Q1: A series RLC circuit has a capacitor with a capacitance of 27.0 μF , an inductor with an inductance of 0.700 H and a resistor with a resistance of 97.0 Ω. The circuit is attached to a source that has a rms voltage of 39.0 V and a frequency of 98.0 Hz. What is the average power loss?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Q1: A series RLC circuit has a capacitor with a capacitance of 27.0 μF , an inductor with an inductance of 0.700 H and a resistor with a resistance of 97.0 Ω. The circuit is attached to a source that has a rms voltage of 39.0 V and a frequency of 98.0 Hz. What is the average power loss?

 

Q2: The "over-the-air" television channel 10 operates between frequencies 192 MHz and 198 MHz, with the video and audio using different parts of this frequency range. To watch (and listen) to the channel properly, the tuner circuit in a television must resonate in the middle of this range (195 MHz) and produce a current over the whole range of at least 50% of the peak current at resonant frequency.

A particular television tuning circuit is built with a 16.2 pF capacitor, a variable inductor, and a variable resistor. What value should the resistor be in order for the current at both 192 MHz and 198 MHz to be at least 50% of the current at the resonant frequency?

Hint:You'll have to first calculate the value of the inductor so that the television tunes to channel 10.

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