You want to charge a 58.9H inductor, and it is connected in series with a 20.6V battery and a 7.5Ω resistor. After 20 hours of being connected, what is the energy stored in the inductor's magnetic field?
a) 35.55 J
b) 22.22 J
c) 44.44 J
d) 133.31 J
e) 222.18 J
Ans:(b) 222.18 J
Explanation:
We know the current at a time t in an inductor is given as
After a long time ( t=20 h) , the current will be
V =20.6 V , R =
Energy stored in the inductor's magnetic field is
Energy stored in the inductor's magnetic field is 222.18 J.
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