A solenoid is 65 cm long and has a cross sectional area of 30cm^2. The 23.2 mH i

Question

A solenoid is 65 cm long and has a cross sectional area of 30cm^2. The 23.2 mH inductor is wound with N loops of wire.

A)How many loops are required to make this inductor?

B) The resistance of the solenoid wire is 2 ohms. If the inductor is connected across a 12 volt battery, how long will it take the current to reach 95% of its final value?

C) Now consider the RL circuit with R1= 180 ohm, L= 2.5H and emf = 45V

What is the current through the resistor R1 immediately after the switch is closed? What is the current through resistor R1 a long time after the switch is closed?

Explanation / Answer

A)   N^2 = L*Ln/(uo*A)

= (23.2*10^-3*0.65)/(4pi*10^-7*30*10^-4)

N = 2000 turns

B) R = 2 ohm, V = 12 V, t = ?

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