Essay
An LCR circuit consists of a resistor R (having resistance R measured in ohms), a capacitor C (having capacitance C measured in farads), and an inductor L (having inductance L measured in henries) and connected in a series together with an electromotive force (such as a battery or generator) E (measured in volts V).
By Kirchhoff's law the charge Q on the capacitor (measured in Coulombs) satisfies the differential equation Note also that the current i (measured in amperes) is the rate of change of Q with respect to time,
Determine the charge Q in a circuit where L = 5 henries, R = 20 ohms, C = 0.01 farad, and E(t) =20
Assume that both the charge and the current are zero at t = 0.
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Q(t) =
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