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Consider a magnetic dipole carrying a current I.
a. Calculate the magnetic flux density B at a point P specified in spherical coordinates. Express the answer in terms of the magnetic dipole moment m. Justify all the assumptions adopted.
b. Sketch the magnetic flux density B and compare the results with the results for E in an electric dipole. Discuss.
c. What is the importance of the magnetic vector potential A in the calculations above.
d. Give other examples of the usefulness of A?
e. What is the magnetic scalar potential \(V_{m}\)? How is it different than A?
Determine whether the following signals are periodic. If they are, find the smallest periods (fundamental periods). a) f(x,y) = sin (2 pi x) cos(4 pi y) b) Discrete signal: f(m,n) = sin ( pi * m / 5) cos(pi * n / 5)
(1) What is the difference between a series and a parallel circuit (2) How do you evaluate the total resistance of a parallel circuit
An electric field E = 10z(hat) V/m exists in air (for which epsilon_r = 1) in the region defined by the equation z > 0. A dielectric medium with epsilon_r = 5 exists in the region defined by the equation z
A charged 100- picoFarad capacitor has initial voltage across it of 10 V. A 100 kohm resistor is suddenly connected across the capacitor (at t=0) to discharge it. What is the magnitude of the instantaneous current at 20 usec
Design a low pass FIR filter for 10 kHz sampling, with a pass band edge at 2 kHz, a stop band edge at 3 kHz, and 20 dB stop band attenuation. Find the impulse response and the difference equation for the filter.
Consider a zero-phase sine function, x(t), with frequency ?=1.3rad/sec. What is the minimum positive time shift needed to turn this function into a zero-phase cosine of the same frequency
A parallel-plate capacitor is charged to a potential V0, charge Q0 and then disconnected from the battery. The separation of the plates is then halved. What happens to (a) the charge on the plates
A 230 V DC series motor has an armature circuit resistance of 0.2 and a eld circuit resistance of 0.1. At rated voltage, the motor draws a line current of 40A and runs at a speed of 1000 rpm.
A HCS12 ATD is set to 10-bit unsigned mode. The voltage references are set to ground and 1.0V What is the ADT output for a temperature of 81 degrees The temperature sensor measures 0 to 100 degrees with an output of 10 mV/degree.
plane polarized light is sent through two consecutive polarizers, the first having its plane of polarization in the same direction as the incident light and the second having its palne at 90 degrees to the original plane of polarization.
Design low pass active filter with a cutoff frequency t at 10kHz or more by 30db and have the pass band gain positive that does not deviate from 20db by more than 3db. The pass band frequency needed is 800Hz and below Derive transfer function
where the assigned loop current leaves the voltage source. If current leaves the voltage source at its positive terminal, the voltage would be positive and if it leaves the voltage source at its negative terminal,the voltage would be negative.
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