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 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.
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.
What are the potential difference: v, vR, vC, vL
An L-R-C series circuit consists of a 2.70 μF capacitor, a 5.00 mH inductor, and a 50.0 Ω resistor connected across an ac source of voltage amplitude 14.0 V having variable frequency.
A. Under the conditions of part A (ω = 2.09×104 rad/s), what is the average power delivered to each circuit element? (PR,PC,PL)
B. What is the maximum current through the capacitor?
In an L-R-C series circuit, suppose R = 300 ohms, L = 60 mH, C = 0.50 uF, V = 50 V, and w = 10,000 rad/s. Find the 1) reactances XL and XC, 2) the impedance Z, 3) the current amplitude I, 4) the phase angle φ, and 5) the voltage amplitude across each circuit element (inductor, resistor, capacitor).
Chapter 31 Solutions
University Physics with Modern Physics (14th Edition)
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