Inductors in parallel. Two inductors L_(1) and L_(2) are connected in parallel and separated by a large distance so that the magnetic field of one cannot affect the other. (a) Show that the equivalent inductance is given by 1/(L_(eq))=1/(L_(1))=1/(L_(2)) (Hint: Review the derivations for resistors in parallel and capacitors in parallel. Which is similar here?) (b) What is the generalization of (a) for N inductors in parallel?

Inductors in parallel. Two inductors L_(1) and L_(2) are connected in

1.	Inductors in parallel. Two inductors L_(1) and L_(2) are connected in parallel and separated by a large distance so that the magnetic field of one cannot affect the other. (a) Show that the equivalent inductance is given by 1/(L_(eq))=1/(L_(1))=1/(L_(2)) (Hint: Review the derivations for resistors in parallel and capacitors in parallel. Which is similar here?) (b) What is the generalization of (a) for N inductors in parallel?
Answer» Solution :(b) `1/(L_(EQ))=sum_(n=1)^(N)1/(L_(N))`

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