Question

Derive the expressen for resultant
capacitance when capacitors are connecter ​

Answer 1

when capacitor are connected in series the charge remains constant and voltage changes, so

$V=V

1

+V

2

+V

3

We know that

C=

V

Q

⇒V=

C

Q

C

eff

Q

=

C

1

Q

+

C

2

Q

+

C

3

Q

C

eff

1

=

C

1

1

+

C

2

1

+

C

3

1

Capacitor is parallel:

When capacitor are connected in parallel charge varies but voltage remains constant i

C

eff

V=

C

1

1

+

C

2

1

+

C

3

1

⇒C

eff

=C

1

+C

2

+C

3