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What is the differential equation that an LC circuit satisfies?

User LWZ
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Final answer:

An LC circuit satisfies the differential equation: d^2q/dt^2 + (1/LC)q = 0, where q(t) represents the charge on the capacitor as a function of time and L and C are the inductance and capacitance of the circuit respectively.

Step-by-step explanation:

An LC circuit is a circuit that consists of an inductor (L) and a capacitor (C) connected in series. The differential equation that an LC circuit satisfies is:

d2q/dt2 + (1/LC)q = 0

Where q(t) represents the charge on the capacitor as a function of time and L and C are the inductance and capacitance of the circuit respectively.

User Vasanti
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