Learning Goal: To review the procedure for setting up and solving equations for determining current growth in an L-R circuit connected to a battery Part A Consider an L-R circuit as shown in (Figure 1). The battery provides a voltage V. The inductor has inductance L, and the resistor has resistance R. The switch is initially open as shown. At time t = 0, the switch is closed. What is the differential equation governing the growth of current in the circuit as a function of time after t = 0? (2)IP Express the right-hand side of the differential equation for in terms of I (t), V, R, and L. dt ν ΑΣφ dI(t) dt %3D Figure < 1 of 1 > I(1) R
Learning Goal: To review the procedure for setting up and solving equations for determining current growth in an L-R circuit connected to a battery Part A Consider an L-R circuit as shown in (Figure 1). The battery provides a voltage V. The inductor has inductance L, and the resistor has resistance R. The switch is initially open as shown. At time t = 0, the switch is closed. What is the differential equation governing the growth of current in the circuit as a function of time after t = 0? (2)IP Express the right-hand side of the differential equation for in terms of I (t), V, R, and L. dt ν ΑΣφ dI(t) dt %3D Figure < 1 of 1 > I(1) R
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Transcribed Image Text:Learning Goal:
To review the procedure for setting up and solving equations
for determining current growth in an L-R circuit connected to
a battery
Part A
Consider an L-R circuit as shown in (Figure 1). The battery
provides a voltage V. The inductor has inductance L, and
the resistor has resistance R. The switch is initially open as
shown. At time t = 0, the switch is closed.
What is the differential equation governing the growth of current in the circuit as a function of time after t = 0?
Express the right-hand side of the differential equation for
dI(t)
in terms of I (t), V, R, and L.
dt
ΑΣφ
dI(t)
dt
Figure
< 1 of 1
<>
I(t)
R
Transcribed Image Text:Part C
Solve the differential equation obtained in Part A for the current I (t) as a function of time after the switch is closed at t = 0.
Express your answer in terms of V, R, and L. Use the notation exp(x) for e".
ΑΣφ
I (t) =
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