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Question 1: Using the following expression, derive expressions for the electric and magnetic field intensities in terms of components of A→, that are TEM to the z-direction (TEMz):
E→ = - jωA→-j .1/(ωμε).∇(∇.A→)
Question 2: Determine the energy stored per unit length in the internal magnetic field of an infinitely long, straight wire of radius ‘a', carrying uniform current I.
Question 3: Show that under static conditions, following equation reduces to Ampere's circuital law:
∇2A→ = -μJ→+ με.(∂2 A→)/(∂t2)
Question 4. Show that the following equation becomes Faraday's law when we take the curl:
E→ = -∇V - (∂A→)/∂t
Needs to oscillate 5 times per second. Amplitude envelope increases 25% every second. Amplitude is 1 at t =0. The derivative at t = 0 is 54.6371. the sinusoid has to be a cos(2*pi*5*t) for the exponential exp(at).
A coil of 20Ω and inductance of 212mH is connectedin parallel with a 106μF capacitor. The circuit is connected over a 180V, 50Hz(variable frequency source) supply. 1.) Calculate the total Current drawn from the supply .
What is the inclination of the major principal plane with the horizontal?
Consider people who receive an annual radon exposure (EEC basis) of 0.11 MBq h m-3 for the first 30 years of their lives. At age 30, through radon reduction remediation actions, they decrease their annual exposure to 0.02 MBq h m-3 for the remaind..
Calculate the average heat removal rate per unit area (W/m2) from the PCB.
A rotating electromechanical energy conversion device has the following inductances in terms of 8 in radians θ angle between rotor and stator axes)
signal s(t)= (2a) / (t2+a2) A) Determine the essential bandwidth B Hz of s(t) such that the energy contained in the spectral components of s(t) of frequency below B Hz is 99% of the signal energy.
Typically, a speech signal that can be understood over a telephone shows frequencies from about 100 Hz to about 5 KHz. What would the sampling frequency fs (samples/ sec) that would be used to sample a speech without aliasing
Transistor Biasing The circuit shown in Figure is a typical biasing arrangement for a BJT-type transistor. The actual transistor for this problem can be modeled as 0.7-V battery in series with a 200-kΩ resistor.
The position of a particle is given by r =3.0tf +2.0t2]+ 5.0k , where t is in seconds and the coefficients have the proper units for r( t) to be in meters.
David is driving at a steady 30 m/s when he passes Tina, who is sitting in her car at rest. Tina begins to accelerate at a steady 2.0 m/s2 at the instant when David passes. How far does Tina drive before passing David
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