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The input/output relationship of a LTIC with input x(t) and output y(t) is give by:
(D^3+7D^2+11D+5)y(t) = (D+3)x(t)
The input is sinewave x(t)=2sin(2t)u(t) and the initial conditions on the output and its first two derivatives at 0- are 1, 0, 0, respectively.
1) Find the transient and steady-state responses of the system using frequency domain methods.
2) Find the forced and natural responses of the system using frequency domain methods.
3)Find the 0+ conditions for the system's step response and impulse responses
Suppose a car of mass m moving on a straight west-east highway at velocity v(t) (positive for motion from west to east) experiences aerodynamic drag force with magnitude v(t) opposing its motion.
Built-in voltage for a Si p-n junction is tested to be 0.6 V, NA = 2 X 10^15 cm^-3 on p side. Find ND on n side. (Assume ni = 1 x 10^10 cm^-3; and k*T/q= 0.026 V)
A system has a characteristic equation: q(s) = s3 + 20s2 + 5s + 100 = 0 Determine whether the system is stable using the Routh-Hurwitz criterion. Determine the roots of the characteristic equation.
A positive charge of magnitude q1 lies at the origin. Derive an expression for the incremental work done in moving a second point charge q2 through a distance dx from the starting position (x, y, z) in the direction -ax.
Problems for the basic concepts of Induction motor(IM) taking care of slip and syncronous speed and motor speed and its relationship, A 50 Hz induction motor operates in such a way that the slip is 1.45.
determine the corediameter required for the fiber topermit its operation over the wavelength range 1.48 to 1.60um. calculate the new fiber core diameter to enable single mode transmission at a wave length of 1.30um.
What is bit rate of the transmission on the twisted pair? If the digital outputs of three identical video cameras are combined onto a single cable using time division multiplexing, what is the bit rate on the cable?
1.How is crude oil formed ?How is it found/discovered ? 2.How is natural gas formed? (Start with plankton) and include crude oil formation.
A plant has two identical standby generator units for emergency power use. In the area of the generators, the normal noise level registers 81 dBA on the sound-level meter with the generators turned off. When one generator switches on, the noise le..
Suppose that we wished to match an admittance using a double-stub tuner where the stubs are lambda/4 apart. For what range of admittance values can
Use the fact that x = 2 and y = 0 at t = 0 to determine the appropriate value of the arbitrary constant in the solution set.
The circuit will have as inputs a minimum of two inputs; the binary equivalent of two decimal numbers of not greater than (10,000)10. The circuit will also produce a minimum of two outputs, the quotient and the remainder.
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