Answer :
Final answer:
The current flowing through the capacitor can be calculated using the formula for current in a capacitor and the given values of capacitance, voltage, and frequency. At 59.1 Hz, the current is 0.113 mA, and at 25.1 kHz, the current is 0.079 A.
Explanation:
a) To calculate the current flowing through a capacitor when a 59.1 Hz, 482 VAC source is connected to a 0.249uF capacitor, we can use the formula:
Current (I) = Capacitance (C) × Voltage (V) × Angular Frequency (ω)
First, we need to convert the capacitance from microfarads (uF) to farads (F).
0.249uF = 0.249 × 10-6 F
Then, we can calculate the current:
I = (0.249 × 10-6 F) × (482 V) × (2π × 59.1 Hz) = 0.113 mA (milliamperes)
b) To find the current at 25.1kHz, we use the same formula with a different angular frequency:
I = (0.249 × 10-6 F) × (482 V) × (2π × 25.1 kHz) = 0.079 A (amperes)
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