In Problems 11 through 16, the parameters of an RLC circuit with input voltage E(t) are given. Substitute
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- 3. Given BF is F(x,y,z) = x yz +xyz+ ï ỹž+xỹz. (i) Simplify the BF by k-map (ii) Draw a circuit(using inverter, OR, AND gates) and make a truth table of simplified form of BF.arrow_forwardDetermine the transfer function, of the rotational mechanical system shown in T(s) Figure Q2. The variables 6,(t) and 02(t) refer to angular displacement of motion, while T(t) is a torque applied to the system. Given the value of spring, damping coefficient and inertia as; J: 5 kg-m? Di: 5 N-m-s/rad J2: 10 kg-m? K : 6 N-m/rad K2 : 5 N-m/rad D::4 N-m-s/rad D3:2 N-m-s/rad T(t) e,(1) D2 K2 0000 D1 D3 Figure Q2arrow_forwardThe displacement of an oscillating spring can be described by x = A cos(wt) where x = displacement at time t, A = maximum displacement, w = angular frequency, which depends on the spring constant and the mass attached to the spring, and t = time. Find the displacement, x, with maximum displacement A of 4 cm, for times from 0 to 120 seconds with increments of 30 seconds, and angular frequencies from 0.4 to 0.6 radians/sec, with increments of 0.1 radians/sec. The displacement for all combinations of times and angular frequencies needs to be calculated. Use meshgrid. Display your results in a matrix with angular frequencies along the top row and times along the left column like so (you may put zero, 0, or NaN, in the upper left corner:arrow_forward
- Find the differential equation from the transfer of the function for the Giving following system and draw the block diagram of the system. 3 H = x(s) u(s) 0.5s + 1arrow_forwardSuppose we have an 80-lb lead-acid battery. 10% of the weight of the battery is active material on the plates, i.e., we have a total of 8 lb of active Pb and PbO, on the plates that can be used to make electric power. Use the Gibbs free energy method to estimate the total stored energy in the battery. Assume that the open circuit voltage for a lead-acid cell is 2.1 V. [The answer should be a little less than 1 kilowatt-hour of energy.]arrow_forwardAn aluminum wire having a cross-sectional area equal to 4.60 x 10-6 m? carries a current of 7.50 A. The density of aluminum is 2.70 g/cm³. Assume each aluminum atom supplies one conduction electron per atom. Find the drift speed of the electrons in the wire. 1.95E-4 The equation for the drift velocity includes the number of charge carriers per volume, which in this case is equal to the number of atoms per volume. How do you calculate that if you know the density and the atomic weight of aluminum? mm/sarrow_forward
- 1. Given a Boolean function E(02456) F(x,y, z) = а. Make a truth table b. Write an equation in the canonical SOP form. c. Write an equation in canonical POS form.arrow_forwardFind the impedance theoretically of a wire if it carries the frequency 10 kHz have a voltage is 8v, the current is 2mA, resistance is 13 k, inductance 29 mH and capacitance 0.1 ufarrow_forward3. Apply Thèvenin's theorem to find Vo in the circuit of Fig. 42 1Ω ww 5Ω 3 A 16 2 10 Ω 12 Varrow_forward
- When the electromotive force is removed from a circuit Containing inductance and resistance but no capacitors, the rate of decrease of the current is proportional to the current. If the initial current is 30 amp and it's down to 1 amp after 0.01 sec, what is the current after 0.03 sec?arrow_forwardPROBLEM 24 - 0589: A forced oscillator is a system whose behavior can be described by a second-order linear differential equation of the form: ÿ + Ajý + A2y (t) = (1) where A1, A2 are positive %3D E(t) constants and E(t) is an external forcing input. An automobile suspension system, with the road as a vertical forcing input, is a forced oscillator, for example, as shown in Figure #1. Another example is an RLC circuit connected in series with an electromotive force generator E(t), as shown in Figure #2. Given the initial conditions y(0) = Yo and y(0) = zo , write a %3D FORTRAN program that uses the modified Euler method to simulate this system from t = 0 to t = tf if: Case 1: E(t) = h whereh is %3D constant Case 2: E(t) is a pulse of height h and width (t2 - t1) . Case 3: E(t) is a sinusoid of amplitude A, period 2n/w and phase angle p . E(t) is a pulse train Case 4: with height h, width W, period pW and beginning at time t =arrow_forward(a) Find a formula for the inverse of f(x)= Vx – 3 ||arrow_forward
- C++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology Ptr