Grouping of capacitors Assignment Help

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Series Grouping

Charge on every capacitor remains equals and same to the main charge supplied by the battery

 V = V1+V2+V3  

2100_Grouping of capacitors.png

Equivalent capacitance:     1221_Grouping of capacitors1.png

In series combination potential difference and energy distribution in the reverse ratio of capacitance i.e.,

                        V ∝ 1/C   and U ∝ 1/C     .

If two capacitors having capacitances C2 and C1 are interconnected in series then,

865_Grouping of capacitors2.png

If n similar capacitors each having capacitances C are connected in series with supply voltage V then Equivalent capacitance  and energy difference across each capacitor .

 

 parallel grouping 

Potential difference across every capacitor remains same and equal to the applied potential difference

 Q = Q1+Q2+Q3

1525_Grouping of capacitors3.png

Equivalent capacitance

C = C1+C2+C3

In parallel connection charge and energy distributes in the ratio of capacitance

i.e.      Q ∝ C   and U ∝ C 

If two different capacitors having capacitance C1 and C2 respectively are connected in parallel then

1531_Grouping of capacitors4.png

If n identical capacitors are interconnected in parallel Equivalent capacitance Ceq = nC and Charge on each capacitor .

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