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1. Can functions V1(R,θ) = C1Rcosθ and V2 =(R,θ) = C1R2 cosθ, where C1 and C2 are arbitrary constants, be solutions of Laplace's equation in spherical coordinates? Explain.
2. A point charge Q exists at a distance d above a large grounded conducting planes.Determine-the surface charge density ρs.- the total charge induced on the conducting plane.
3. Two dielectric media with dielectric constants ε1 and ε2 are separated by a plane boundary at x = 0, A point charge Q exists in medium 1 at distance d from the boundarya - Verify that the field in medium 1 can be obtained from Q and an image charge -Q 1, both acting in medium1.b- Verify that the field in medium 2 can be obtained from Q and an image charge + Q2 coinciding with Q, both acting in medium 2.c- Determine Q1 and Q2. (Hint : Consider neighboring points P1 and P2 in media 1 and 2, respectively, and require the continuity of the tangential component of the E-field and of the normal component of the D field)
Calculate the current in the output of the source before and after the installation of the new device and The temperature sensor output is a voltage which is equal to the temperature sensed by the sensor. Design an electric circuit which can get th..
make a RAM memory using a 2-D array of integers. This RAM will have 8 locations, each 64 bits wide. Both should be changeable and controlled by generics. This memory will be connected to a FIFO controller which I have already coded.
Consider an open-ended cylindrical tube (infinitesimally thin walls) of radius a and total length 2h. A total charge Q is uniformly distributed over the surface of the tube. Find an expression for the electric field anywhere on the axis of the tub..
An angle modulated signal is given by EM(t)=5cos[Wct + 20sin100pi(t) + 10sin2000pi(t)] a. Find the power in the modulated signal b. Find the peak frequency deviation in Hz. c. Find the peak phase deviation in radians. d. Find the bandwidth
A saturated npn transistor has a base to emitter applied voltage of 0.6V. The collector to emitter voltage is 0.2V. The collector current is 12mA
An unknown semiconductor has Eg = 1.1 eV and Nc = Nv. It is doped with 10^15 cm^-3 donors where the donor level is 0.2 eV below Ec. Given that Ef is 0.25 eV below Ec, calculate ni and the concentration of electrons and holes in the semiconductor ..
Let a = 2 + j and b = 3 - xj be complex numbers where 'x' is an arbitrary constant. Let c = ab (i.e., complex number 'c' is the product of 'a' and 'b'). Calculate the magnitude of c as a function on constant 'x'.
Discuss the procedure for design using anthropometric data. Include Confidence Intervals (CIs). Select any one anthropometric measurement for males or females in Table 5.3 and find 90% CI for the mean measurement of the population.
A dc power distribution cable has two #6 copper wires. The copper wire table in the textbook lists each wire as having resistance of Ro=.4028 ohms per thousand feet at temperature of 25C. The temperature coefficient of copper is alpha=.004 per C.
Suppose that we want to determine how many of the bits in a six-bit unsigned number are equal to 1 . Design the simplest circuit that can accomplish this task.
Use the Z-transform of u[n] and properties of the Z-transform to find X(z). Verify that the expressions obtained above for X(z) are identical.
Devise a detailed algorithm for a ring with p nodes so that each node would atttain the final sum of original node values. Determine the worst case communication steps for the algorithm.
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