Capacitors in parallel, Physics

Capacitors in parallel:

Three capacitors are connected in parallel. If on closing the switch S a current I flows in the circuit, then from Kirchoff's first law:

 

459_capcitor in parallel.png

 

I  =  I1  +  I2  +  I3

          therefore   It  =  I1t  +  I2t  +  I3t   (where 't' is the time)

          but             Q  =  It

          therefore   QTOTAL   =  Q1  +  Q2  +  Q3

          therefore      1929_capcitor in parallel1.png    

          but             Q/V  =  C

 

          Therefore  C  =  C1  +  C2  +  C3

Thus, we may replace capacitors in parallel by a single capacitor whose value is given by the above equation.

 

 

Posted Date: 9/13/2012 4:32:01 AM | Location : United States







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