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When the input x(t) = 5u(t) is applied to a linear second-order circuit the response of the state variable is y(t) = 10e^(-100t)-5e^(-200t) + 5
a) What are the initial conditions y(0) and y'(0)?
b) For the same initial conditions, what is the response when the input is x(t) = 20u(t)?
c) Design a simple RLC circuit that would produce all of these responses.
d) It is claimed that the zero-state response of the circuit for an x(t) = 10e^(-50t)u(t) is y(t) = 10e^(-50t) - 15e^(-100t) + 5e^(-200t)
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Multiple charges at different locations are said to be in equilibrium if the force acting on any one of them is identical in magnitude and direction to the force acting on any of the others. Suppose we have two negative charges
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1. The voltage gain of an 11.2 kHz low-pass filter is -12 dB; what is its numeric gain 2. Two amplifiers are cascaded, one with a voltage gain of 6.02 db and the other with a voltage gain of 12. If 10 mV is measured at the input of the second ampl..
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When disconnected and fully charged, the voltage across the battery terminals is measured to be 13.8 V. When connected to a load that dissipates 18 W of power, the terminal voltage of the battery decreases to 12 V.
the discrete-time systems, where y[n] and x[n] are, respectively the output and the imput sequences, determine whether or not the system is (1) linear, (2) causal, (3) stable, and (4) shift-invariant: y[n] = x[n+3];
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