Consider the following circuit with a supply current, i(t) 8u(t), shown in the figure below. Determine...
A common demonstration of inductance employs a circuit such as the one shown in the figure (Figure 1) . Switch S is closed, and the light bulb (represented by resistance R1) just barely glows. After a period of time, switch S is opened, and the bulb lights up brightly for a short period of time. To understand this effect, think of an inductor as a device that imparts an "inertia" to the current, preventing a discontinuous change in the current...
The Natural Response of an RL Circuit In summary, to find the time constant of an RL circuit, find the Thevenin equivalent resistance se Learning Goal: To analyze an RL circuit to determine the initial current through an inductor, the time constant, and the expression for the natural response of the inductor current, and to use the expression for the inductor current to find other circuit quantities, such as current, voltage, power, or energy. The natural response of an RL...
need help with all parts Problem #6 - (18%) The circuit below has initial conditions I(t=0)=0 A and Vet=0) = 8 V Do the following: 10 * YO a) Draw the s-domain equivalent circuit. (4%). Analysis shows that the Laplace Transform of voltage Vc is: 8.92.C + v=d Vc(s) = (S2+RCL b) Substitute numbers in the equation above and express in a partial fraction expansion. (Do your work on the following page) (6%) c) Compute an expression for the time...
Q3. In the circuit as shown below, given that R1 = 4 Ω, R2-4 Ω, L 2 H, and C = 0.5 F, where vs(t) is given by the waveform displayed in the same figure 1 V (a) Determine the s-domain current I(so) at so-0.05 jo.07 (rad/s): IL(So)- Submit Answer Tries 0/3 (b) Determine the t-domain current i(to) at to 4.5 (s): Submit Answer Tries 0/8 Q4. Determine the output voltage in the circuit as shown below, given that Vs-35*u(t)...
Q-7 (15 pts) For the RLC circuit shown below, the switch is closed at t-0s shorting the capacitor to gnd. Find the time domain expression for the transient current after the switching time instance. C-1uF R1-4000 i(t) L-1H 100V t-0s R2-4000
Consider the circuit in figure 4. a) find the thevenin equivalent of the network connected to the inductor L1. b) find the mathmatical equations for the transient behavior of the current. iL(t) and the voltage vL(t) following the closing of the switch. c) determine the value of current iL at t= 20?s. Question 5 (10 points) (Obj. 4) Consider the circuit in Figure 4. a) Find the Thevenin equivalent of the network connected to the inductor L1.(4 points) mathematical equations...
Circuit Analysis in the s-Domain 15.3. The initial voltage across the capacitor in the circuit shown in Figure P15.3 is v(0) 1 V, and the initial current through the inductor is i(0)0 mA Find the voltage vo (t) across the capacitor for t 2 0 Figure P15.3 50 mH 1 kS2 V. Volt) T 0.1 μF The circuit in the s-domain is shown below. R2 Va 1k 0.05s 1/(sC)-1e7/s Vo R1 2k V (0-ys 5/s 1/s 1 format long; 2...
Problem 5 (20 Points): For the circuit shown below, the input is the current source, I(t) and the output is eo. 1). Find the state variable model. Take ec and IL as state variables (refer notes from Chapter-6). 2). Apply Laplace Transform on the state variable model (from part-1) and show that the transform of the output (eo) is given by the expression: 사스 ; if the initial conditions, L(0) and ec(0) are known. Note: ec(0)-eo(0) R L R L...
Q1. i) Will the current flow from A to C, for the connection shown in Figure. 12 Support your answer (11 with proper reasons. Both D1 and D2 are silicon diodes. D1 D2 A_* B Figure 1 ii) Draw the equivalent circuit diagram for Ideal Diode under forward bias and reverse bias. iii) Determine the value of I for the circuit shown in Figure. 2 R - 5V 15.2 V 5 kΩ Ge Figure 2 iv) Compute Vo and Ir...
Question 8: 1. Redraw the circuit shown below with the s domain equivalent models, where V1(t) is a step function from 0 to 1V at t-0 2. Find transfer function in the s domain H( 3. Write the s-domain equation for Vout(s) if V1(s) is a 1V step function. 4. Write the equation of r of the circuit in terms of R's and C 5. Write the equation for the step response in the time domain. 6. You can either...