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Consider a series RLC circuit excited by a sinusoidal source of 20 V resonates at a frequency of 50 Hz. If the bandwidth is 4 Hz, what will be the voltage across the capacitor?

Question

Consider a series RLC circuit excited by a sinusoidal source of 20 V resonates at a frequency of 50 Hz. If the bandwidth is 4 Hz, what will be the voltage across the capacitor?

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Solution

To find the voltage across the capacitor in a series RLC circuit, we need to know the values of the resistance (R), inductance (L), and capacitance (C). However, these values are not provided in the question.

The resonance frequency and bandwidth can help us find the quality factor (Q) of the circuit, which is a measure of how well the circuit is tuned. The quality factor is given by the formula:

Q = Resonance frequency / Bandwidth

Substituting the given values:

Q = 50 Hz / 4 Hz = 12.5

The voltage across the capacitor at resonance can be found using the formula:

Vc = Q * Vsource

Substituting the given values:

Vc = 12.5 * 20 V = 250 V

So, the voltage across the capacitor is 250 V.

This problem has been solved

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