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Solving State Variable Equations With zero input, a series RLC circuit can be described by the following coupled first-order equations in the inductor current iL(t) and capacitor voltage vC(t).
(a) Transform these equations into the s domain and solve for the transforms IL(s) and VC(s) in terms of the initial conditions iL(0) = I0 and vC(0) = V0.
(b) Find iL(t) and vC(t) for R = 100 Ω, L = 100 mH, C = 1 μF, I0 = 10 mA, and V0 = 15 V.
Two identical automobile headlamps are connected across a 12Vbattery. If the total current from the battery is measured to be6.5A, what is the current running through each head lamp.
input voltage to an amplifier is: Vi(t)=0.1*cons(2000*pi*t+30) and the output voltage is: Vo(t)=10*sin(2000*pi*t+15) Find the complex voltage gain of the amplifier at f = 1kHz and express the magnitude of the gain in decibels.
Find and draw the Thévenin equivalent of the circuit shown. The load resistor is RL.- Find and draw the Norton equivalent of the same circuit.
Draw a noninverting op amp and derive the formula for voltage gain.
1) Apply nodal analysis to write a set of equations in terms of the node voltages ν1,ν2,ν3, and ν4?
An electron is traveling horizontally along the positive x-axis at a speed 3.00 x 106 m/s. After it passes the origin, it enters a constant E field with a strength of 200 N/C and directed 45 degrees up from the x-axis.
Figure P4.1 shows a neural network involving a single hidden neuron for solving the XOR problem; this network may be viewed as an alternative to that considered in Section 4.5. Show that the network of Fig. P4.1 solves the XOR problem by constucti..
Draw a few stages of the L-type circuit model and write down the two differential equations for the RL and RC parts of the stage, and solve these equations -
Suppose you have an Analog-to-Digital Converter (or ADC) with 12 bits of precision, and the manufacturer claims it has the transfer function x = floor(4096×v/5 ) for input voltage vΣ [0, 4.9999] (where x is the digitized result you get).
A PN junction has a doping concentration of 10^15, 10^16, or 10^17 cm-3 on the lightly doped n-side and of 10^19 cm-3 on the heavily doped p-side. Obtain series of curves of 1/(C^2) vs. V, where V rages from -4V to 0V in steps of 0.5 V.
Describe the performance differences between an AM and FM system. Be sure toinclude parameters suchas: Power efficiency, spectral efficiency,noise immunity,and performance.
Suppose you are driving inside a tunnel. Assume that each of the two tunnels is 22ft wide and 13.5 ft tall. 1. Can you receive an AM radio signal in an automobile 2. Also determine weather FM signals can be received inside the tunnel.
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