Inductors and LR Circuits Consider the following circuit. The switch has been op
ID: 1287633 • Letter: I
Question
Inductors and LR Circuits
Consider the following circuit. The switch has been open for a long time. (It may be assumed that the inductor is idea. I.E. no resistance.)
1. What is the magnitude of the current through the inductor the instant after you close the switch? (Show calculations and explain answer).
2. Is the magnitude of the current constant, increasing, or decreasing as a function of time.
Now, consider the switch (s) is closed and left closed for a very long time.
3. What is the magnitude of the current through the inductor after you wait a very long time? (show all calculations and explain your answer).
4. Is the magnitude of the current constant, increasing, or decreasing as a function of time?
Consider the circuit from above, that the switch has been closed for a very long time when you connect a wire accross the battery, as shown in the figure below.
5. What is the magnitude of the current through the inductor the instant after you connect the wire? (show all calculations and explain your answer).
6. Is the magnitude of the current constant, increasing, or decreasing as a function of time?
When considering the original circuit (without the wire acccross the battery),
7. What is the time constant for the circuit?
8. What will the magnitude of the current be in the circuit after Tau (time consant) seconds after you close the circuit?
Inductors and LR Circuits Consider the following circuit. The switch has been open for a long time. (It may be assumed that the inductor is idea. I.E. no resistance.) 5. What is the magnitude of the current through the inductor the instant after you connect the wire? (show all calculations and explain your answer). 6. Is the magnitude of the current constant, increasing, or decreasing as a function of time? When considering the original circuit (without the wire acccross the battery), 7. What is the time constant for the circuit? 8. What will the magnitude of the current be in the circuit after Tau (time consant) seconds after you close the circuit? 1. What is the magnitude of the current through the inductor the instant after you close the switch? (Show calculations and explain answer). 2. Is the magnitude of the current constant, increasing, or decreasing as a function of time. Now, consider the switch (s) is closed and left closed for a very long time. 3. What is the magnitude of the current through the inductor after you wait a very long time? (show all calculations and explain your answer). 4. Is the magnitude of the current constant, increasing, or decreasing as a function of time? Consider the circuit from above, that the switch has been closed for a very long time when you connect a wire accross the battery, as shown in the figure below.Explanation / Answer
1.
Immediately after switch is closed ,inductor acts as open circuit ,so current flowing through inductor is
IL=0 A
2.
decreasing
3.
After very long time indcutor acts as short circuit ,so current flowing through inductor is
IL=V/R =12/45=0.2667 A
4.
Increasing
5.
I=0 A
6.
Increasing
7.
T=RC =45*500*10-3
T=22.5 s
8
at t=T
I=Ioe-t/T =0.2667e-1
I=0.098 A