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Consider the difference equation:y(n)=(5/6)y(n-1) - (1/6)y(n-2) + x(n)where x(n) = 2^n u(n)and y(n) = 0 for all n < 0.(i) Calculate the homogeneous solution.(ii) Calculate the zero-input solution.(iii) Derive the zero-state solution.(iiii) Derive the total solution.(iiiii) Verify that the total solution = zero-input solution + zero-state solution.(iiiiii) Derive the impulse response.
A circular coil of 200 turns of radius a=60mm, total resistance R=2 ohm, and no self inductance is rotated about a vertical diameter with uniform angular velocity =200 rad/s in a horizontal magnetic flux B of 0.25 Tesla.
Find the stall current, max speed in rotations per minute (RPM), and armature current at a speed of 480.769 radian/s (4591.006 RPM). Discuss the relationship (if any) between the armature current at max speed
In a step-down converter, consider all components to be ideal. Let v_0 = V_0 be held constant at 5 V by controlling the switch duty ratio D. Calculate the minimum inductance L required to keep the converter operation
A Y-connected load with an impedance of 12-j15 Ohms per phase is connected to a balanced Delta-connected 208V, 60Hz, three-phase, positive phase-sequence supply. Determine 1) the line and phase voltage, 2) the line and phase current
The signal x(t)=10cos(t)+10sin(10t) is input into the following systems: a) \(H(s)=100/(s^{2}+10s+100)\) b) \(H(s)=s^{2}/(s^{2}+10s+100)\) calculate the output for each system.
From what distance must the electron be red if it is to just fail to strike the plate?
An electric dipole has opposite charges of 5.0x10^-15 C separated by a distance of .40mm. It is oriented at 60 degrees with respect to a uniform electric field of magnitude 2.0x10^3 N/C. Determine the magnitude of the torque exerted on the dipole ..
An ideal abrupt silicon pn junction has a \(N_{A} = 2 x 10^{17} cm^{-3} , N_{D} = 2 x 10^{15} cm^{-3} , \) 1) With derivation steps, calculate internal potential barrier V0 at 300K and 400K, respectively
A spherical region defined by 0
A ‘c-core' inductor has a total air-gap length of 3 mm and a cross-sectional area of 100 cm2. Two coils are wound on the core - one of 500-turns and another of 250-turns. Assuming the iron reluctance, fringing flux and leakage flux to be negligibl..
A capacitance C is charged to an initial voltage Vi. At t = 0, a resistance R is connected across the capacitance. A) Write an expression for the current. Express your answer in terms of some or all of the variables R, C, Vi, and t.
A 25MVA, three phase, 13.5kV, Y-connected, two pole, 60Hz synchronous generator was tested by the open circuit test and short circuit test and tabulated in table 1. If the armature resistance is 0.24 ohms per phase.
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