Chapter 8 Solutions - Soln0853 050416

Transcript

Chapter 8, Solution 53. At t<0, i(0  )  0, vc(0  )  120V For t >0, we have the circuit as shown below. 80  i 120 V + _ 120  V dv C i R dt 10 mF   120  V  RC di dt Substituting (2) into (1) yields di d2 i 120  L  RCL 2  iR   dt dt or But dv  iR dt vL  v  L 0.25 H (1) (2) 120  1 di 1 d2 i  80 x x10 x10 3 2  80i 4 dt 4 dt (d2i/dt2) + 0.125(di/dt) + 400i = 600