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A system (circuit) is governed by the differential equation:
L \(L\frac{dx}{dt}-L\frac{dy}{dt}=Ry(t), t>0\)
a. Find all complex frequencies associated with the system (circuit). Your answer will be in terms of L and R.
b. Suppose L=25mH, but the resistance value,R, is not specified. Find a condition on R so that the circuit is strictly BIBO unstable (i.e., not even marginally stable). Hint: you might not be able to purchase such a resistor at Radio Shack
What is the magnitude of the frequency component at 30 kHz? The square wave is passed through an ideal rectangular low pass filter that completely attenuates all frequencies higher than 35 kHz. Write down an equation for the spectrum at the output ..
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Derive the transmission and reflection coefficients for the case of tunneling through a square potential barrier with 0
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