A battery is connected in series with a 0.29-O resistor and an inductor, as show

Question

A battery is connected in series with a 0.29-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 0.16 s, and the maximum current in the circuit is 8.2 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 has elapsed.
V

(e) Find the voltage across the inductor after one time constant has elapsed.
V

Explanation / Answer

a) 8.2 A*0.29 =2.378 V

b) L/R=0.16 sL=0.29 *0.16 s=46.4 mH

c) 8.2*(1-e-0.16.0.16)=5.18 A

d) 5.18 A*0.29 =1.503 V

e) VL=5.18*e-0.16/0.16=1.91 V

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