A 12.0-V battery is connected into a series circuit containing a 13.0-Ω resistor and a 3.00-H inductor. (a) In what time interval will the current reach 50.0% of its final value? (b) In what time interval will the current reach 90.0% of its final value?
E = battery Voltage = 12 volts
R = resistance = 13 ohm
L = inductor = 3 H
T = time constant = L/R = 3/13 = 0.231 sec
a)
current is given as
I = Io (1 - e-t/T)
0.5 Io = Io (1 - e-t/0.231)
t = 0.16 sec
b)
current is given as
I = Io (1 - e-t/T)
0.9 Io = Io (1 - e-t/0.231)
t = 0.532 sec
A 12.0-V battery is connected into a series circuit containing a 13.0-Ω resistor and a 3.00-H...
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