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Consider the simple birth and death process:
in which G is a "gain." Assume that the reactions are catalyzed by enzymes and that the gain G can be tuned by changing the amounts of these enzymes. A deterministic ODE model for this system incorporating disturbances due to environmental perturbations is given by
Determine the Langevin equation for this birth and death process and compare its form to the deterministic one. Also, determine the frequency response of Z to noise for both the deterministic model and for the Langevin model. Does increasing the gain G have the same effect in both models? Explain.
A car is traveling on a street at 24.6 m/s. An ambulance is behind the car, moving in the same direction and with a speed of 38.7 m/s. The siren on the ambulance is emitting sound at a frequency of 1575 Hz. The speed of sound in the air is 343 m/s..
Two-wattmeter method is used to measure the power absorbed by a 3-phase induction motor.- Find the power absorbed by the machine. - Find load power factor.
The new loaf will add 600kW to the real power load of the factory. The power factor of the added load is to be adjusted so that the overall power factor of the factory is 0.96 lagging. a) Specify the reactive power associated with the added load
Design the circuit and select the appropriate components for that circuit to fulfill the requirements of the device. Verify your design by MATLAB simulations
If a 2Ω load resistance is connected across the 110V winding, what are the currents in the high-voltage and low-voltage windings?
what is the maximum tolerable value of λ?
A modulating signal consists of two sinusoidal components: 1 kHz and 3 kHz. The transmitter carrier frequency is 80 kHz. If the signal is applied to a SSB-LSB transmitter, indicate the output frequencies in kHz.
Write a report specifically for optical fibre relay protection system.
An autotransformer with a total of 600 turns has its secondary winding embracing 200 turns. The 600 turns are connectred to a 60Hz, 2400V driving voltage. A load connected to the secondary draws 4.8kVA at 0.6 power factor lagging.
A signal, m(t) which is bandlimited to 20 KHz, is going to be transmitted over a channel a) If the stepsize must be less than \(.002 m_{p}\) and the number of steps mut be a power of 2, calculate the minimum number of bits that satisfies this crit..
Consider a general neurodynamic system with an unspecified dependence on internal dynamic parameters, external dynamic stimuli, and state variables.The system is defined by the state equations
The greatest rate of change of flux will occur when the core is ¼ to 3⁄4 the way through. In this region, if changes from 0.5 x 10-4 Wb to 8 x 10-4Wb, what is the force carried by the plunger?
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