Consider the series RLC circuit shown in Figure 1 The switch has been open for a
ID: 1938763 • Letter: C
Question
Consider the series RLC circuit shown in Figure 1 The switch has been open for a very long time and is closed at t=0. Using the component values indicated in the diagram, the differential equation for i(t) is d2i(t)/dt2+50di(t)/dt+400i(t)=0 Which of the following should be used to solve for i(t)? Explain your answer. Which of the following should be used to solve for i(t)? Explain your answer. i(t)=(k1+k2t)e-10t i(t)=e-25t[K1 cos20t + K2 sin(20t] i(t)=K1e-10t + K2e-40t Give(determine) the following i(0*) di(0*)/dt With the initial conditions you have found in (b), solve the differential equation for i(t) using Matlab.Explanation / Answer
1.(c)---K1e^-40t+k2e^-10t
2.i=0 (L is open)
d/dt(i)=V/L=10A/s