The current I(t) in an LC series circuit is governed by the initial value problem below....
The current I(t) in an LC series circuit is governed by the
initial value problem below. Determine the current as a function of
time t.
The current I(t) in an LC series circuit is governed by the initial value problem below. Determine the current as a function of time t 90 sint, 0sts2π I,"(t) + 161 (t) g(t), l (0)-6, l"(0) : 30, where g(t) = 0, 27st Click here to view the table of Laplace transforms I(t) =
4. An LC series circuit has a voltage source given by V() 30 sin (50) V, an inductor of 2 H, and a capacitor of 0.02 F, but no resistor. What is the current in this circuit for t 0 if at
A linear system is governed by the given initial value problem. Find the transfer function H(s) for the system and the impulse response function h(t) and give a formula for the solution to the initial value problem. y" - 6y' +34y = g(t); y(O)= 0, y' (O) = 5 Find the transfer function. H(s) = Use the convolution theorem to obtain a formula for the solution to the given initial value problem, where g(t) is piecewise continuous on (0,00) and...
3.The phasor diagrams for a series RLC circuit are shown below. Rank the frequencies from lowest to highest. Which frequency is closest to the resonance? a. b. VI Vt Vc 4. Circuit / has a reonant frequency of wy, What is the resonant frequency wn of circuit // in terms of w? Circuit L Circuit IT 2L C/2 ε sin(40t) & sin(ot) 5. At time t -0 the capacitor in the circult below is fully charged with Qmax and the...
MATLAB WORK PLEASE
An oscillating current in an electric circuit is given by: I = 9e-t sin(2nt) where I is the current in Amperes and t is the time in seconds. Use fzero to determine the two values of t in the range of 0 <t< 1.5 such that I desired = -1.15A. (What does a negative current physically mean?) The outputs of the function are t, and t2, where tı = first time that I desired = -1.15A and...
The initial problem has been
posted as requested. Than you in advance!
7.27 The LC circuit shown in Fig. P7.27 (originally presented in Problem 3.25) is connected to an antenna and is the basic circuit component used in electrical oscillators and frequency tuners. The system parameters are L 3 m1H and C 20 μF. At time t-0-the capacitor is charged and its voltage is ec(0) 2.5 V, the switch is open, and there is no current in the circuit. At...
6.[10] Find the solution to the vibrating string problem governed by the given initial-boundary value problem: 9uxx = Utt 0<x< 1, t> 0 u(0,t) = 0) = u(tt,t), t> 0 u(x,0) = sin 4x + 7 sin 5x, 0<x< 1 uz (3,0) = { X, 0 < x < 1/2 r/2 < x <
A linear system is governed by the given initial value problem. Find the transfer function How) for the system and the impune response function hil) and give a fomida for the solution to the initial value problem. y'-' +17y=(t): y0) = 0, y(0) - 4 Find the transfer function Find the impulse response function. Give a formula for the solution to the initial value problem using as the contin variable
Torsional vibration of a shaft is governed by the wave equation, where x, t) is the angular displacement (angle of twist) along the shaft, x is the distance from the end of the shaft and t is time. For a shaft of length 4T that is supported by frictionless bearings at each end, the boundary cond itions are Ox(0, t) 0x(4T, t) = 0, t 0 Suppose that the initial angular displacement and angular velocity are Of(x, 0) = 1...
Find the the current I(t) in an LRC series circuit, using the given initial current and the charge on the capacitor, when L =0.02H, R =2ohms, c=0.001F, E(t)=150volts, Q(0)=5c and I(0)=0A. Please show each step with any explanation. Thanks