# How many combinations of resistance are there?

Table of Contents

- 1 How many combinations of resistance are there?
- 2 Which are the possible combinations of connecting resistors in a circuit?
- 3 How many ways can you connect 4 resistors?
- 4 When and resistance Each of value R are connected in parallel?
- 5 How do you calculate the total resistance of a circuit?
- 6 How do you find the equivalent resistance of two different resistors?
- 7 What is meant by connecting resistors in series?

## How many combinations of resistance are there?

Answer: There is 2 combinations are possible.

## Which are the possible combinations of connecting resistors in a circuit?

The simplest combinations of resistors are series and parallel connections (Figure 6.2. 1). In a series circuit, the output current of the first resistor flows into the input of the second resistor; therefore, the current is the same in each resistor.

**How would you connect three resistors of 6 Ohm each to get an equivalent resistance of 4 ohm?**

(ii) To obtain a combined resistance of 4 ohms, two resistors (of 6 ohms each) are connected in series and one in parallel to the series.

### How many ways can you connect 4 resistors?

You can have 4 combinations.

### When and resistance Each of value R are connected in parallel?

The equivalent resistance of “N” resistances each of value “r” when connected in parallel is r/n. 1/R = 1/r + 1/r + 1/r +… where R is the equivalent resistance and r is the individual resistance of the resistors.

**How do you find multiple resistors in parallel?**

The sum of the currents through each path is equal to the total current that flows from the source. You can find total resistance in a Parallel circuit with the following formula: 1/Rt = 1/R1 + 1/R2 + 1/R3 +… If one of the parallel paths is broken, current will continue to flow in all the other paths.

#### How do you calculate the total resistance of a circuit?

To calculate the total overall resistance of a number of resistors connected in this way you add up the individual resistances. This is done using the following formula: Rtotal = R1 + R2 +R3 and so on. Example: To calculate the total resistance for these three resistors in series.

#### How do you find the equivalent resistance of two different resistors?

Two resistors, two combinations. That’s easy. When n = 3, there are four possible arrangements. A tip for quick calculation – when all resistors are the same value, their equivalent resistance is their value divided by the number in of parallel resistors.

**How many combinations of resistors are possible with n = 4?**

Three resistors, four combinations. When n = 4, the number of permutations surges to nine (Figure 3).

## What is meant by connecting resistors in series?

When resistors are connected one after each other this is called connecting in series. This is shown below. To calculate the total overall resistance of a number of resistors connected in this way you add up the individual resistances.