For the circuit, assume that switch 1 is initially closed for a long time while switch 2 is initially open.

Transcribed Image Text:

Switch 2 +VL - 100.2 t=0 t=to 0. 1H Switch 1 10mA 60.2 VR 5V totik 40L For the circuit above, assume that switch 1 is initially closed for a long time while switch 2 is initially open. Determine the expressions for i, (t), v, (t), i (t) and vz (t) for all time t. Let t, = 50ms. Answer the following: For time 0 <t<t1: 1 Draw the equivalent circuit at t<0. 28 Draw the equivalent circuit at 0<t<t1. iz at t = 0- 29 What is the equivalent resistance seen at the inductor terminals? 3 Vi at t = 0- 30 Time constant =? 4 ir at t = 0- 31 -t Let i (t) = (Ae T +iLf) A; What is the value of "iLf"? VR at t = 0- 32 Let i (t) (AeT +iLf) A; What is the value of "A"? iz at t = 0+ -t 33 Let vi (t) = (BeT + vLf) V; What is the value of 7 Vi at t = 0+ "ViF"? 8. ir at t = 0+ 34 -t Let vz (t) = (Be + vif) V; What is the value of "B"? Ве VLf 9 VR at t = 0+ (co 35 10 dil at t = 0+ dt Let ir (t) = (CeT +iRf) A; What is the value of "igf"? Determine 36 11 i, at t = 0.03s Let ir (t) = (Ce + iRf) A; What is the value of "C"? 37 -t Let vr(t) = (DeT + Vrf) V; What is the value of "VRF"? 12 vi at t = 0.03s 13 ir at t = 0.03s 38 -t 14 VR at t = 0.03s Let vR (t) = (DeT + vrf) V; What is the value of "D"? 15 i, at t = 0.05s- For time t > t1: 16 vi at t = 0.05s 39 Draw the equivalent circuit at t>t1. 17 ir at t = 0.05s- 40 What is the equivalent resistance seen at the inductor terminals? 18 VR at t = 0.05s 41 Time constant =? 19 i̟ at t = 0.05s+ 42 Let i (t) = (AeT +i) A; What is the value of "İLf"? 20 v, at t = 0.05s+ 43 Let i (t) = (Aet + İLf) A; What is the value of "A"? 21 ir at t = 0.05s+ 44 -t Let vi (t) = (BeT + vif) V; What is the value of 22 VR at t = 0.05s+ "VLf "? 23 Determine at t = 0.05s+ 45 24 i, at t = 55ms Let vz (t) = (Bei+ vLf) V; What is the value of "B"? 25 v, at t = 55ms 46 Let ir (t) = (Cei +iRf) A; What is the value of "igf"? 26 ir at t = 55ms 47 Let iR (t) = (Ce + irr) A; What is the value of "C"? 27 VR at t = 55ms 48 Let vR (t) = (De + vr) V; What is the value of + VRf "VRf"? 49 Let vr(t) = (Det + vrs) V; What is the value of "D"? VRf 50 How many seconds after the switches change position does the inductor current reaches 95% of its final or steady-state value? Switch 2 +VL - 100.2 t=0 t=to 0. 1H Switch 1 10mA 60.2 VR 5V totik 40L For the circuit above, assume that switch 1 is initially closed for a long time while switch 2 is initially open. Determine the expressions for i, (t), v, (t), i (t) and vz (t) for all time t. Let t, = 50ms. Answer the following: For time 0 <t<t1: 1 Draw the equivalent circuit at t<0. 28 Draw the equivalent circuit at 0<t<t1. iz at t = 0- 29 What is the equivalent resistance seen at the inductor terminals? 3 Vi at t = 0- 30 Time constant =? 4 ir at t = 0- 31 -t Let i (t) = (Ae T +iLf) A; What is the value of "iLf"? VR at t = 0- 32 Let i (t) (AeT +iLf) A; What is the value of "A"? iz at t = 0+ -t 33 Let vi (t) = (BeT + vLf) V; What is the value of 7 Vi at t = 0+ "ViF"? 8. ir at t = 0+ 34 -t Let vz (t) = (Be + vif) V; What is the value of "B"? Ве VLf 9 VR at t = 0+ (co 35 10 dil at t = 0+ dt Let ir (t) = (CeT +iRf) A; What is the value of "igf"? Determine 36 11 i, at t = 0.03s Let ir (t) = (Ce + iRf) A; What is the value of "C"? 37 -t Let vr(t) = (DeT + Vrf) V; What is the value of "VRF"? 12 vi at t = 0.03s 13 ir at t = 0.03s 38 -t 14 VR at t = 0.03s Let vR (t) = (DeT + vrf) V; What is the value of "D"? 15 i, at t = 0.05s- For time t > t1: 16 vi at t = 0.05s 39 Draw the equivalent circuit at t>t1. 17 ir at t = 0.05s- 40 What is the equivalent resistance seen at the inductor terminals? 18 VR at t = 0.05s 41 Time constant =? 19 i̟ at t = 0.05s+ 42 Let i (t) = (AeT +i) A; What is the value of "İLf"? 20 v, at t = 0.05s+ 43 Let i (t) = (Aet + İLf) A; What is the value of "A"? 21 ir at t = 0.05s+ 44 -t Let vi (t) = (BeT + vif) V; What is the value of 22 VR at t = 0.05s+ "VLf "? 23 Determine at t = 0.05s+ 45 24 i, at t = 55ms Let vz (t) = (Bei+ vLf) V; What is the value of "B"? 25 v, at t = 55ms 46 Let ir (t) = (Cei +iRf) A; What is the value of "igf"? 26 ir at t = 55ms 47 Let iR (t) = (Ce + irr) A; What is the value of "C"? 27 VR at t = 55ms 48 Let vR (t) = (De + vr) V; What is the value of + VRf "VRf"? 49 Let vr(t) = (Det + vrs) V; What is the value of "D"? VRf 50 How many seconds after the switches change position does the inductor current reaches 95% of its final or steady-state value?