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An electron beam coming from an electron gun (shown below) consists of electrons that are uniformly distributed within a cylindrical region of space having a radius a = 1 [mm]. The axis of the cylinder is along the z axis, and the electrons are moving with a velocity vector v in the positive z direction. The velocity of the electrons is 0.1c where c is the speed of light (2.99792458 ´ 108 [m/s]). The magnitude of the current in the beam is 1 Amp.
a) Calculate the spacing between the electrons, assuming that they are arranged on a rectangular cubical lattice, with spacing between adjacent electrons in the x, y, and z directions.
A telephone switching board can handle 120 phones. Assuming the following, and determine the outgoing traffic intensity and the number of channels
Assume the z0 is in the far field and derive an expression for the strength to return as a function of angle. Make approximations where appropriate and do not forget the sidelobes.
the solutions at both frequencies about a total transit time of 1000 years (speed of light in a vacuum result) such that subtracting one from the other leaves just the delay that is of order of 1 second.
Design an interface for a ±24 V, 500 mA geared DC motor. The time constant of the motor is 10 ms. Include software to adjust the delivered power from 0 to 100%.
You have a bandwidth of 10 MHz (per direction) in a single-cell system and want to deploy a wireless telephone system. You have the following options: analog 30-kHz channels (as in AMPS)
Design a circuit using JK flip-flops that takes in a binary stream B0B1B2B3 and outputs 1 at a time t if the stream recieved thusfar (i.e. BoB1..Bt-1Bt), when read as an unsigned binary number, is divisible by 3.
Desing a mod-16 asynchrous ripple up counter by using j-k flip-flops. You need to design a j-k flip flop first and use it as the component in mod-16 up counter design. Show both j-k flip-flop design implementation results .
Determine the Laplace transform of the above signals (use properties of the Laplace transform) including the corresponding region of convergence.
Digitizing an Audio Signal, PAM, ADC, An audio signal has a bandwidth that extends from 100 Hz to 10 kHz. The signal is sampled to create a PAM signal and then digitized by an analog to digital converter (ADC) that has 8 bits.
Compute and plot the correlation sequences r s1s2 (l), r s0s0 (l), r s1s0 (l) and r s2s0 (l) . Compute and plot the cross-correlation sequences and of the received signal with the template signals and s 2 (n).
Concider an ac circuit source with an rms amplitude Irms connected to a parallel RLC circuit with resistance R, inductance L, and capacitance C. Derive an expression for the time-average power dissipated by the circuit
A semiconductor, in thermal equilibrium, has a hole concentration of p0 = 2x1016 cm-3. The minority carrier life time = 3x10-7 s. (Assume, ni = 1010 cm-3)
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