You have a 50mH coil connected in series with a 5killi-ohm resistor, knife switc

Question

You have a 50mH coil connected in series with a 5killi-ohm resistor, knife switch, and a 15V battery. Determine the following:
A) time constant B) Current at time t C) Time it takes the current to reach 95% of its maximum value You have a 50mH coil connected in series with a 5killi-ohm resistor, knife switch, and a 15V battery. Determine the following:
A) time constant B) Current at time t C) Time it takes the current to reach 95% of its maximum value You have a 50mH coil connected in series with a 5killi-ohm resistor, knife switch, and a 15V battery. Determine the following:
A) time constant B) Current at time t C) Time it takes the current to reach 95% of its maximum value

Explanation / Answer

a) time constant = L/R = 50*10^-3/5*10^3 = 10*10^-6 sec

b) current = V/R*(1-e^-tR/L)

i = 0.95 i0

c) V/R = i0

1-e^-tR/L = 0.95

e^-tR/L = 0.05

e^tR/L = 20

tR/L = ln(20)

t = 748.9 sec

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