Vbatt 12 V R L 0.5 H iL t=0s + 502 R = 1 Ω C VC 2 F
Chapter19: Special-purpose Outlets-water Pump, Water Heater
Section19.2: Water Heater Branch Circuit
Problem 8R: For residential water heaters, the Consumer Product Safety Commission suggests a maximum temperature...
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Question
Find iL(0+), vC (0+), diL/dt|t=0+, dvC/dt|t=0+, vC(t). Sketch vC(t) for -0.1 < t < 2 s
A.Draw the equivalent circuit at t = 0- s to find iL(0-) and vC(0-).
B.Draw the equivalent circuit at t = 0+ s with iL(0+) and vC(0+) to find the desired voltages, currents and/or derivatives.
C.Calculate a and w0 and determine type of damping and the form of the solution. If underdamped, calculate wd.
D.Use the initial conditions to determine A1 and A2.
E.Solutions! Sketch vC(t) for -0.1 < t < 2 s.
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