Inductors in series. Two inductors L1 = 1.05 H and L2 = 2.07 H are connected in series and are separated by a large distance so that the magnetic field of one cannot affect the other. (a) Calculate the equivalent inductance. (Hint: Review the derivations for resistors in series and capacitors in series. Which is similar here?) (b) What is the generalization of (a) for N = 30 similar inductors L = 3.03 H in series?

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Physics

Gabriel

1 December, 11:33

Inductors in series. Two inductors L1 = 1.05 H and L2 = 2.07 H are connected in series and are separated by a large distance so that the magnetic field of one cannot affect the other. (a) Calculate the equivalent inductance. (Hint: Review the derivations for resistors in series and capacitors in series. Which is similar here?) (b) What is the generalization of (a) for N = 30 similar inductors L = 3.03 H in series?

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Aimee Ramos · Answer 1

The inductance of several inductors in series is the sum of all the individuals ... just like for resistors.

a). With 1.05H and 2.07H in series, the equivalent total inductance is 3.12H, provided the inductors can't influence each other with their magnetic fields.

b). If you had 30 identical inductors in series, each with inductance of 3.03H, AND none of them could influence any other ones with their magnetic fields, their combined equivalent inductance would be

(30) · (3.03H) = 90.9 H.