2) (15 points) Consider a voltage signal v(t)Vocos(wt) (a) Consider applying v(t) across a capacitor C (i) What's the current into the capacitor? (ii) Plot the current and the voltage in the time...
Now consider a o cos (wt Show that the voltage capacitor and inductor in series with a current through them of i = across the combination will be 1 V ViVc io sin(wt wC wL - 5. This indicates that the series combination acts just like a single inductor if (wL- 0, or just like a single capacitor if (wL - ) of the above formulas for io and d to get the behavior of the RLC circuit. Find the...
please help, if you're able to explain a-f that would be great, but i mainly need help with G <Ch31. AC Circuits Part Part A Exercise 31.12 - Enhanced - with Feedback What is the impedance of the circuit? Express your answer with the appropriate units. What is the voltage amplitude across the resistor? Express your answer with the appropriate units. 2 = 251 VR = 19.7V Previous Answers Sube Previous Answers You have a 170 resistor, a 0.800 H...
1. A resistor R and capacitor care connected in series with an AC voltage source with frequency f and maximum voltage Vo. a. Find the complex impedance (in the form Z = R + jX). If the impedance is written in polar form (Z = Zejº), find expressions for Z and Ⓡ. Write your answers in terms of the variables R, C, and o(= 21f). b. If the voltage source is described by the phasor V = V, ejwt, and...
Put the voltage source into phasor notation and the current source into time-domain signal. V(t) = 20 · cos(10t + 30°) am' 05-06 -- I = 40 Z50° 0 = 100 rad/s i(t) =
ART 2: Capacitor and Inductor Switch Circuits If the voltage, v, across the top 3 ohm resistor is 9V at time t-0-, and the current, i through the top 9 ohm resistor at time 0- is 1A, find i and di/dt at time 0-, 0+, and t-infinity. (note, if you want a partial check on your answers, i(0+) should be -2A and di(0+)/dt should be 7.5A/s. 4. 3Ω IF 18V 3Ω
2.5 kΩ 5H 3.0 uF The initial voltage at t<0, V40)-100 v and current i(0)-0. At t=0 the switch is closed. a. (10 points) Find a differential equation (in time domain) for the voltage across the inductor. (10 points) The following expression is the solution for the differential equation find in part b. Determine all the parameters in the solution α, A, B and ω. b. V()e (A Cos(ot)+ BSin(r)) c. (2 points) Determine the steady state current and the...
Derive time dependence of voltage and current for a capacitor equation v(t)=V(1-e-t/RC) i(t)=(V/R)(e-t/RC)
2-a)-RLC components connected in series in a circuit supplied by a variable dc voltage can be described by the following differential equations: di(t) wherei@ is the loop current and V1(t) İs the voltage drop across the inductor.+' The voltage drop across the resistor is given by Ohm's law vR(t) R i(t) and the voltage drop across the capacitor vc(t) is given by i(t) dt For a series circuit ye)t vit)t velt) v(t) where v(t) is applied voltage: Figure 3: RLC...
Consider the following circuit , where the voltage v(t) is imposed for t 2 0, R 4 Ω, L-1H and C 1/4F. The initial initial current going through the inductor is i(0-) -0 A and its first derivative is i(0)-1A/s. We are interested in the evolution of the current i(t). ve(t) i(t) The corresponding input-output relationship is i(r)dr Ug(t) + Li'(t) + Ri(t)-r(t) with t e(t)-ve(0) + (0) Which physical quantity is the input of the system? Explain. (ü) Which...
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...