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For the following differential equation, determine the Laplace transform, and put into transfer function form (note, one pole is at s = -3):
(d^3 x(t)/dt^3) + (6 d x(t)/dt^2) +(11 dx(t)/dt) + 6x(t) = 6r(t) + (6 dr(t)/dt)
Calculate: a) the total charge in the device at t = 3 s, assume q(0) = 0 (round to three decimal places) b) the power consumed by the device at t = 1 s (round to three decimal places)
If the energy stored in the fully charged battery is used to lift the battery with 100-percent efficiency, what height is attained. Assume that the acceleration due to gravity is 9.8 m/s2 and us constant with height.
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)
PLC 2 In a motor control system, one master stop pushbutton (Stop) is available for stopping the operation at any time. If the temperature switch (TSW) is closed, pressing the red pushbutton (RedPB) will turn on both motors M1 and M2.
Looking at a sine wave, describe how the ROM in a DDS could use only one-fourth of the memory locations to store the sine wave look-up table. Discuss how narrowing the bandwidth of a circuit affects the noise level.
A 120volt, 60Hz single phase load of 3.2KW with an inductive power factor of 8.1 needs to be corrected to a power factor of 0.95 (inductive). What capacitance value (in uF) is needed
Find the electric field at the corner of the square of sidérant 30 cm at the corner P due to the charge at the other three q1=4.0uc,q2=7.0uc and q3= 3.0uc (b) compute the electric potential at the point p.
The voltage across the load must remain between 4.7 and 5.0 V for all values of load current. Design a voltage-divider network to supply the load. You may assume that resistors of any value desired are available.
How the inversion voltage is affected by the relative sizes of the sizes of the nMOS nMOS and pMOS TRANSISTORS OF THE CMOS transistors of the CMOS inverter
Find the appropriate subchannel modulation format (note: the number of constellation points in the modulation mapping scheme should be the power of two).
During the k^th sampling interval of a CVSD modulation scheme, the current value of input x(k) is 1000, the previous value of approximating staircase function x f(k-1) is 990, and the current value of ä(k-1) is 30.
The maximum flux density in the core of a 250/ 3000 volts, 50 Hz single phase transformer is 1.2 Wb/m2. if the emf per turn is 8 volt, determine (i) primary nad secondary turns (ii) area of the core
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