Problem 7-1. For the circuit shown in figure P7-1, find v₁(0-), v₁ (0+), v₁ (∞), vc (0¯), vc(0+), vc(∞), i(0-), i(0+), i (∞), and di/dt|t=0+. Determine v₁ (t), vc(t) and i(t) for t≥ 0+. Calculate the initial and final energy stored in the capacitor. Assume that the switch has been in its starting position for a long time before moving at t = 0. 125mH i(t) + VL(t) t = 0 2500Ω ww 60V 0.125μF HE + Vc(t) 1250Ω
Problem 7-1. For the circuit shown in figure P7-1, find v₁(0-), v₁ (0+), v₁ (∞), vc (0¯), vc(0+), vc(∞), i(0-), i(0+), i (∞), and di/dt|t=0+. Determine v₁ (t), vc(t) and i(t) for t≥ 0+. Calculate the initial and final energy stored in the capacitor. Assume that the switch has been in its starting position for a long time before moving at t = 0. 125mH i(t) + VL(t) t = 0 2500Ω ww 60V 0.125μF HE + Vc(t) 1250Ω
Introductory Circuit Analysis (13th Edition)
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Transcribed Image Text:Problem 7-1. For the circuit shown in figure P7-1, find v₁(0-),
v₁ (0+), v₁ (∞), vc (0¯), vc(0+), vc(∞), i(0-), i(0+), i (∞), and di/dt|t=0+.
Determine v₁ (t), vc(t) and i(t) for t≥ 0+. Calculate the initial and final energy
stored in the capacitor. Assume that the switch has been in its starting position for
a long time before moving at t = 0.
125mH
i(t)
+ VL(t)
t = 0
2500Ω
ww
60V
0.125μF
HE
+
Vc(t)
1250Ω
ww
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Step 1: Summarize the data.
VIEWStep 2: Determine the values of voltages and currents at t = 0-.
VIEWStep 3: Determine the values of voltages and currents at t = 0+.
VIEWStep 4: Determine the values of voltages and currents at t = infinity.
VIEWStep 5: Determine the differential equation for t > 0.
VIEWStep 6: Determine the expressions of i(t), VC(t) and vL(t).
VIEWStep 7: Determine the initial and final energy in the capacitor.
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