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a parallel RLC circuit consists of a 2.2 uF capacitor and a 3.3 mH inductor.
a) select a resistor (R1) such that the circuit will be critically damped. Draw the circuit
The initial voltage across the capacitor is 5V and the initial current through the inductor is 100 mA. A switch is thrown at t=0 such that the circuit is connected in parallel with a 50 mA independent current source. Assume that the reference direction for the current source points toward the positive circuit node and that the reference direction for the inductor current points toward the negative circuit node.
b) Find the expression for the critically damped voltage response: V1(t)
c) Replace R1 with an R2=.5(R1). Find the expression for the response: V2(t)
d) Replace R2 with an R3=2(R1). Find the expression for the response: V3(t)
Design a circuit which realizes this filter using Sallen-Key configuration. Find all the values of the circuit elements and determine the DC gain. For sake of easy availability of parts to build the circuit, chose the capacitors needed to be 0.01..
Three identical single phase transformers, each rated at 100KVA, 7KV/3.5KV, are connected as a three phase transformer bank. The high-voltage side of the transformer is connected in delta and the low-voltage side is connected in wye.
A sinusoidal current is zero at t = -0.625 s and increasing at a rate of 8000pi A/s. The maximum amplitude of the current is 5 A. a. What is the frequency of i in radians per second b. What is the expression for i
The 741 op amp is usually modeled on specification sheets as a voltage amplifier having the following parameters: Rin = 1 M, Av = 100,000, and Rout = 100 Using this information, develop equivalent circuits for the 741 as a current amplifier
Consider a causal LTI (Linear-time invariant) system described by the following differential equation: \(\frac{d^2}{dt^2}y(t) + 5\frac{d}{dt}y(t) + 6y(t) = \frac{d}{dt}x(t) + x(t)\) a) Determine the transfer function of this system.
A parallel plate capacitor has gasoline as the dielectric. The area of the plate is 0.25 m^2 and the distance between two plates is 5cm. a. Find the capacitance given that the relative permittivity of gasoline is 2.
A certain load takes 10kW at 0.5pf lagging when connected to a 230V, 60Hz source. The supply company charges a penalty when the power factor fall below 0.8. What size of capacitor must be used in order to avoid penalty
A negative feedback amplifier has a close-loop gain Af=100 and an open-loop gain A=105. What is the feedback factor If a manufacturing error results in a reduction of A to 103, what close-loop gain results
The unknown input impedance of a horn antenna operated at a frequency of 300MHz is measured using a slotted transmission line and a Smith Chart. When the antenna is connected to the slotted line, the VSWR on the line is measured to be 4
For an RC circuit with a time constant of 1.0ms and assuming switch was closed at t=0, i) What is the time for the voltage across resistor to equal 10% of its initial value ii) What is the time for the voltage acro..
Two Random variables have a joint probability distribution function defined by F(x,y)=0 X 1y>1 A). Sketch this distribution function. B). Find the joint probability density function and sketch it.
aluminum has the FCC crystal structure. Its atomic weight is 26.98g/mole, and its density is 2.70g/cm3. Determine the atomic radius of a single aluminum atom.
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