Question

5. Derive an expression for the effective capacitance when capacitors are connected

in (a) series and (b) parallel

Answer 1

hello friend!! your answer is here..!!


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.

capacitors in parallel:
when capacitance are connected in parallel, then charge varies but voltage remains constant so,
Q = Q1 + Q2 + Q3 
we know that C = Q/V implies Q = CV 
therefore,
CV = C1V + C2V + C3V
implies 
C = C1 + C2 +C3
is the resultant capacitance when capacitors are connected parallel.

hope my answer is useful to you..!!

Answer 2

Answer:

When capacitors are connected one after another, they are said to be in series. For capacitors in series, the total capacitance can be found by adding the reciprocals of the individual capacitances, and taking the reciprocal of the sum

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.

capacitors in parallel:

when capacitance are connected in parallel, then charge varies but voltage remains constant so,

Q = Q1 + Q2 + Q3

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

therefore,

CV = C1V + C2V + C3V

implies

C = C1 + C2 +C3

is the resultant capacitance when capacitors are connected parallel.

Derive an expression for the effective capacitance when capacitors are connected

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