1. For the circuit at right: a) Find the characteristic equation of the circuit at right. b) Find...
Problem 1 (10 points): The switch in the circuit of Fig. 1 has been in position a for a long time. Att 0, the switch moves to position b 1. (4 points) Construct an s-domain circuit for t> 0 2. (4 points) Find Vo(s) and vo(t) for t> 0 3. (2 points) Find IL(s) and iL () fort > 0. t-0 Ri R2 R1 = 400 ohms, R2 = 1000 ohms, C = 6.25 nF L 16 mH, and vg-360...
For the circuit shown, find the following: a) v(0+), the voltage across the capacitor right after the switch closes. b) v), the voltage across the capacitor after the switch has been closed for a long time. c) v(T), the voltage across the capacitor after one time constant. 2. 3 S2 I(t) 12 V+ 6 Ω 0.5 F u(t) 3. For the circuit above, write the differential equation for t > 0.
2. The switch in the circuit shown in Figure 1 has been in position 'a' for a long time. At t=0, the switch moves instantaneously to position b. a) Find the numerical expression for io(t) when t > 0. b) Find the numerical expression for volt) fort > 0 1 = 0 b! 51 602 45 A 2150 vo 20 10 mH 240 V 1
(1) Consider the RC circuit shown in Figure 1. For t<0 the switch is open, and the charge stored on the capacitor is 0. At t-0 the switch is closed, and the voltage source begins charging the capacitor. Let R1-R2-220 Ω , C-0.47 μ F , Vs-5 V. (a) Write the differential equation as an expression for the capacitor voltage fort> 0 (i.e. write the differential equation) and calculate the time constant (b) Calculate the steady-state capacitor voltage R2 R1...
2 First-Order RC Circuit: Natural Response The switch in the circuit in Figure 2 has been in position for a long time. At t = 0, the switch moves to position (the switch opens) and stays there. Assuming that V. > O for the constant voltage source, (a) find vc(0-), vc(0+), ic(0-), and ic(0+); (b) find vc(t) when t 20 (if you want, you can write vo(t) by circuit inspection; you don't need to show the differential equation); and (c)...
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...
In the following circuit find: Please provide explanation also! 4. Ia the following circuit, the capacitor begins uncharged. At t-0, the switch is cloeed to position 1. SHOW ALL WORK (a) How much time does it take for the capacitor to be charged to 18 V? 2k Ohms 2 42 nf 22 V 3k Ohms t=1.432 × 10-48 (b) After a long time, the switch is switched to position 2. What is the current through the 3 k12 resistor just...
1. A paralll RLC circuit consists of a A series RLC circuit consists of the same 5000 Ω resistor, 1.25 H inductor, and 8 nF capacitor. a) Find the roots of the characteristic 2. 5000 Ω resistor, a 1.25 H inductor, and an 8 nF capacitor. a) Find the roots of the characteristic equation equation b) Is the response over-damped or b) Is the response over-damped or under-damped? under-damped? c) How would you need to change the resistance to get...
Question 2. The switch in the circuit below has been in position a for a long time. At t = 0, the switch moves instantaneously to position b. Find (a) i(0) (b) v.(0) di(0+) (c) dt (d) S1, S2 (e) i(t) fort 20 9 k ao obam 6 802 5 mH + i=0 315L0 ( 80V 100 V v2uF
7.36 The switch in the circuit shown in Fig. P7.36 has PSPICE been in position a for a long time. At t=0, the MULTISIM switch moves instantaneously to position b. a) Find the numerical expression for it) when 120. b) Find the numerical expression for v.) for t2 01. Figure P7.36 1=0 ь 102 312002 50A 380 V.3 402 40 mH 800 V