Question

derive an expression for equivalent capacitance when capacitors are connected in series​

Answer 1

• Series connections produce a total capacitance that is less than that of any of the individual capacitors. We can find an expression for the total capacitance by considering the voltage across the individual capacitors

capacitors in series : when capacitance are connected in series, the charge remains constant but voltage varies, so

V = V1+V2+V3.

we know that C=Q/V implies V=Q/C

therefore , 

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

1/C  = 1/C1  + 1/C2  + 1/C3

is the resultant capacitance when capacitors are connected in series.

Answer 2

Answer:

 Series connections produce a total capacitance that is less than that of any of the individual capacitors. We can find an expression for the total capacitance by considering the voltage across the individual capacitors

Explanation:

capacitors in series : when capacitance are connected in series, the charge remains constant but voltage varies, so

V = V1+V2+V3.

we know that C=Q/V implies V=Q/C

therefore ,  

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

1/C  = 1/C1  + 1/C2  + 1/C3

is the resultant capacitance when capacitors are connected in series.