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SOLVED:A circuit has in series a resistor R Ω, and inductor of L, H, and a capacitor of C farads. The initial current is zero and the initial charge on the capacitor is Q0 coulombs. (a) Show that the charge and the current are damped oscillatory functions of time if and only if R<2 √(L / C), and find the expressions for the charge and the current in this case. (b) If R ≥2 √(L / C), discuss the nature of the charge and the current as functions of time.

SOLVED:A circuit has in series a resistor R Ω, and inductor of L, H, …

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