Question: Suppose a capacitor C, initially charged to a voltage V, is connected to an inductor L. Show that the current in the resulting LC circuit

Suppose a capacitor C, initially charged to a voltage V, is connected to an inductor L. Show that the current in the resulting LC circuit oscillates, I(t) = I₀ sin ?t.Find I₀ and show

w = 1/ VLC.

Sketch the current in the circuit and the voltage across the capacitor as functions of time. An (idealized) circuit like this without resistance would slowly radiate energy away as electromagnetic radiation with frequency ? = ?/2?. Suppose you wanted to construct an oscillator to produce radiation with a frequency of ? = 880 kHz. You have an inductor with inductance 1.5?H. What size capacitor should you choose for your oscillator?

w = 1/ VLC.

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