# How To Calculate Voltage In Series Parallel Circuit

By | May 31, 2023

In this article, we will discuss how to calculate voltage in a series-parallel circuit. We will start by defining what a series-parallel circuit is, and then we will walk through the steps of calculating the voltage in each part of the circuit. We will also provide some examples to help you understand the process.

A series-parallel circuit is a circuit that contains both series and parallel connections. In a series connection, the components are connected end-to-end, so that the current flows through each component in turn. In a parallel connection, the components are connected across each other, so that the current can flow through any of the components.

To calculate the voltage in a series-parallel circuit, we need to first calculate the total resistance of the circuit. We can do this by adding the individual resistances of the components in series, and then adding the reciprocals of the resistances of the components in parallel.

Once we know the total resistance of the circuit, we can calculate the voltage using Ohm's law:

### V = IR

Where:

* V is the voltage in volts * I is the current in amps * R is the resistance in ohms

Let's look at an example of a series-parallel circuit. In this circuit, we have two resistors in series, and then those two resistors are connected in parallel with a third resistor.

The first step is to calculate the total resistance of the two resistors in series. We can do this by adding their individual resistances:

### R1 + R2 = 10 ohms + 20 ohms = 30 ohms

Now that we know the total resistance of the two resistors in series, we can calculate the resistance of the parallel combination. We do this by adding the reciprocals of the resistances and then taking the reciprocal of the result:

### 1 / (1 / 30 ohms) + 1 / (1 / 20 ohms) = 1 / 10 ohms

So, the resistance of the parallel combination is 10 ohms.

Now that we know the total resistance of the circuit, we can calculate the voltage using Ohm's law:

### V = 10 amps * 10 ohms = 100 volts

So, the voltage in this circuit is 100 volts.

I hope this article has helped you understand how to calculate voltage in a series-parallel circuit. If you have any other questions, please feel free to ask in the comments below.

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