Final answer:
The rms current flowing through the circuit can be calculated using the formula Irms = Vrms/Xc, where Vrms is the rms voltage and Xc is the capacitive reactance. The rms current is 4.28 A for a frequency of 58.5 Hz and 54.05 A for a frequency of 0.15 kHz.
Step-by-step explanation:
To find the rms current flowing through the circuit, we need to calculate the capacitive reactance first. The formula for capacitive reactance is given by Xc = 1/(2πfC), where Xc is the capacitive reactance, f is the frequency, and C is the capacitance.
Using the given values, at a frequency of 58.5 Hz and a capacitance of 26.5 uF, we can calculate Xc as follows:
Xc = 1/(2π * 58.5 * 26.5 * 10^-6) = 112.15 Ω
The rms current, Irms, can be calculated using the formula Irms = Vrms/Xc, where Vrms is the rms voltage of the AC source:
Irms = 480 V / 112.15 Ω = 4.28 A
If we change the source frequency to 0.15 kHz (150 Hz), we can calculate the new capacitive reactance and rms current using the same formulas:
Xc = 1/(2π * 150 * 26.5 * 10^-6) = 8.89 Ω
Irms = 480 V / 8.89 Ω = 54.05 A