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A spherically-symmetric charge distribution in free space (with a < r < 8) is known to have a potential function V (r) = V0a2/r2, where V0 and a are constants.
(a Find the electric field intensity;
b) find the volume charge density;
c) Find the charge contained inside radius a;
d) find the total energy stored in the charge (or equivalently, in its electric field).
Given an input signal x[n] whose sample values are given in the table below. Find and plot the first 4 samples of the output that results when this input is applied to the two filters below: (Use n=0, 1, 2,3) A: Filter 1 Equation: y[n] = x[n] - 0.5..
Design a logic circuit to produce a high output only if the input, represented by a 4-bit binary number, is greater than twelve or less than three. Implement a minimized circuit using only NAND gates.
Murray Loop Test and Locating Faults, Q.1 (a) Using the Murray Loop test, determine the distance to an earth fault on one of the cores of a uniform three-core underground cable. Ra = 2 ohms, Rb = 1 ohm
find the Laplace transformation to find the v(t) that satisfies the following firs-order differential equation : a) 500 dv(t)/d(t) +2500 v(t)= 0 , v(-0)= 100V b) dv(t)/d(t) +200v(t)= 400u(t)V , v(-0)= -100V
What are the design implications for the location and positioning of solar cells? Explain why the use of solar cells might be more appropriate in some regions of the country.
Derive the transmission and reflection coefficients for the case of tunneling through a square potential barrier with 0
Determine the output voltage for an op-amp comparator circuit with a non-inverting input reference voltage of + 2 VDC and an inverting input signal of - 1 VDC. The op amp reaches output saturation voltages of ±13 V at the limits.
A current source of 12 cos 2000t A, a 200-ohm resistor, and a 0.2-H inductor are in parallel. Assume steady-state conditions exist. At t = 1 ms, find the power being absorbed by the (a) resistor; (b) inductor; (c) sinusoidal source.
Consider the collision between two hockey pucks in the figure below. They do not stick together. Their speeds before the collision are v1i = 26 m/s and v2i = 11 m/s. It is found that after the collision one of the pucks is moving along x with a sp..
Design a 4-bit binary incrementer using HALF-ADDERS as building blocks. The circuits implements A+1=S where A and S are 4-bit binary numbrers. The circuit has 4 inputs A3A2A1A0 and 5 outputs : S3S2S1S0 and overflow C4. Draw the circuit diagram wit..
An 8mm thick brass [E=83 GPa; v = 0.33] plate is subjected to biaxial stress with sigma x = 180 MPa and sigma y = 65 MPa. The plate dimensions are b = 350 mm and h = 175 mm.
Gaussian white noise, perfectly band-limited to 0-10MHz, is passed through a perfectly rectangular filter of bandwidth 18 kHz, gain 3 dB, and center frequency 455 kHz. If the RMS voltage of the input noise is 1 volt
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