Answered: A series RCL circuit contains a 37.7-…

A series RCL circuit contains a 37.7- resistor, a 2.94-μF capacitor, and a 4.94-mH inductor. When the frequency is 2670 Hz, what is the power factor of the circuit?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter15: Alternating-current Circuits

Section: Chapter Questions

Problem 69CP: An RLC series circuit consists of a 50 resistor, a 200F capacitor, and a 120-mN inductor whose coil...

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Question

A series RCL circuit contains a 37.7- resistor, a
2.94-μF capacitor, and a 4.94-mH inductor. When
the frequency is 2670 Hz, what is the power factor
of the circuit?
Number
i
Units
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Step 1: The given quantities are as follows,

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Step 2: Now, find the values of inductive reactance and capacitive reactance,

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Step 3: Put the given values in equation (i), we get

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