The switch in the following circuit has been open for a long time and is closed...
2. In the following circuit, switch A has been open and switch B closed for a long time. Att0, switch A closes but switch B remains closed. One second later (t1s), switch B finally opens. Using the unit step function, write one expression for i(t) for t20. 1.25u(t)-1.25(1-e-20u(t-1) Hint: remember time shift de signations in your exponentials L(t) 4Ω is 5V (+ 10 mH L(0)s 1.25A L(t) [0-1 s] =-125e-200t L(1)-1.25A IL(t) 1.25e-200(1-1) t>1
1. In the circuit to the right, the switch has been open for a long time before it is closed at time t-0 a) Find an expression for the current in the inductor as a function of time, showing the direction clearly. b) Find an expression for the current supplied by the battery as a function of time. 2R
3. The switch has been open a long time before closing at t = 0. Find the initial and final energy stored in the inductor. Determine i(t) and v(t) fort > 0*. t = 0 1092 to i(t) 2A @ 500 FT VIC 30.4 mH 2.503 14 4. The switch has been closed a long time before opening at t = 0. Find il(t) and vc(t) fort > 0*. 2012 t = 0 vc(t) 4092 4uF 60V 3 10 mH...
For the next set of questions, consider the following circuit. The switch has been open for a long time. At t=0, it is closed. t=0 11 R1 3 1 3 C c IL R2 3 V = Assume the following values: 11=5mA 12=10mA R1=2K R2=2k L1=10mH C1 = luF Find the following: a) 11(0), the initial current through the inductor (in mA): b) The final current thru the inductor after the switch has been closed for a long time (in...
1.(20 pts) The switch in the circuit shown below has been closed for a long time before it is opened at -0. (a) Is this RL or RC switching circuit. (b) Is this Natural or Step Response for t0? (c) Find veo'). (d) What is the time constant t of the circuit for t0? (e) Find Vco). (1) Write the expression for vct) fort >0. (g) Write the expression for ict) fort >0. (h) Write the expression for i(t) fort...
The switch has been open for a long time before being closed at t = 0. Find the initial value i (0) and the time constant of the RL circuit for t>O. 212 240 Xt=0 381 0.4 H 4. The switch has been closed for a long time and is opened at t = 0. Find (a) i (0) and i (0*); 102 50 2 (b) i(t) fort >0; (c) (t) at t = 5 ms. 100 V + 3...
Consider the circuit depicted in Fig. 2. The switch SW1 has been closed for a long time before it is opened at time t = 0. The switch SW2 has been open for a long time before it is closed att = 0.1 (sec). i) Find the initial current I(0) flowing in the inductor and the initial voltage V(0) across the capacitor. ii) Find the voltage V(t) across the capacitor and the current I(t) through the inductor for 0 ≤ t ≤...
The switch in the circuit below has been open for a long time, It is closed at time t=0 Give the value of decor the rate of change of the current at t=0t, 347A 360 = 1F SY
The switch sl has been open and switch s2 is closed. for a long time (Fig. 2) At t= 2 seconds, S2 is opened. Determine ict) fort>o. *=2 O 0 4or 40V ilt)
The switch in the circuit has been closed for a long time and is opened at t = 0. a. Calculate the initial value of I b. Calculate the initial energy stored in the inductor. c. What is the time constant of the circuit for t ≥ 0? d. What is the numerical expression for i() for t20? e. What percentage of the initial energy stored has been dissipated in the 4 Ω resistor 5ms after the switch has been opened?