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A series RCL circuit includes a resistance of 303 Ohm, an inductive reactance of

ID: 1622213 • Letter: A

Question

A series RCL circuit includes a resistance of 303 Ohm, an inductive reactance of 679 Ohm, and a capacitive reactance of 429 Ohm. The current in the circuit is 0.229 A. What is the voltage of the generator? V A series RCL circuit has a resonant frequency of 780 kHz. If the value of the capacitance is 1.90 times 10^-9 F, what is the value of the inductance? H A 10.0-Ohm resistor, a 12.0-mu F capacitor, and a 17.0-mH inductor are connected in series with a 165-V generator. (a) At what frequency is the current a maximum? ______ Hz (b) What is the maximum value of the rms current? ______ A An echo is sound that returns to you after being reflected from a distant surface (e.g., the side of a cliff). Assuming that the distances involved are the same, an echo under water and an echo in air return to you at the same time. at different times, the echo under water returning more slowly. at different times, the echo under water returning more quickly. Correct. Sound travels faster in liquids than in gases. The greater speed in water ensures that the echo will return more quickly in water than in air. A source emits sound uniformly in all directions. There are no reflections of the sound. At a distance of 12 m from the source, the intensity of the sound is 1.9 times 10^-3 w/m^2. What is the total sound power P emitted by the source? P = W

Explanation / Answer

here,

resistance , R = 10 ohm

capacitor , C = 12 uF = 12 * 10^-6 F

inductance , L = 17 mH

L = 0.017 H

a)

the frequency , f = 1/sqrt(L*C)

f = 1/sqrt(0.017 * 12 * 10^-6) Hz

f = 2214.04 Hz

b)

the maximum value of rms current , Irms = Vrms /R

Irms = 165 /10 A

Irms = 16.5 A

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