An L-R-C series circuit is constructed using a 175-Ω resistor, a 12.5- μ F capacitor, and an 8.00-mH inductor, all connected across an ac source having a variable frequency and a voltage amplitude of 25.0 V. (a) At what angular frequency will the impedance be smallest, and what is the impedance at this frequency? (b) At the angular frequency in part (a), what is the maximum current through the inductor? (c) At the angular frequency in part (a), find the potential difference across the ac source, the resistor, the capacitor, and the inductor at the instant that the current is equal to one-half its greatest positive value, (d) In part (c), how are the potential differences across the resistor, inductor, and capacitor related to the potential difference across the ac source?
An L-R-C series circuit is constructed using a 175-Ω resistor, a 12.5- μ F capacitor, and an 8.00-mH inductor, all connected across an ac source having a variable frequency and a voltage amplitude of 25.0 V. (a) At what angular frequency will the impedance be smallest, and what is the impedance at this frequency? (b) At the angular frequency in part (a), what is the maximum current through the inductor? (c) At the angular frequency in part (a), find the potential difference across the ac source, the resistor, the capacitor, and the inductor at the instant that the current is equal to one-half its greatest positive value, (d) In part (c), how are the potential differences across the resistor, inductor, and capacitor related to the potential difference across the ac source?
An L-R-C series circuit is constructed using a 175-Ω resistor, a 12.5-μF capacitor, and an 8.00-mH inductor, all connected across an ac source having a variable frequency and a voltage amplitude of 25.0 V. (a) At what angular frequency will the impedance be smallest, and what is the impedance at this frequency? (b) At the angular frequency in part (a), what is the maximum current through the inductor? (c) At the angular frequency in part (a), find the potential difference across the ac source, the resistor, the capacitor, and the inductor at the instant that the current is equal to one-half its greatest positive value, (d) In part (c), how are the potential differences across the resistor, inductor, and capacitor related to the potential difference across the ac source?
An L-R-C series circuit is constructed using a 175 Ω resistor, a 12.5 mF capacitor, and an 8.00 mH inductor, all connected across an ac source having a variable frequency and a voltage amplitude of 25.0 V. (a) At what angular frequency will the impedance be smallest, and what is the impedance at this frequency? (b) At the angular frequency in part (a), what is the maximum current through the inductor? (c) At the angular frequency in part (a), find the potential difference across the ac source, the resistor, the capacitor, and the inductor at the instant that the current is equal to one-half its greatest positive value. (d) In part (c), how are the potential differences across the resistor, inductor, and capacitor related to the potential difference across the ac source?
A LRC series circuit consists of a 1.50 µF capacitor, a 6.00 mH inductor, and a 71.0 N resistor that
are connected across an AC voltage supply with maximum voltage of Vmax = 13.0 V.
(a) What must be the frequency of the AC voltage supply for the average power delivered to the
circuit to be Vrms!rms?
An AC voltage with an amplitude of 100 V is applied to a series combination of 200 F capacitor, a 100-mH inductor, and a 20.0- 1 resistor. Calculate the power
dissipation and the power factor for frequencies of (a) 60.0 Hz and (b) 50.0 Hz.
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