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posted by  Derby on 11/4/2009 7:19:05 PM  |  status: Closed  |  Earned Karma: 55

capacitive reactance

Course Textbook Chapter Problem Needs by
General Physics N/A N/A N/A 11/5/2009 at 9:00:00 PM
Question Details:
In an RLC series circuit the capacitive reactance is 24 Ω.  If the AC frequency doubles, what will be the resulting capacitive reactance?
a.  24 Ω
b.  12 Ω
c.  48 Ω
d.  additional information is needed to find the value
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(SME)
posted by christina.S on 11/4/2009 7:32:05 PM  |  status: Live
Asker's Rating: Lifesaver   
Response Details:
Given :
.
            Capacitive resistance (XC1)  =  24 Ω
.
            and   f2    =  2  f1 
.
            We know that :
.
                     XC   =  1 /2πf C 
.
            From the above equation , Capacitive resistance is inversly proportional to frequency.
.
         or  XC1 * f1  =     XC2 * f2   
.
         or      XC2     =   ( XC1 * f1  ) /  f2   
.
                             =   (24 *  f1 ) / ( 2 *  f1 )   =  12 Ω      
.
Hope this helps u!            
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