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1.A voltage is described as v(t) = 3u(t) - 3u(t-3) V where u(t) is the step function. The values at t = 2 seconds and t = 4 seconds are x and y respectively, where:
A) x = 3 V and y = -3 V.
B) x = 0 V and y = 3 V.
C) x = 3 V and y = 0 V.
2. A current is described by the function i(t) = 5cos(1000t - 2) mA. The argument of the cosine is in radians and t is in seconds. The frequency may be expressed as:
A) 2 radians/s
B) 1000 Hz
C) 159 Hz
D) 159 radians/s
E) 2 Hz
F) 6280 Hz
3. Consider the signal v(t) = 10cos3000t + 10sin3000t. The peak-to-peak value is:
A) 28.28 V
B) 14.14 V
C) 10 V
D) 20 V
4. A current i(t) = 10r(t) mA is applied to a 10 mF capacitor for t > 0, where r(t) is the ramp function. At t= 0, the capacitor voltage was zero. The voltage across the capacitor at t = 2 s is:
A) 2.0 V
B) 0.5 V
C) 2.5 V
D) 1.5 V
E) 1.0 V
5. The voltage applied to a 100 mF capacitor is v(t) = 10r(t) V. The current through the capacitor at t = 2 s is:
A) 1.0 V
B) 2.0 V
C) 500 mV
D) 5.0 V
E) 200 mV
A three phase synchronous generator operates onto a grid bus of voltage 33 kv (line to line). The armature reactance of the machine is 2 ohms per phase and the leakage reactance is 3 ohms per phase.
Derive a state diagram for a Finite State Machine(FSM) that has an input w and an output z. The machine has to generate z = 1 when the privious four values of w were 1001 or 1111; otherwise, z = 0. Overlapping input patterns are allowed.
a) Calculates the average of the contents of the data array b) Calculates the product of the contents of the data array c) Calculates the product of the elements of the even rows of the data array d) Calculates the product of the elements of the even..
A coil with an impedence of 64.1 angle 51.4 degrees is connected in series with a resistance 22.5 ohms. The combination is supplied by 120 V source. Determine the coil and resistor voltages and the overall power factor.
A sequential circuit receives decimal numbers encoded in BCD one digit (4 bits) at a time, starting with the least significant digit. The circuit outputs are the 10's complement of the input number, also encoded in BCD least significant digit firs..
An electric bass amp is advertised as being able to deliver 200 Watts toan 8 Ohm speaker and 300 Watts to an 4 Ohm speaker. If the amp is a voltage source with an internal resistance, what is the value of the internal resistance
Estimate the diffusivity of a spherically shaped protein with a MW of 36,000 in water at 37oC.
An analog system has a bandwidth of 10 MHz, a photodetector of = 0.5 A/W and ID = 1 nA, and a signal to noise ratio (SNR) of 30 dB. The receiver's temperature is 270 C and the load resistance is 50 .
A 50HP single phase motor operates from a 480V, 60HZ supply. When delivering full rated power the motor efficiency is 89% and the power factor is 0.78 lagging. Determine the full load current.(Hint: 746W=1HP)
Design by direct implementation the electronic circuits for equations as the following logic equations using any real 1, 2, or 3 input logic gates. Assume all signals are high true (positive logic) and do not simplify the equations.
Write a C-Program that tells whether or not there are repeated cards amoung a 2-d array[4][13]. It returns "true" if it does. The program needs a function to determine whether or not it has repeated cards.
any noise will pass straight through to the ADC subsystem, introducing measurement error. You have two choices to mitigate this: SW filtering and HW filtering. Either way around, you need a HW anti-aliasing (low pass) filter following the output.
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