Halliday, Fundamentals of Physics, 10e l System Announcements unread) PRINTER VE

Question

Halliday, Fundamentals of Physics, 10e l System Announcements unread) PRINTER VERSION .BACx MENT Chapter 31, Problem o48 a Your answer is partially correct. Try again. The figure shows a driven Ruc lt that contains two identical capactors and switches. The e amplitude is set at 11.5 v, and the driving frequency is set at 57.6 Hz. With both switches open, two ed and switch s2 still open, the emf leads the current by 15.3°. with both switches closed, the current the current leads the emf by with swit S1 amplitude is 4ss mA. what are (a) R, (b) c, and (c) L? (a) N 92.388 unit a (b) Nu 105.2 Units (c) Number i Units click if you would like to show work for this question Qpen Show Work HINT GO TUTORIAL LINK TO TEXT LINK TO SAMPLE PROBLEM LINK TO SAMPLE PROBLEM LINK TO SAMPLE PROBLEM LINK TO SAMPLE PROBLEM LINK TO SAMPLE PROBLE VIDEO MINI-LECTURE

Explanation / Answer

48.

a)

Impedance

Z=V/I=11.5/0.455=25.27 ohms

Resistance

R=Z/tan15.3 =25.27/tan15.3=92.389 ohms

b)

impedance

Z'=92.389tan(-30.2)=-53.77 ohms

with switch 1 implies ,capacitive reactance

XC=25.27-(-53.77)=79.04 ohms

Capacitance is given by

C=1/2pifXc=1/2pi*57.6*79.04

C=3.5*10-5 F or 35 uF

c)

Inductive reactance

XL=XC+Xnet=79.04+25.27=104.3 ohms

inductance is given by

L=XL/2pif =104.3/2pi*57.6

L=0.2882 H or 288.2 mH

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