A battery is connected in series with a 0.32-O resistor and an inductor, as show

Question

A battery is connected in series with a 0.32-O resistor and an inductor, as shown in the figure below. The switch is closed at t = 0. The time constant of the circuit is 0.14 s, and the maximum current in the circuit is 8.3 A.

A) Find the emf of the battery ________V
B) find the inductance of the circuit _______mH
C) find the current in the circuit after one time constant has elapsed _____A
D) find the voltage across the resistor after one time constant elapsed _____V
E) find the voltage across the inductors after one time constant has elapsed ____V

Explanation / Answer

time constant, = L/R = 0.14

so, L = 0.14*.32 = 0.045 ohm

A) emf = 8.3*.32 = 2.66V

B)inductance = 0.045 ---->calculated above

C) current = 8.3*(1- e^-1) = 5.25 A

D)V = 5.25*.32 = 1.68V

E) V = 0.98V

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