How Is Maximum Voltage Across a Capacitor Calculated in an LRC Circuit?

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The maximum voltage across a capacitor in an LRC series circuit is calculated differently for AC and DC inputs. For DC, the voltage across the capacitor equals the supply voltage (Vc = Vcc). In contrast, for AC, the maximum voltage depends on the frequency of the input voltage and the circuit's impedance, calculated using the formula Z = √(R² + (Xl - Xc)²), where Xl is inductive reactance and Xc is capacitive reactance. The voltage across the capacitor will vary over time due to the changing nature of the AC supply. Understanding these calculations is essential for analyzing LRC circuits effectively.
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How do you calculate the maximum voltage across a capacitor in an L,R,C series circuit?
 
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It depends on the input current, is it AC or DC?

If DC then Vc=Vcc (V across cap=supply )
If AC then it depends on the Fq of Vcc and the impedance of the LRC circuit. ( which is a characteristic of their respective values)
Where: Z= Sqrt (R^2 * ((Xl-Xc) ^2))
WhereXl is inductive reactance and Xc is capacitive reactance

The answer will be a point in time of a value that changes over time. In other words since Vcc varies over time (Fq) so will the voltage over time.
 
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