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Consider the circuit shown in Figure.
a. Write the differential equation for i(t).
b. Find the time constant and the form of the complementary solution.
c. Usually, for an exponential forcing function like this, we would try a particular solution of the form ip(t) = K exp( 2t). Why doesn't that work in this case?
d. Find the particular solution. [Hint: Try a particular solution of the form ip(t) = Ktexp(-2t).]
e. Find the complete solution for i(t).
Hooke's law describes a certain light spring of unstretched length 33.6 cm. When one end is attached to the top of a doorframe and a 7.31 kg object is hung from the other end, the length of the spring is 42.4 cm.
A separately excited DC generator,when running at 1200 RPM, supplies 200A at 125V to a circuit ofconstant resistance. What will the current be when the speed is reduced to 1000 RPM if the field current remains unchanged
Consider the circuit shown in Figure in which the initial inductor current and capacitor voltage are both zero. Write the differential equation for vC(t).
a) Using Shannon's expansion theorem, expand F about the variable d. b) Use expansion in (a) to realize the function using two 3-variable LUTs and a 2-to-1 mux. Specify the LUT inputs. c) Give the truth table for each LUT.
Prove that the potential cannot have a minimum in an uncharged region of space. Prove therefore that a point charge cannot be in stable equilibrium under the action of electrostatic forces in an uncharged region.
If the phisical memory location is 6521H ad the code segment is 1400H what IP address must be used to fetch the instruction
3W light connected to ideal 9V battery with ideal wires a) Draw diagram using circuit symbol for a resistor in place of bulb b) What would current draw from bulb be. I= c)What is if the equivalent resitance of the bulb
Design a suitable amplifier using a combination of these stages. Your design should utilize the minimum number of stages and should ensure that the signal level is not reduced below 10 mV at any point in the amplifier chain.
Assume that in addition to the sine-wave signal you have a dc reference voltage of 1.5 V available. Sketch the output signal waveform.
Two machines and a lighting load are connected in parallel to a 220 V, 60 Hz line. The first machine uses 40 kW of power at 0.81 power factor lagging. The second machine uses 27 kVA at 0.93 power factor leading. The lighting load consumes 13 kW.
Design a second stage (Rin, Rout, and Av) to meet these specifications: a) the two-stage amplifier has an open circuit voltage gain of 120 b) the open circuit voltage gain of the second stage must be in the range 50-100
A terrestrial radio link transmits a CDMA signal from a base station using a spreading code with a chip rate of 1.0 Mchips per seconds. The message data rate of the signal is 10 kbps.
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