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Physics - EMI/AC Question with Solution | TestHub

PhysicsEMI/ACSelf and mutual inductorMedium2 minPYQ_2013

PhysicsMediumsingle choice

Two solenoids of equal number of turns having their length and the radii in the same ratio $1 : 2$ . The ratio of their self-inductance will be

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Solution:

For solenoids, self inductance is given by, $L = \frac{μ _{0} N ^{2} A}{l}$ $∴ \frac{L _{1}}{L _{2}} = \frac{( \frac{π r _{1}^{2}}{l _{1}} )}{( \frac{π r _{2}^{2}}{l _{2}} )} = \frac{( \frac{r _{1}^{2}}{l _{1}} )}{( \frac{r _{2}^{2}}{l _{1}} )}$ or $\frac{L _{1}}{L _{2}} = \frac{1}{2} (∵ \frac{r _{1}^{2}}{l _{1}} / \frac{r _{2}^{2}}{l _{2}} = 1/2)$

Stream:AIIMSSubject:PhysicsTopic:EMI/ACSubtopic:Self and mutual inductor

⏱ 2mℹ️ Source: PYQ_2013

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