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1.) An insulating sphere with a radius of 3.5×10^-2 has a uniform charge density of 2.52 uC/m^3 throughout its volume.
a) Find the magnitude of the electric field at a point 5.7×10^-2 m from the center of the sphere.
b) Find the magnitude of the electric field at the surface of the sphere.
c) Find the magnitude of the electric field at a point 1.5×10^-2 m from the center of the sphere.
2.) A point charge of -2.00 uC is located in the center of a spherical cavity of radius 6.54 cm inside an insulating spherical charged solid. The charge density in the solid is 7.34×10^-4 C/m^3 .
a) Calculate the magnitude of the electric field inside the solid at a distance of 9.49 from the center of the cavity.
Design a bandpass filter with a peaking frequency at 5KHz and a bandwidth of 500Hz. Assume Ideal op Amps.
Two random variables X and Y have a joint probability density function given by f(x,y) =kxy 0
In transformer designs, often you can find an air gap in the core. In all the electric machines, there is an air gap between the stator and rotor. In both cases, flux will go through both core material and the air gap.
Compute the input current, torque, output power, and efficiency.
A specific type of MOSFET has VT = -1 V. The MOSFET is in the ON state (a short exists between its drain and source) when vGS ≥ VT. The MOSFET is in the OFF state (an open circuit exists between its drain and source) when vGS
Design a buck converter to produce an output voltage of 18 V across a 10- load resistor. The output voltage ripple must not exceed 0.5 percent. The dc supply is 48 V. Design for continuous inductor current.
Deer ticks can carry both Lyme disease (L) and human granulocytic ehrlichiosis (H). In a study of ticks in the Midwest, it was found that 16% carried L, 10% carried H and 25% that had either L or H carried both.
A two-wire copper transmission line is embedded in a dielectric material with εr = 2.6 and σ = 2X10-6 S/m. Its wires are sperated by 3 cm and their radii are 1mm each. Calculate the line parameters R', L', G', and C' at 2GHz.
Rain affects the downlink from the satellite and the overall CNR ratio in the receiver falls by 6.0 dB to 13.0 dB. What is the bit error rate and the time between errors now?
A silicon semiconductor resistor is in the shape of a rectangular bar with a cross sectional area of 1x10^-6 cm^2 a length of 0.1 cm and is doped with a donor concentration of 5x10^16 cm^-3.
a) Three delta-connected absorb 60 KW when connected to a 3 phase line. IF they are reconnected in wye, calculate the new power absorbed. b) Three 10uF capacitors are connected in wye across a 2300v, 60 Hz line.
A fiber has n1=1.53, n2=1.46 and a core diameter of .080 mm. It is to be coupled to a photodiode whose circular sensitive area is 20mm². It has been found that there is 2.75 db of coupling loss present.
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