2. Write the equation describing the voltage across the capcitor in the following circuit. Use LT...
3. Write the equations describing the voltage across the capacitor, Vc, in the following circuits for both the rising and falling edges of the input pulse. Again, use LTspice to verify your answer. (4 points) R1 1.5k V2 C1 100pF PULSE(0 5 100n 1n 1n 1u) .tran 2u 4. Repeat problem 3 if the resistor and capacitor positions are swapped. (4 points) 3. Write the equations describing the voltage across the capacitor, Vc, in the following circuits for both the...
Derive a solution for the voltage across the capacitor C1 in Fig. 1 as a function of time from t 0 ms to t 125 ms if the switches are controlled as shown in Fig. 2. The initial capacitor voltage is -9 V. Show all of your work. 1. S4 R3 R1 S1 V1+ C1+ R2 V2+ yti Fig. 1. Switched RC circuit. V1-9 V, V2--15 V, R14.7 k2, R2-3.3 kQ, R3 2.2
Problem 1. For a transient RC circuit: a) Write the equation that relates the voltage across the capacitor to the time for a charging capacitor. Sketch the graph b) Write the equation that relates the voltage across the capacitor to the time for a discharging capacitor. Sketch the graph
Deriver an expression for the voltage drop across the capacitor in Figure I, for two cases. a. The source has been off for a long time and is "turns on" at t = 0 (ie, the source changes from 0 V to 5 V at t-0 and remains on indefinitely). b. The source has been on for a long time and is "turns off" att 0 (i.e. it changes from 5 V to 0 V at t -0 and remains...
1. Derive the equivalent voltage-division equation for the series capacitors C1 and C2 in the Figure below. Assume that the capacitors had no charge on them before they were connected to the voltage source. V1 911191 Ci 921+ + V2 I C2 -92 2. Relate Vout to vi in the circuit below. Assume vc = 0 att = 0. R 11 in = 0 vom on One - Vout
An RLC circuit has an initial voltage across the capacitor and polarity as marked on the circuit shown below. The switch is closed at t = 0 and a current i(t) is assumed to flow clockwise in the circuit. Determine which expression correctly represents the Laplace-transformed value of current, i(s). Note that the coefficient of the highest power of s in the denominator may have to be made unity. (TCO 2) An RLC circuit has an initial voltage across the...
In the circuit below, use the method of your choice to compute the voltage drop across the 5 Ohm resistor. 2 A R3 20 Ohms R2 10 Ohms +V1 V2 R1 5 Ohms 12 V 6 V QUESTION 10 In the previous problem, suppose that R1 is a "load". Compute the Thevenin equivalent resistance of the remaining circuit.
3. (Bonus) Determine a state variable model for the circuit in Figure 2. Note that If the voltage at the left and right hand side of a resistor R is v and vR, respectively, and the current is assumed to flow through the resistor from left to right, then the current passing through the resistor R is iR We know that the voltage drop across a capacitor is uc = the current passing through the capacitor branch is ic cat,...
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.
Experiment 3. Application of Kirchhoff's Current Law (KCL) 1) Construct the circuit shown below on TinkerCAD and include a copy of the circuit in your report. I 12 N I 1 ΚΩ +4 v 470 22 N2 2) Use TinkerCAD multimeter to measure currents I1, I2, I3 and voltage across Ny and N2. Note: Multimeter must be in series in order to measure current. 3) Use KCL to derive an equation relating I1, I2, and 13 and verify that values...