The current source in the following circuit is supplying current as shown in the figure below. Find the value of the voltage vo(t) in Volts at 1 ms <1< 2 ms across the L1 = 18.89 mH inductor. L2 i,(t) (4 L, Vo 2.5 -2.5 -5 1 2 Time (ms) Cunent (A) 3.
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- As displayed in attachment figure and LC circuit can be modeled by the following system of differential equations as attachment. Where L = inductance (H), t = time (s), i = current (A), and C = capacitance (F). Assuming that a solution is of the form = Ij sin (wt), determine the eigenvalues and eigenvectors for this system using Faddeev-Leverrier Method and Power Method with L = 1 H and C = 0.25 C. Draw the network, illustrating how the currents oscillate in their primary nodes. Assume initial value for power method.Consider an LRC series circuit with a resistance of 2.5 ohms, capacitance of 0.1 farad, aninductance of 0.1 henry and electromotive force, volts. Given thatAssume there is no initial charge and no initial current on thecapacitor.The equation of the charge q(t), on the capacitor at any time t q(t)=C1e−5t+C2e−20t+0.05cost+0.2sint . (Do not solve the coefficients). a) State the equation of the current, i(t). b) State the transient and the steady-state current. c) What is the current after a long time.The circuit shown below is an underdamped system, and the current through the inductor has the form iL(t)=e^at ( ) (K1sinwt + K2coswt ) for t≥0 a. Determine the numerical values, including signs, of a and w b. If the initial conditions are iL(0) = 1A and Vc (0) =12V , determine the numerical values, including signs, of K1 and K2 c. Using the numbers determined above, write out the complete expression for iL(t)
- Calculate vc, il and the energies stored in the capacitor and inductor in the circuit attached under steady state DC conditions.A circuit is designed with an AC source of max voltage 12 and frequency 60 Hz. The circuit has a resistance of 1050 Ohms, an inductance of 0.06 Henrys, and a capacitance of 0.009 coulombs per volt. - omega for source in rad/s? - omegaR for circuit? -XL? -XC? -phi in radians? -Z? -imax?Ex : For the circuit shown in the figure below : 1. Find the mathematical expression for the transient behaviour of the voltage across the capacitor as well as the current of the capacitor if the capacitor was initially uncharged and the switch is closed at position 1 when t - o sec . 2. Find the mathematical expression for Vc and is if the switch is moved to position 2 at t = 10msec . 3. Find the mathematical expressions for Vc and ic if the switch is moved to position 3 at t = 20msec 4. Plot the waveforms of the Vc and is obtained from the parts 1 to 3 . R ic 20 kΩ 20 E 12 V C 0.05 uF vc R , 310 ΚΩ T
- Let Vs=530tᶾ v, leg t >0 and iL (0) = 1 A, in the circuit shown, at t=0.2s, determine the values of the energy stored in the capacitor and the coil. The circuit is in the attached image.My teacher said that the equation v(t) for Vcap (in image) will be V = -1/C integral of i(t) + v(initial). My question is, my teacher has said that the '-' infront of the 1/C is because the current flows into the negative terminal of the capacitor. But in the answer my teacher has put v(initial) as +20 and not -20, even though the 20V across the capacitor is also negative to positive as shown in the image. So why is the v(initial) put as +20 and not -20? Thank you.The switch in the circuit has been closed for along time before it is opened at t=0. Assume that the circuit parametersare such that the response is underdamped.1. Derive the expression for vo(t) as a function of Vg, α, ωd, C, and Rfor t≥0.2. Derive the expression for the value of t when the magnitude of vois maximum
- Assume that at the instant the 2 A currentsource is applied to the circuit the initial current in the 25mH inductor is 1 A, and the initial voltage on the capacitor is 50 V(positive at the upper terminal). Find the expression for iL(t) for t≥0 if Requals 12.5 Ω.Find Vc, iL and the energy stored in the capacitor and inductor of the circuit shown in dc conditions. Note:In the attached images, the exercise is in Spanish and is easier to understand. There is also the final correct answer, to check the answer.a) What is the time domain expression for the current? b) If the load impendance is created by an inductor with value L=375 mH, find the phaser voltage Vx? c) If the load impendance is created by a capacitor with value C=16.7 uF, find the phaser voltage Vx?