# How To Calculate Capacitors In Series And Parallel

## Capacitors in Parallel

When capacitors are connected across each other (side by side) this is called a parallel connection. This is shown below.

To calculate the total overall capacitance of a number of capacitors connected in this way you add up the individual capacitances using the following formula:

CTotal = C1 + C2 + C3 and so on

Example: To calculate the total capacitance for these three capacitors in parallel.

CTotal = C1 + C2 + C3

= 10F + 22F + 47F

= 79F

### Task 1:

Calculate the total capacitance of the following capacitors in parallel.

## Capacitors in Series

When capacitors are connected one after each other this is called connecting in series. This is shown below.

To calculate the total overall capacitance of two capacitors connected in this way you can use the following formula:

Ctotal = | C1 x C2 | and so on |

C1 + C2 |

Example: To calculate the total capacitance for these two capacitors in series.

### Task 2:

Calculate the total capacitance of the following capacitors in series.

### Three or more capacitors in series

To calculate the total overall capacitance of three or more capacitors connected in this way you can use the following formula:

and so on.

Example: To calculate the total capacitance for these three capacitors in series.

### Task 3:

Calculate the total capacitance of the following capacitors in series.

## Answers

### Task 1

1 = 232.2F

2 = 169.0F

3 = 7.0F

### Task 2

1 = 2.48F

2 = 14.99F

3 = 4.11F

### Task 3

1 = 3.33F

2 = 1.167F

3 = 0.35F

**Note**

The capacitor values in this worksheet have been kept high (close to or greater than one). This is to simplify the learning experience. In reality typical capacitor values are much smaller than one.

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i think task 3 is suppose to be 1.167F not 1.67F

Thanks, I've corrected that now!

So far this is the only explanation I've been able to understand. Thanks

Awwnnn....it really amazing it helps alot.

this explanation is simple and easy to understand and like it.

The explanation is clear, but what about the working voltage of two capacitors in parallel? Does it remains the same or individual capacitor voltage rating is added up. Suppose both capacitors are the same working voltage rating

Hi,

The voltage would remain the same.

Rob

Hi, It appears that your examples deal only in capacitors of varying capacitance. It would be useful to include examples of identical capacitors connected in series and parallel.

Series Connected Identical Capacitors.....

Total Capacitance= Nominated Capacitance divided by Total number of Capacitors. EG..

3000 Farad ÷(X5 in series), ...3000F/5=600F.

Parrallel Connected Identical Capacitors......

Total Capacitance=Nominated Capacitance Times Total Number of Capacitors..........

3000Farad X (X5 in parallel)...3000FX5=15,000F

Does away with all the "Long Division Nonsense"

Hi Douglas, The calculation examples will work regardless of the values of the individual capacitors.

Hi i like this calculation of series and parallel

My problem on capacitor are solve

wow!! i really luv this site it is very helpfull.

I like this site it really help me

I need more explanation about COULOUMBS LAW OF ELECLECTROSTATICS, and ITS CALCULATION.

This may be something that we produce a resource for at some point but for now, try google as there is already a lot of information on this online.

I love this Site. Thank you very much, i am going to write exams. now my problem on capacitors has been solved totally. thank you once again

Very very helpful site I like it..

Being a student of class 10th I understood it to how to solve the question of series and parallel combinations of conductors..

The formula for series capacitance does not work for 1F. If you add 1+1+1 you get 3F instead of .333F. Please explain.

Hi Kean, there is still one more step of your calculation left to do, you need to divide 1 by 3 and then you will have your answer for C total. Hope this helps.