Connect with us

Hi, what are you looking for?

Capacitor in Series and Capacitor in Parallel
Capacitor in Series and Capacitor in Parallel

Circuit Theory

Capacitor in Series and Capacitor in Parallel

In this post, I had explained about the Capacitor in Series and Capacitor in Parallel combination. If you want to know about what Capacitor is and its types, check this post.

Also, read: Resistors in Series & Resistors in Parallel

The capacitor in Series & Capacitor in Parallel

Capacitors in Series:

Let Capacitance C1, C2 and C3 be the three capacitors connected in series. Let ‘V’ be the potential difference applied across the series. Let ‘q’ be the charge carried by each capacitor which is connected in series. Let V1, V2, and V3 be the potential difference across the capacitors C1, C2, and C3.

The figure shows the series combination of capacitors.

capacitors in Series

V = V1 + V2 + V3

The potential difference V = q/C

C can be written as Cs since the capacitors are connected in series.

q/Cs = q/C1 + q/C2 + q/C3

q/Cs = q [(1/C1) + (1/C2) + (1/C3)]

1/Cs = (1/C1) + (1/C2) + (1/C3)


1/Cs = (C2C3 + C1C3 + C1C2)/C1C2C3


Cs = C1C2C3/ (C2C3 + C1C3 + C1C2)

When ‘n’ number of capacitors are connected in series, the reciprocal of effective capacitance is obtained by the sum of reciprocals of individual capacitors.

Also, Read: Ohms law def | Example Problem also included

Capacitors in Parallel:

Let three capacitors of capacitances C1, C2 and C3 are connected in parallel. Let ‘V’ be the potential difference of this parallel combination. The Potential difference across each capacitor is the same.

capacitors in Parallel

The figure shows the parallel combination of the capacitors.

The charges on three capacitors are,

q1 = C1 V

q2 = C2 V

q3 = C3 V

The total charge ‘q’ is

q = q1 + q2 + q3

CV = C1 V + C2 V + C3 V

Since it is a parallel combination we can write C as Cp

Cp V = C1 V + C2 V + C3 V

Cp = C1 + C2 + C3

Also, Read: Calculate | Equivalent Resistance?

Kirchoff’s current law & Kirchoff’s voltage law

When ‘n’ number of capacitors are connected in parallel, the effective capacitance of the parallel combination is equal to the capacitance of sum of the individual Capacitors.

Have a look at these topics: 






You May Also Like

Digital Logic Circuits

Excess-3 to BCD converter In this post on code conversions, we are going to see Excess-3 to BCD converter using k map technique.  K-map If you...

Digital Logic Circuits

BCD to Excess-3 converter In this post on a code converter, we are going to see BCD to Excess-3 converter using the k-mapping technique....


The Scientific Calculator is an advanced version of an ordinary calculator which helps us to solve complex arithmetic problems. The Normal Calculator consists of...



For those of you who are waiting for their personal injury claim to be processed, your case might be rejected if it already has...


Gambling is a type of activity that can attract almost all the people towards itself and behind this strong attracting power of gambling stays...


Many companies today create strategic business growth plans. However, the process doesn’t bear any fruits. This means the company wasted time and resources to...

Health Care

It’s an incredible feeling when you make the choice to go vegan! You realize how much willpower you truly have, and your body immediately...


With the rise of the kingdom of premium e-juice flavours, the elderly throne of cheap vape juices has been overshadowed by it. The most...


Mistakes should cheap money-back guarantee is extremely true in online casino gambling. However, there are just some players or gamblers of which are rich...