For the circuit of Fig. 1, the switch has been connected to charge C for a...
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 closed for a very long time. 2. a. What is the voltage across the capacitor? b. If the switch is opened, what is the time constant for discharging the capacitor? c. how long does it take the capacitor to discharge to 1/10th of its initial voltage? R1 = 1.00 Ω R2 = 8.00 Ω R3 = 4.00 Ω R4 = 2.00 Ω C = 1.00 μF Battery = 10.0 V R2 R4
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...
Q-1, 15 Marks] In the circuit of Fig.1 the switch (Sw) is closed to ground for a long time and opened at t = 0 s. 1. Find the voltage on the capacitor at a time of 1 s 2. Is the voltage on the capacitor at 1 s greater than or less than the voltage on the capacitor at time too s Data: V-10 V (DC and polarity as in Fig. 1), R= 1 Ω , L-1 H, C=...
4. a. For the circuit to the left, switch 1000 2 assume the switch has been closed for a very long time; calculate the voltage across the capacitor. Show your work. 10.0 μF 24.0 2000 Ω b. Att- 0s, the switch is opened. At t 0.022 s, what is the voltage across the capacitor? Show your work 1000 Ω
The switch in the circuit has been closed for a long time before it is opened at t = 0a) io(t) for t ≥ 0+b) vo(t) for t ≥ 0+, where vo is the voltage drop across the 54 Ω resistor.c) The total energy stored in the 0.5 H inductor that is dissipated in the 26 Ω resistor
3- (12 pts) in the circuit below, switch Si has been connected to position A FOR A LONG TIME. At time to, S1 IS CONNECTED TO position B. Resistor values are in Ohms. a) Find the initial voltage across the capacitor before to. b) Find the voltage across the capacitor a long time after to. c) Find the circuit time constant fort > to. d) Find the equation for the voltage across the capacitor fort > to >200 2.5LF
The switch in the circuit shown in Fig. Shown has been in position a for a long time. At t-o the switch is moved to position b. a) What is the initial value of vc? b) What is the final value of vc? c) What is the time constant of the circuit when the switch is in position a? d) What is the expression for vc(t) when t > 0? 80 V 315 kn 100 V 2F What is the...
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...
Consider the circuit shown in Fig. 1 with Vs=10V. Assume there is no initial energy stored in the circuit, and the switch S was opens for a long time and it closes at time t-0 second. 1. For each of the following cases, find the expression of the voltage across the capacitor, Vt) for t 0: (a) R-5 k2, L-22 mH, and C 22 nF (b) R-0.5 kQ, L=22 mH, and C-22 nF IfL and C are the same as...