Answered: An LRC circuit consists of a…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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An LRC circuit consists of a 17.0-microF capacitor, a resistor, and an inductor connected in series across an ac power source of variable frequency that has a voltage amplitude of 28.0 V. You observe that when the power source frequency is adjusted to 48.5 Hz, the rms current through the circuit has its maximum value of 68.0 mA.

What will be the rms current ?rms if you change the frequency of the power source to 60.0 Hz?

irms=?

Expert Solution

Step 1

The current in series RLC circuit is maximum at resonance frequency and it is given as

$I_{m a x, r m s} = \frac{V_{r m s}}{R} . . . . . . . . . . . . . . . . . . . . . . . . . . (1) w h e r e, I_{\max, rms} = m a x i m u m r m s c u r r e n t i n s e r i e s R L C c i r c u i t V_{r m s} = r m s v o l t a g e o f v o l a t g e s o u r c e R = r e s i s t a n c e$

The resonance frequency of series RLC circuit is given by the expression

$f_{r} = \frac{1}{2 Π \sqrt{L C}} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2) w h e r e, f_{r} = r e s o n a c e f r e q u e n c y L = i n d u c \tan c e C = c a p a c i \tan c e$