After t = 0, the current through the inductor decreases exponentially with time. In general, the current I (t) flowing in an L-R circuit at time t after the voltage source is removed is given by I(t) = Ioe-t/T, where I is the current through the inductor at t=0 when the voltage source is removed, and is the time constant characteristic of the circuit. ▼ Part B What is the current I(7) that flows through the inductor one time constant after the voltage source is removed? Express your answer in amperes.

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I am working on physics homework and am stuck on this one! Help would be great, thank you!

A DC voltage source provides a voltage V = 12.0 V and is
connected to a resistor of resistance R = 150 and an ideal
inductor with inductance L, forming the circuit shown in the
figure. (Figure 1) For a long time, the switch has been in the
position shown, so that a constant current has been built up
in the circuit by the voltage source. At t 0 the switch is
thrown open to remove the voltage source from the circuit. At
time t after t = 0, the current through the inductor and the
voltage across the inductor are given by, respectively, I (t)
and V (t).
-
Figure
1(1)
R
1 of 1
=
After t 0, the current through the inductor decreases exponentially with time. In general, the current I (t) flowing in an L-R circuit at time t after the
voltage source is removed is given by
I(t) = Ioe-t/T,
where I is the current through the inductor at t = 0 when the voltage source is removed, and is the time constant characteristic of the circuit.
Part B
What is the current I(7) that flows through the inductor one time constant after the voltage source is removed?
Express your answer in amperes.
► View Available Hint(s)
I(T) =
Submit
ΠΙ ΑΣΦ
?
A
Transcribed Image Text:A DC voltage source provides a voltage V = 12.0 V and is connected to a resistor of resistance R = 150 and an ideal inductor with inductance L, forming the circuit shown in the figure. (Figure 1) For a long time, the switch has been in the position shown, so that a constant current has been built up in the circuit by the voltage source. At t 0 the switch is thrown open to remove the voltage source from the circuit. At time t after t = 0, the current through the inductor and the voltage across the inductor are given by, respectively, I (t) and V (t). - Figure 1(1) R 1 of 1 = After t 0, the current through the inductor decreases exponentially with time. In general, the current I (t) flowing in an L-R circuit at time t after the voltage source is removed is given by I(t) = Ioe-t/T, where I is the current through the inductor at t = 0 when the voltage source is removed, and is the time constant characteristic of the circuit. Part B What is the current I(7) that flows through the inductor one time constant after the voltage source is removed? Express your answer in amperes. ► View Available Hint(s) I(T) = Submit ΠΙ ΑΣΦ ? A
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