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(a) Calculate the self-inductance of a s...

(a) Calculate the self-inductance of a solenoid that is tightly wound with wire of diameter `0.10 cm`, has a cross-sectional area `0.90 cm^2` and is `40 cm` long
(b) If the current through the solenoid decreases uniformly from `10` A to `0 A` in `0.10 s`, what is the emf induced between the ends of the solenoid?

Text Solution

Verified by Experts

a.
`L=(mu_0N^2S)/l`
`N=1/d`
`:. L=(mu_0lS)/d^2=((4pixx10^-7)(0.4)(0.9xx10^-4))/((0.1xx10^-2)^2)`
`=4.5xx10^-5H`
b. `e=|L=(/_\i)/(/_\t)|=((4.5xx10^-5)(10))/0.1=4.5xx10^-3V`
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