Determine the inductor current i(t) for t < 0 or the circuit shown below. Enter your answers in units of A. 302 202 www ww 25 V(+ t=0✗ ell 4H
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- A)Perform the N=5 point circular convolution of x and h using DFT. B)Perform the N=5 point circular convolution of x and h in time-domain.given that vc=q/C. derive the expression for q in terms of time t.Make the equation s(s+1)(s+2)+K=0 in the form of 1+KF(s) and explain the drawing of root-locus curves. (Note: Indicate the splitting points, centers and angles of the asymptotes)
- Consider the circuit on the left. DC voltage u1(t ≥ 0) = U is applied at time t = 0. Both meshes must include the input voltage. At time t = 0, the capacitors are free of energy. The following applies: τ = R*C. Derive the 2nd order differential equation for the capacitor voltage u2(t).Convert the following expressions to real-imaginary form: jj, e jπ .Obtain the value of I1, if ? =1/√2 ?, and the circuit is in steady state at t = 0
- Set up a system of first-order differential equations for theindicated currents I1 and I2 in the electrical circuit ofFig. 4.1.14, which shows an inductor, two resistors, anda generator which supplies an alternating voltage drop ofE(t) = 100 sin 60t V in the direction of the current I1.In the given circuit, consider M = 1 H. Determine the energy stored in the coupled inductors at t = 2 s. The energy stored in the coupled inductors is JA series LR circuit has a variable inductor with theinductance L(t) is defined by intervals.Find the current i(t) if the resistance is 0.2 ohms, the voltageapplied is E(t) = 4 volts; knowing that i(0) = 0.
- Find the root of the equation. S^2+2S+5For the network shown below, the switch is closed on to position 1 when t = 0 and then moved to position 2 when t = 20 ms. Determine the voltage across the capacitor when t = 30 ms. Also plot the response of this circuit from time, t = 0 to t = 40 ms.Assume that the circuit in the image has been connected for a very long time. (a) As time approaches infinity, what wtll happen to the capacitor and inductor? (b) From your answer in (a), draw the equivalent circuit (label appropriately).(c) From your circuit in (b), determine the "steady-state" or "final" values of Vc, lc, IL and VL