How To Calculate Total Resistance In A Series Parallel Circuit Bbc Bitesize

By | December 7, 2021



How To Calculate Total Resistance In A Series Parallel Circuit Bbc Bitesize



Calculating the total resistance of a series parallel circuit can be difficult when there are numerous components involved. Fortunately, by following a few steps and understanding how charges move in parallel and series circuits, you can determine the overall resistance. This article provides an overview of how to calculate the total resistance of a series parallel circuit, using BBC Bitesize as your primary source for information.

Understanding the basics of the series and parallel circuits is important for being able to calculate the total resistance. Series circuits consist of components arranged in a loop, with a single current path, whereas parallel circuits have separate paths for the current to flow through, from one component to the next. The total resistance of either type of circuit depends on the resistance of individual components. In this article, we'll discuss how to use BBC Bitesize to calculate the total resistance of a series parallel circuit.

What Is Resistance?



Resistance is a measure of the opposition that a material has to the flow of electrons. It is measured in ohms and is represented by the symbol 'R'. The greater the resistance of a component, the less current will flow through it. Understanding resistance is essential to be able to calculate total resistance in a circuit.

Calculate Resistance in Series Circuits



In a series circuit, all the components are connected end-to-end, forming a single loop. In this type of circuit, the current will flow through each component, one after the other. The total resistance of the series circuit is equal to the sum of the resistances of all the components. To calculate resistance in a series circuit using BBC Bitesize, you need to first determine the resistance of each component in the circuit.

When calculating the resistance of a component, remember to add the resistances of any extra resistors that you add to the circuit. Once you have determined the resistances of each component, add them together to get the total resistance. For example, if you have three components with resistances of 2Ω, 4Ω, and 8Ω, the total resistance will be 14Ω (2+4+8=14).

Calculate Resistance in Parallel Circuits



Parallel circuits have more than one path for the current to travel through. In this type of circuit, the voltage remains constant across all components, but the current will be divided among them. The total resistance of a parallel circuit is equal to the reciprocal of the sum of the reciprocals of the individual resistances. To calculate resistance in a parallel circuit using BBC Bitesize, determine the resistance of each component, then add the reciprocals of these values to get the total resistance.

For example, if the resistances of four components in a parallel circuit are 4Ω, 8Ω, 6Ω, and 12Ω, the total resistance would be calculated as follows:

1/(1/4 + 1/8 + 1/6 + 1/12) = 2.4 Ω

Calculate Resistance in Series Parallel Circuits



When the components in a circuit are arranged in both series and parallel, it is called a series-parallel circuit. Calculating the total resistance of series-parallel circuits can be a bit more complicated, as you have to calculate both the series and parallel resistances separately. To calculate the total resistance, you need to first calculate the total resistance of the series components, then of the parallel components. Finally, add the two together to get the total resistance.

Using BBC Bitesize, start by finding the resistance of each component in the circuit, then add resistances of components in series and calculate the reciprocal of the sum of reciprocals of components in parallel. Once you have done this, add the total resistance of the series and parallel sections to get the total resistance of the circuit. For example, if you have three components in series with resistances of 20Ω, 8Ω, and 4Ω, and two components in parallel with resistance of 8Ω and 2Ω, the total resistance would be calculated as follows:

Total resistance of series section: 20 + 8 + 4 = 32Ω
Total resistance of parallel section: 1/ (1/8 + 1/2) = 2.67Ω

Total resistance = 32 + 2.67 = 34.67Ω


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