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1. What are Laplace impedances, and how do they help with circuit analysis problems? How do these impedances compare to the impedances of inductor and capacitor ( j w L and 1/ (jwC) ) that you were taught in the circuit theory class.
2. What are the two properties of Laplace transform that transform differentials and integrals to multiplication and division and lead to Laplace impedances for inductors and capacitors?
3. For a series RL circuit with L = 10 milli Henry, and R= 1Kilo Ohm, use the Laplace transform to find the current in the resistor as a function of time when a step voltage of 1V is applied to the circuit input. Is the waveform of current exponential or some other type?
4. What are the impedances of an inductor and a capacitor (of any value) at a frequency of 0 Hz (DC) and at infinite frequency. Once we know what they are , how can this information help us in analyzing a circuit.
Suppose that a family of logic gates considers the input ranges of [0 - 0.2V] as "0" and [3.1V-3.5V] as "1". 1. What are the reasonable output ranges for "0" and "1" (a) "0": [0.0 - 0.1V], "1": [3.2V - 3.5V];
The simple inexpensive hydro turbo-generator (turbine mated with electric generator) that you intend to buy has a working efficiency of 60%. Answer the following (show your work).
A waveform generator has been setup with a square wave output at 4.0kHz with a 81% duty cycle. If the peak-to-peak output amplitude has been set to 6.0V, with an offset of -1.0V, what is the maximum voltage of the output waveform
Design a logic circuit to produce a high output only if the input, represented by a 4-bit binary number, is greater than twelve or less than three. Implement a minimized circuit using only NAND gates.
The voltage and current in the Laplace domain for a certain system is given by V (s) = 1/12 1/s^2 +3, I(s) = s/s^2+3. Is this system best described as resistive, capacitive, or inductive?
Four frequencies are applied at the input of a non-linear amplifier. Write down all of the frequency components at the output of the non-linear device. Write down only the first three harmonics.
Give a different equation, in terms of the input and output, to describe the system. Is the system stable?
Determine ideal impulse response using inverse discrete-time Fourier transform. An ideal low-pass filter is described in the frequency-domain by
Compute the homogeneous solution yh(t). Compute the particular solution yp(t).
What RF bandwidth must the radio link provide if the modulation is binary phase shift keying (BPSK)?
A certain 11 V dry-cell battery, completely discharged, requires a current of 100 mA for 1.2 hr to completely recharge. What is the energy storage capacity of the battery, assuming the voltage does not depend on its charge status?
A ripple carry adder is made of full adder cells each having 1 unit of combinational delay. To convert a four-bit ripple carry adder into a four stage pipeline adder proceed as following.
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