Question

Part I: Derive the phasor relation for a capacitor starting from the equation that describes the current through a capacitor as a function of a voltage on a capacitor. Assume that the capacitance of the capacitor is C. (Hint: Starting from the time- domain relation and using Phasor transformation for current and voltage. prove that the impedance of capacitor is Part II: A parallel RC circuit is given. The circuit is driven by a sinusoidal current generator. Derive the phasor relatioń for KCL in that circuit. (Hint: Starting from the equation for KCL in the time domain iFictiR, using time-domain expressions that relate current and voltage on a capacitor and inductor, and using Phasor transformation, prove how the equation looks like in the frequency domain.) dt jwc
0 0
Add a comment Improve this question Transcribed image text
Answer #1

Solution The voltage-anant nelabewAur cataarPL henslh is step 4 dt to auvent Frem er a CtotPhasot relabion From t is dleai teet theu is qu hare sut detwen cavant and voltag. Tie liads ve I Jwc V- Pat-Il Solution Jwc

Add a comment
Know the answer?
Add Answer to:
Part I: Derive the phasor relation for a capacitor starting from the equation that describes the...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Review Part A. Find the relationship between the phasor voltage and phasor current for a resistance...

    Review Part A. Find the relationship between the phasor voltage and phasor current for a resistance The resistor shown here has been transformed into the phasor domain: Ik 4k Suppose that the phasor current is given by IR = 752120 mA. Find the phasor voltage VR. Enter a complex number in polar form, with phase angle in degrees. View Available Hint(s) 3002120 V Submit Previous Answers Correct Part B - Draw the phasor diagram of the resistance from Part A...

  • or practice) Describe the sinusoidal waveforms shown in the figures, using time-dependen notation: a) (4-44) (part...

    or practice) Describe the sinusoidal waveforms shown in the figures, using time-dependen notation: a) (4-44) (part a is for practice) b) (4-44) (rads 2 P3. (4.48) Determine the equivalent impedance in the circuit shown, given that v(t) 636 cos(3,000t +t/12), L=1.90 H C=6.8 nF P4. (4-49) In the circuit shows (for practice). given that is(t) lo cos(wt + π/6). l, 13 mA. 1,000 rad/s, C = 0.5 μF. a) State, using phasor notation, the source current, b) Determine the impedance...

  • The two circuits you will model in Multisim and then build on the protoboard are the...

    The two circuits you will model in Multisim and then build on the protoboard are the RC and RL circuits shown in Figures 5 and 6 below. In all cases, make the voltage supply the time reference voltage as indicated in Equation 18 (18) Keep in mind that Vso and o will not be the same for both circuits. The RC Circuit The RC Circuit is shown in Figure 5. The capacitor will have a sinusoidal voltage drop given by...

  • Problem 24: (18 points) 1. (6 points) Figure 2 shows an RC circuit with input f(t)...

    Problem 24: (18 points) 1. (6 points) Figure 2 shows an RC circuit with input f(t) and output y(t) Function Generator R, v, (r) y1) Figure 2: RC circuit. (a) (1 point) Sketch the circuit in the phasor domain by replacing the capacitor with its impedance represen- (b) (3 points) Using circuit analysis techniques, show that the frequency response function is Specify the DC gain, K, and the time constant, T, in terms of the parameters R, R, and C...

  • Part C is wrong! is not 0.352!!! please help A resistor and capacitor are connected in...

    Part C is wrong! is not 0.352!!! please help A resistor and capacitor are connected in series across an ac generator. The voltage of the generator is given by V(t) = Vocos(wt), where V. = 120V, w = 1204 rad/s, R= 800N, and C =9uF. (a) What is the magnitude of the impedance of the RC circuit? (b) What is the amplitude of the current through the resistor? (c) What is the phase difference between the voltage and current? 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)

    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)

  • TASK (i): Find time-domain equations for a parallel LC resonant circuit An LC resonant circuit is...

    TASK (i): Find time-domain equations for a parallel LC resonant circuit An LC resonant circuit is sometimes referred to as an LC-tank or tuned circuit. It is made up of two components: an inductor (L) and a capacitor (C), hence the name. CAPACITOR 4 e V - + V - Figure 1: Capacitor symbol The charge on a capacitor is proportional to the voltage across it, the constant of proportionality being the capacitance C, measured in Farads (F). Since current...

  • Find the Steady State Voltage and Current Values. Develop the equation for i(t) , the current thr...

    Find the Steady State Voltage and Current Values. Develop the equation for i(t) , the current through the inductor and Vout(t). I need help, I don't know if my calculations are correct, I found the neper frequency to be: a=439.109 rad/sec and resonant frequency to be Wo=14586.5 rad/sec. This is a parallel step response RLC circuit The circuit is underdamped. Please show all work clearly so that I can understand the process. Vout(t) is the voltage across R2 (which is...

  • 1. Calculate (a) 24 + j5 + 16+ j10 (b) (4+ j12) x (4 – j12)...

    1. Calculate (a) 24 + j5 + 16+ j10 (b) (4+ j12) x (4 – j12) (c) (4+ j12) + (4 – j12) (d) Convert to rectangular form: 12/10°, 4.242-45° 2. Multiply and Divide the following polar form (a) 45224° x 10454° (b) 184-64° x 42-14° (c) 45224° ÷ 102-10° (d) 5002-72° ÷ 52-12° 150 cos(314t) volts is applied to a pure resistor of R = 30 N 3. A voltage v = (a) Write the expression for i as...

  • PLEASE SOLVE QUESTION NUMBER 2 ONLY, MAKE SURE ALL PARTS IN QUESTION 2 ARE SOLVED. THANK...

    PLEASE SOLVE QUESTION NUMBER 2 ONLY, MAKE SURE ALL PARTS IN QUESTION 2 ARE SOLVED. THANK YOU poirmts) l'igure output y ws an RG circuit with inpu Function Generator Model Capacitor Model i,(t) Figure 2: RC cireuit (a) (1 point) Sketch the circuit in the phasor domain by replacing the capacitor with its impedance represen- tation (b) (3 points) Using circuit analysis techniques, show that the frequency response function is F(u) UT 1 Specify the DC gain, K, and time...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT