Question 5
Consider the circuit below with a switch that opens at t=0. Using this circuit, answer the following:
1. What is the voltage across the capacitor before the switch opens?
Answer: V
2. What is the current through the inductor before the switch opens?
Answer: A
3. What is the characteristic equation of the this circuit using the current through the inductor as the variable of interest?
Answer Format:
Answer: M = , N=
Example: If your determined characteristic equation is then M = 1.23E0 and N = 5.00E0
4. What are the roots of this characteristic?
Answer Format:
Answer: P = , Q = .
Example: When entering your answers, organize your roots so that s1 is the smallest root. If your determined roots are -2.3789 and -10, P = -1.00e1 and Q=-2.38e0
5. What is the expression for the current through the inductor for all t > 0?
Answer Format:
Answer: X = , Y = , Z =
Example: If your determined current is then X = 1.23E4, Y = 6.78E1, and Z = 7.89E1