# How To Calculate The Total Resistance Of A Series Parallel Circuit

A series-parallel circuit is a circuit that contains both series and parallel connections. To calculate the total resistance of a series-parallel circuit, you can use the following steps: 1.

### Calculate the resistance of each series circuit.

To do this, add the resistances of the resistors in each series circuit together. 2.

### Calculate the equivalent resistance of each parallel circuit.

To do this, divide the sum of the reciprocals of the resistances of the resistors in each parallel circuit by the number of resistors in the parallel circuit. 3.

### Add the equivalent resistances of the parallel circuits together.

This will give you the total resistance of the series-parallel circuit. Here is an example of a series-parallel circuit: In this circuit, there are two series circuits: one with resistors R1 and R2, and one with resistors R3 and R4. The two series circuits are connected in parallel. To calculate the total resistance of this circuit, we first need to calculate the resistance of each series circuit. The resistance of the first series circuit is R1 + R2 = 10 Ω + 20 Ω = 30 Ω. The resistance of the second series circuit is R3 + R4 = 40 Ω + 50 Ω = 90 Ω. We then need to calculate the equivalent resistance of each parallel circuit. The equivalent resistance of the first parallel circuit is 1 / (1 / 30 Ω + 1 / 90 Ω) = 15 Ω. The equivalent resistance of the second parallel circuit is 1 / (1 / 40 Ω + 1 / 50 Ω) = 25 Ω. Finally, we add the equivalent resistances of the parallel circuits together to get the total resistance of the circuit: 15 Ω + 25 Ω = 40 Ω.

The total resistance of a series-parallel circuit can also be calculated using the following formula:

R = (R1R2 + R3R4) / (R1 + R2 + R3 + R4)

where R is the total resistance of the circuit, R1, R2, R3, and R4 are the resistances of the resistors in each series circuit, and R1 + R2 + R3 + R4 is the sum of the resistances of all of the resistors in the circuit.

In the example above, the total resistance of the circuit can be calculated using the following formula:

R = (30 Ω * 90 Ω + 40 Ω * 50 Ω) / (30 Ω + 90 Ω + 40 Ω + 50 Ω) = 40 Ω

This is the same answer that we got using the method of calculating the resistance of each series circuit and then adding the equivalent resistances of the parallel circuits together.

Calculating the total resistance of a series-parallel circuit can be a bit tricky, but it is a necessary skill for anyone who works with electrical circuits. By following the steps in this article, you will be able to calculate the total resistance of any series-parallel circuit. Cur In Combination Circuits Total Resistance Calculator Of Series Parallel Circuit 4 Ways To Calculate Total Resistance In Circuits Wikihow Series Circuits Parallel Networks Questions And Answers Sanfoundry Dc Parallel Circuits The Engineering Mindset 4 Ways To Calculate Total Resistance In Circuits Wikihow Gcse Physics Electricity What Is The Resistance Of A Parallel Circuit How Can Total Be Calculated Science How Do You Calculate The Total Resistance Of A Parallel Circuit Plus Topper How To Calculate The Cur In A Series Parallel Circuit With R1 100 R2 250 R3 350 And R4 200 Quora Series Parallel Circuit Examples Electrical Academia How To Calculate The Voltage Drop Across A Resistor In Parallel Circuit Sciencing Solved El 4 Series Parallel Circuits Finding Total Chegg Com In A Circuit With Series And Parallel Connection Of Resistors How Should I Calculate For Voltage Drop Quora Physics For Kids Resistors In Series And Parallel Electrical Electronic Series Circuits Parallel Resistor Calculator Engineering Calculators Tools Parallel Circuits Study Guide Inspirit Simplified Formulas For Parallel Circuit Resistance Calculations Inst Tools What Is The Total Resistance Rt In Circuit A R1 7 Ohms B R2 10 C R3 6 D R4 4 Homework Study Com How To Calculate The Resistance Of A Combination Circuit Which Has Four Resistors With Two Known Values R4 2 R3 4 And Voltage 12 R1 Part Series R2