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A large parallel plate capacitor is made up of two plane conducting sheets with seperation D, oneo f which has a small hemispherical boss of radius a on its inner surface (D >> a). The conductor with the boss is kept at zero potential, and the other conductor is at a potential such that far from the boss the electric field between the plates is Eo.
(a) Calculate the surface-charge densities at an arbitrary point on the plane and on the boss, and sketch their behavior as a function of distance (or angle).
(b) Show that the total charge on the boss has the magnitude 3*pi*e0*E0*a^2.
(c) If, instead of the other conducting sheet at a different potential, a point charge q is placed directly above the hemispherical boss at a distance d from its center, show that the charge induced on the boss is:q' = -q[1 - (d^2-a^2)/(d*sqrt*d^2+a^2)]
Show the truth table for the following circuits: a. A 3 input NAND GATE (Inputs are A,B, and C and the output is Q) b. A 3 input odd parity circuit. (Inputs are A,B, and C and the output is Q) c. A two bit adder with inputs (A1,A0 and B1,B0) and outp..
The IC differential amplifier is to be fabricated in a CMOS technology having the technology specifications of Kn' = 200 uA/V. Kp' = 100 uA/V. Vtn = 1V Vtp = -1V Va = 50V L = 1u. Calculate all the device widths for a constant bias current of 1mA
Given the following voltage and current expressions, show the expression for the voltage across R2 in the circuit Note, R1=100 ohm, R2=300 ohm, and R3=200 ohm: a) v(t) = 10 cos (377t + pi/4) V b) i(t) = 5 cos (754t - pi/3) mA
write a paper on orthogonal frequency-division multiplexing with advantages disadvantages and uses.the format
Determine for each of following 4 signals if it is bandlimited and, if yes, find the minimum sampling rate without causing aliasing. (a) x1(t) = cos(500pt) + sin(700pt); (b) x2(t) = sin2(50pt);
The input capture option on the HCS12 is used to measure the period of a 100 Hz signal. With an E-clock of 24 MHz and no scaling, how many overflows will occur Assume the free-running timer starts at 0x0000.
A balanced Wye connected load of 15 + j9 Ω/phase is being fed by a Wye connected source. Each of the three lines feeding the load from the source has 0.5 + j0.3 Ω impedance. The voltage at the load is 440 VLL .
Assume that the memory locations M[$20], M[$21] and M[$22]. Write a 68HC11 assembly language program (with lots of comments) that will determine the sum of the largest two numbers and store its value in M[$23].
Design a full wave unregulated dc power supply having an input of 220 V rms 60 Hz and an output voltage maximum of 19.5 V and a minimum of 15 V. This power supply will be needed to provide power to a load which requires a maximum current
How many turns are required for a circular loop of 100-mm radius to develop a peak emf of 10mV if the loop rotates 30r/s in the earth's magnetic field Take B = 60E-6T.
When carrying out an FFT of a cosine wave whose frequency is 0.1Hz and whose amplitude is unity , explain why the peak amplitude measurement obtained in the range 0.09Hz to 0.11Hz should be 0.5
Design a Mealy sequential machine with two inputs A and B, and one output Z. Output Z generates 1 if: (a) A had the same value at each of the two previous clock ticks, or (b) B has been 1 since the last time that the first condition was true.
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