7. Given the circuit below. The switch has been opened for a very long time. At...
do not use s domain method ,use only differential equation 3. In the circuit shown, switch 1 has been closed for a long time before it is opened at t 0, and switch 2 has been opened for a long time before it is closed at t = 0. SW2 sw, 0.5Ω R2 1(2 A, 20 A i(t) 0.5 H a. Find the initial voltage v(O)- Vo across the capacitor and initial current through the inductor (0) lo at t...
Q3. In the circuit shown below, switch S has been closed for a very long time and it is opened at t = 0. Find the solution for the current i(t) passing through the inductor. Q4. In the circuit shown, the initial capacitor voltage is v(0) =5 V. (a) Find the capacitor voltage v(r) for t > 0. (b) Find the current io(t).
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 ≤...
Problem 4 In the circuit shown below, the switch has been opened for a very long time prior to t= 0 and closes at t = 0 and remains closed for a long time. Please find: a) i (0), vc(ot), b) the steady-state voltage across the capacitor in terms of Us, Rı, and R2 c) the steady state current through the inductor in terms of Us, Ry, and R2 d) Write the differential equation for it) in terms of Vs,...
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?
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...
The switch in the following circuit has been open for a long time and is closed at t=0. Find the constants A, B, a, ß and w in the expression of the current il(t) through the inductor L fort > 0. Is = 3A IL (t) = Aeat + Beßt coswt A Vil(t) ŽR=150 L=15 H Cap t= 0 < (Limit your answer to 3 decimal places) (5 Marks) (5 Marks) (5 Marks) (5 Marks) (5 Marks) 0 3
9. Consider the RL circuit given in the figure. The switch is opened at time t = 0 after it had been closed for a long time. a) How long will it take for the current in the inductor to drop to 25% of its initial value? b) How long will it take for the energy in the inductor to drop to 25% of its initial value? Switch 200 unit of L my i 3150 80.5H BS 12 V
13. In the given circuit, the switch has been closed for a long time prior to t=0, then it opens at t = 0 and closes again at t = 1s. Find iz(t) for all t. 232 w 212 WW
Question 2: For the circuit shown, the switch was closed for long time, then opened at t-Q. find for all time t a) The current in the inductor i(t) b) The voltage across the inductor vult) 10? t 0 50 i 20 40 V 10?