Consider a 25.0 mH inductor that has a resistance of 4.00 . a) What is the chara

Question

Consider a 25.0 mH inductor that has a resistance of 4.00 .

a) What is the characteristic time constant for the inductor?

b) If it is connected to a 12.0 V battery, what is the current after 12.5 ms?

c) What is the maximum current that will run through the inductor if it is connected to a 12.0 V battery?

d) If the inductor is connected to a 2.00 in series and then connected to a 12.0 V battery, what is the current after 12.5 ms?

e) If the inductor is connected to a 2.00 in parallel and then connected to a 12.0 V battery, what is the current after 12.5 ms?

Explanation / Answer

a)Use equation

= L/R = 25*10^-3/4= 6.25*10^-3s = 6.25ms

b) I = I0e-t/T = (V/R)*e-t/T = (12/4)*e-(12.5*10^-3)/(6.25*10^-3) = 0.44 A

c)Imax = V/R = 12/4 = 3A

d) R = 4ohm + 2ohm = 6ohm

= L/R = 25*10^-3/6 = 4.16*10^-3 s

I = I0e-t/T = (V/R)*e-t/T = (12/6)*e-(12.5*10^-3)/(4.16*10^-3) = 0.1 A

e) R = 2ohm || 2ohm = 1ohm

= L/R = 25*10^-3/1 = 25*10^-3 s

I = I0e-t/T = (V/R)*e-t/T = (12/6)*e-(12.5*10^-3)/(25*10^-3) = 1.2 A

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.