Capacitors In Series And Parallel in circuits

Capacitors in Series:-

With reference of figure,
   let C1, C2, C3 = Capacitances of three capacitors.
        V1, V2; V3 = p.ds. across three capacitors.
                       V  = applied voltage across combination.
                       C  = combined or equivalent or joining capacitance.
In series combination,charge on all capacitors is the same but p.d across each is diff.

                             
               V = V1+V2+V3


Or

Q/C=Q/C1+Q/C2+Q/C3
Or
1/C=1/C1+1/C2+1/C3


For a changing applied voltage          
   dV/dt =dV1/dt+dV2/dt+dV3/dt

We can also find values ofV1,V2 and V3,in terms of V.Now


Q=V1C1=V2C2=V3C3=VC

             C1C2C3
C= --------------------------
      C1C2+C2C3+C3C1


           C1C2C3
C= ---------------------
            ∑ C1C2


C1V1=CV
OR
V1=V•C/C1


              C2C3
V1=V---------------
             ∑C1C2



              C1C3
V2=V---------------
             ∑C1C2



              C2C1
V3=V---------------
             ∑C1C2

Capacitors in Series

Capacitors in parallel:-

In this case,p.d across each is the same but charge on each is different.....

Q=Q1+Q2+Q3

OR

CV=C1V+C2V+C3V

OR

C=C1+C2+C3


For such a combination,dv/dt is the same for all capacitors.

Capacitors in parallel

Imp Topic....👇👇

Energy Stored In A Capacitor





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