# Calculate Total Resistance Series Parallel Circuit

## Calculating Total Resistance in a Series-Parallel Circuit

In a series-parallel circuit, resistors are connected in both series and parallel arrangements. To calculate the total resistance of a series-parallel circuit, you can use the following steps: 1.

### Identify the series resistors.

Series resistors are connected end-to-end, so the current flowing through each resistor is the same. To calculate the total resistance of a series circuit, simply add the resistances of the individual resistors:

2.

### Identify the parallel resistors.

Parallel resistors are connected across each other, so the voltage drop across each resistor is the same. To calculate the total resistance of a parallel circuit, use the following formula:

3.

### Combine the series and parallel resistors.

Once you have calculated the total resistance of the series and parallel circuits, you can add them together to find the total resistance of the entire circuit. Here is an example of a series-parallel circuit:

In this circuit, there are two resistors in series (R1 and R2) and two resistors in parallel (R3 and R4). To calculate the total resistance of the circuit, we first need to find the total resistance of the series resistors:

### Rs = R1 + R2 = 10 Ω + 20 Ω = 30 Ω

We then need to find the total resistance of the parallel resistors:

### Rp = 1 / (1 / 40 Ω + 1 / 50 Ω) = 1 / (0.025 + 0.02) = 16 Ω

Finally, we can add the resistances of the series and parallel resistors to find the total resistance of the circuit:

### Rt = Rs + Rp = 30 Ω + 16 Ω = 46 Ω

## Tips for Calculating Total Resistance in a Series-Parallel Circuit Here are a few tips for calculating total resistance in a series-parallel circuit: * Make sure to identify the series and parallel resistors correctly. * Use the correct formulas to calculate the total resistance of the series and parallel circuits. * Add the resistances of the series and parallel circuits together to find the total resistance of the entire circuit. ## Conclusion Calculating total resistance in a series-parallel circuit can be a bit tricky, but it's important to understand the concepts of series and parallel resistance in order to do it correctly. By following the steps in this article, you'll be able to calculate total resistance in a series-parallel circuit with ease.

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