he circuit has a 30mA current source in parallel with a 1kΩ and then is connected through a switch with a circuit that is made of a 9kΩ in series with a 10Ω in parallel with an unspecified inductance L. The switch is closed for a long time for the current source to supply power to charge up the inductor. You understand that a steady current is now through the inductor, since there is a maximum amount of energy to be stored in the inductor in this circuit. Now the switch is opened. Let us call that time t = 0. After that time the inductor circuit is no longer connected to the current source. Its energy, as determined by its current, will be dissipated. A). Find the value of inductance L such that the inductor current decays with a time constant of 1 ms. Recall that we define the time constant associated with a time function on an exponential decay associated with e^− t/τ where τ is call the time constant of the decay. B. Draw the graphs of the voltage across the inductor and the 10Ωresistor
Hello, I keep getting lost in the middle of this problem. I appreciate any help and advice. Thank you for your time.
The circuit has a 30mA current source in parallel with a 1kΩ and then is connected through
a switch with a circuit that is made of a 9kΩ in series with a 10Ω in parallel
with an unspecified inductance L. The switch is closed for a long time for the
current source to supply power to charge up the inductor. You understand that
a steady current is now through the inductor, since there is a maximum amount
of energy to be stored in the inductor in this circuit.
Now the switch is opened. Let us call that time t = 0. After that time the
inductor circuit is no longer connected to the current source. Its energy, as
determined by its current, will be dissipated.
A). Find the value of inductance L such that the inductor current decays with
a time constant of 1 ms. Recall that we define the time constant associated
with a time function on an exponential decay associated with e^− t/τ where
τ is call the time constant of the decay.
B. Draw the graphs of the voltage across the inductor and the 10Ωresistor
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images