= 12 cos(200t) V in the following circuit. Use Thévenin's theorem where it will do the best Let v, and find: (a) Difference Equation for vc; (b) vc(t); (c) vc(t = 20 ms). You may assume all transients have died out long before t = 0. 4Ω ic + 6Ω 100 mF iR
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- A 100 km telephone line has a series resistance of 4 Ω/km, an inductance of 3 mH/km, a leakage conductance of 1 μS/km, and shunt capacitance of 0.015 μF/km, at an angular frequency ω = 5000 rad/s. At the sending end, there is a generator supplying 100 0o V, at 5000 rad/s, in series with a resistance of 300 Ω. The load at the receiving end consists of a 200 Ω resistor. Find: The input impedance The sending-end current and voltage The current and voltage at the midpoint of the lineA system has the following characteristic equation: s + s + 3 + 2s + 2 = 0 Using the Routh-Hurwitz method, checkA 50ft transmission line is used for a microwave system. Aportion of the transmission line is found to have an inductanceof 0.5 mH, a capacitance of 1000 uF, 1000Ω resistance and 1uSconductance. Find the characteristic impedance of the trans lineassuming at Low frequency application.
- If the roots of the characteristic equation are -3,0 then the system is _________________________. Marginally stable Conditionally stable Stable UnstableIn case the sound from the engine of a vehicle is modelled by the function y(t) = cos[ω(t + τ) + θ] where time delay=τ & phase=θ Determine the frequency & period of the signal u(t) whena)[ω, τ, θ] = [π/3, 1/2, π/2]b)[ω, τ, θ] = [3π/4, 1/2, π/4] N.b time should be in seconds & frequency in Hertz. c) y(t) = e-atu(t) for t≥0 & y(t) = 0 for t<0 where a>0 is a constant The function above defines the model of the decay of the vibration of a vehicle engine. i.Make a sketch of the signal y(t) & determime its fourier transform.Evaluate the steady state response of a series RC, where R=20 ohm and C=0.10 uF if the input voltage is 50sin(628,318.50t + 30°) V. a. 1.50 A (rms) b. 1.40 A (rms) c. 1.60 A (rms) d. 1.70 A (rms)
- given that vc=q/C. derive the expression for q in terms of time t.The voltage across the terminals of the 5μF capacitor is 30 cos (4000t + 25°) V. Calculate (a) the capacitive reactance; (b) the impedance of the capacitor; (c) the phasor current I; and (d) the steady-state expression for i (t). 5 μF + v iIn the system given in the coming years, t=0 candidate election chance, F(t) candidates x(t) at the exit never happens. Maximum Value (Mp) 20%, 10 rad/s before damping (wd damped) and Calculate K and B samples at the value M=1.
- The current in the 20 mH inductor is 10 cos(10,000t + 30°)mA.Calculate (a) the inductive reactance; (b) the impedance of the inductor;(c) the phasor voltage V; and (d) the steady-state expression for v(t)A 8-stage impulse voltage generator is connected to a test object of load capacitance of 5000pF with wave front resistance equal to 700 Ω. If the wave tail and wave front times of the impulse wave are 50 μs and 1500 ns respectively. Calculate (i) wave tail resistance value and (ii) the capacitance of the impulse generator?In the series circuit of Fig, the source has voltage amplitude 20.0 V and angular frequency 5.40 x 103 rad/s, the inductance is 6.50 mH, the capacitance is 0.600 µF, and the impedance is 474 Ω. Find (a) the resistance, (b) the current amplitude, (c) the resistor voltage amplitude, (d) the inductor voltage amplitude, and (e) the capacitor voltage amplitude