Hi, what are you looking for?  # Resistors in Series and Resistors in Parallel Combination

## Resistors in Series:

A combination in which resistors are connected in a sequential manner is called as Resistors in Series. A resistor in series combination possesses the same current throughout the series. This can further be explained by the following expression.

Let  Req be the Equivalent Resistance.

Let R1 and R2 be the Individual Resistances.

V=V1+V2

Req=V/I               (By Ohm’s Law)

Req= (V1+V2)/I

= V1/I  +  V2/I

Req= R1+R2

The Equivalent Resistance of Resistors connected in series is equal to the Sum of Individual Resistances.

## Resistors in Parallel:

A combination in which the Resistors are connected in a parallel (nonsequential manner) is called as Resistors in parallel.  In this parallel combination, the voltage remains same. This can further be explained by the following expression.

Let  Req be the Equivalent Resistance.

Let R1 and R2 be the Individual Resistances.

I=I1 + I2

1/Req  = I/V

1/Req  =I1/V + I2/V

1/Req  = 1/R1 + 1/R2

The reciprocal of Equivalent resistance is equal to the sum of equal to the sum of reciprocals of an individual resistances.

Req      = (R1R2)/(R1+R2)

The Equivalent Resistance of Resistors connected in a parallel combination is equal to the Product of Resistances divided by their sum.

For the sake of explanation, only two resistors are used here. But in practice, there were “n” number of resistors in a circuit. In a circuit, there might be both series and parallel combination.

For “n” number of resistors, it will be difficult to calculate the Equivalent Resistances. So make the calculations user-friendly many theorems were introduced. One can use the above method or theorem depending on the complexity. You will get the same final answer though there would be some approximations on using different methods. For final answers, you can round off the value to the whole number. Theorems will be updated soon.

### 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....

### Basics

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

### Law

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

### Sports

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

### Business

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...

### CBD

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...

### Sports

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...