High School

A series LC circuit contains a 102 mH inductor, a 25 mF capacitor, and a 6 V battery. What is the frequency of the electromagnetic oscillations in the circuit (in hertz)?

Answer :

Final answer:

The frequency of electromagnetic oscillations in an LC circuit is determined by its inductor and capacitor values. Just like a mass-spring system, the energy oscillates between the inductive and capacitive elements, and the oscillations occur at a specific frequency. However, in realistic scenarios, there will always be some energy loss due to resistances.

Explanation:

The frequency of the electromagnetic oscillations in a LC series circuit is determined by its inductor and capacitor values, as per the formula: f = 1/(2π√LC). Given that the inductor is 102 mH or 102x10^-3 H, and the capacitor is 25 mF or 25x10^-6 F, we plug in these values and solve the formula to find the frequency in hertz. Just as in an analogous mass-spring system, the energy in the LC circuit oscillates between the inductive and capacitive elements, creating electromagnetic oscillations that occur at a specific frequency. However, it's important to remember that in real-world applications, some energy will be lost over time due to inherent resistances.

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