Solved: (RLC circuit) The circuit in the figure consists
Chapter 4, Problem 28E(choose chapter or problem)
(RLC circuit) The circuit in the figure consists of a resistor (R ohms), an inductor (L henrys), a capacitor (C farads), and an initial voltage source. Let and suppose R, L, and C have been selected so that b also equals (This is done, for instance, when the circuit is used in a voltmeter.) Let v(t) be the voltage (in volts) at time t , measured across the capacitor. It can be shown that v is in the null space H of the linear transformation that maps and H consists of all functions of the form Find a basis for H.
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