I=(mu_(0)N^(2)A)/l` |
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