Voltage Across 1K Resistor in AC 250V 60Hz Circuit with Series Capacitor

The discussion addresses the calculation of voltage across a 1kΩ resistor in series with a 0.25µF capacitor connected to a 250VAC, 60Hz source. The capacitive reactance (Xc) is calculated as approximately 10.6kΩ at 60Hz, leading to a total impedance (Z) of about 10.65kΩ when combined with the resistor. The resulting current is approximately 23.5mA, producing a voltage drop across the resistor of about 23.5VAC. Power dissipation in the resistor is estimated at around 0.55W, indicating that a 1W resistor rating is sufficient. Earlier calculations using 50Hz and incorrect power formulas were corrected to reflect the proper frequency and vector sum of impedance. The discussion also notes the importance of current limiting upstream to prevent resistor damage.
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