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1. In a radical system the electric potential is given by the function
V(r)=k(1/r2 - 1/r)
Where k is constant and r is the radical distance.
a. Find the electric field as a function of distance.
b. If a positive charge was released in this system, at what radius would it be at equilibrium (i.e. if electric potential was height and you rolled a ball on this landscape would it come to a rest?)
Take the derivative and put it equal to zero.
2. The earth has an electric field of 150N/C which arises because the separation of charge between the Earth's surface and the ionsphere which is 100 km above the surface of the earth. Assuming the Earth's atmosphere can be considered to be similar to a parallel plate capacitor (whose area is the area of the planet) what is the charge stored in this capacitor?
Treat the planet's atmosphere like a parallel plate capacitor. Use the parallel-plate capacitor equations.
A long copper wire of circular cross-section and resistance 0.05 O has a potential difference of 0.10 V applied across its ends. The wire is then melted and reformed into a wire of circular cross-section that is twice as long.
The current in the bias resistors should be no more than 10 percent of the drain current- Determine VGS, ID, and VDs. Sketch the load line and plot the Q- point.
How should three capacitors and two batteries be connected so that the capacitors will store the maximum possible energy
Use a modulation index of 50 percent and a sampling rate of 160 kHz. In this project, develop a coherent demodulation for the modulated signal. Assume there is no channel error.
The voltage and current at the terminals of the circuit element in Fig 1.5 are zero for t
Assume that h is a random variable with PDF. Pn(h)=0.1*d(h-1)+0.9d(h-3). n is a zero mean white gaussian noise with variance 0.5. Assume that the channel state info is available at the reciever for each of the three branches.
Compute i2(t) through resist R, Find value of w0 for which the amplitude of the current |I2| is maximum, compute I2 for w=w0. compute the ratio of the amplitude of the voltage source over the amplitude of the voltage across the resistor.
design a Melay sequential circuit which investigates an input sequence x and which will produce an output of z=1 whether thetotal number of 0's in the sequence is odd,provided that thesequence 01 has occured at least once.
Write a MATLAB script to simulate the frequency response for the circuit. Include your code as well as plots of the circuit amplitude frequency response in dB as well as the phase response.
Write an assembly code segment that calls the subroutine New Function if bits 5 and 6 of PORTD equal 1. Write the same code segment in part (a) using structured assembly constructs.
Consider the step responses of two different imaging systems, one with a circular aperture of diameter 2ω and the second with a square aperture of width 2ω, with one edge of the aperture parallel with the edge of the step.
A 3-phase, 200 hp, 480 V, 6 pole, 60 Hz synchronous motor has asynchronous reactance x1= 1.5Ω and x2=1.5Ω. Neglect all losses. The motor is connected to an infinite bus, and it delivers its rated horsepower at unity power factor.
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