Many problems can potentially arise with resistor networks, solvable with the help of certain tools and methods. But in order to do this problem-solving, you will need to understand which tools and methods are likely to be best for each given task.
In this article, we have therefore set out both some common resistor network problems, and the tools and approaches that might be most effective and useful for tackling them.
What Is A ‘Resistor Network’?
A resistor network is also sometimes referred to as a “resistor array”. It is a single electronic component containing multiple resistors packaged together and arranged in a particular configuration. So, the resistors may be connected in series, parallel, or series-parallel.
The motivations behind the use of resistor arrays in all manner of projects include the opportunity to simplify the circuit design process, in addition to enhancing performance and saving space.
3 Resistor Network Problems – And the Tools and Methods That Can Help
In your capacity as an engineer, you may find yourself needing to analyse and calculate the behaviour of electrical circuits containing multiple resistors connected together.
You may be interested to read, then, about some of the resistor network problems that most frequently arise in electrical engineering and circuit analysis, along with the tools and methods that could assist you in getting on top of them:
- Equivalent Resistance Calculation
The term “equivalent resistance” refers to the resistance of a combination of resistors. In the words of OpenStax, “it can be thought of as the resistance of a single resistor that can replace a combination of resistors in a series and/or parallel circuit”.
If you need to find the total equivalent resistance of a complex network of resistors (such as series, parallel, or mixed configurations), one approach you could take, is simply applying the relevant manual formulas to work this out.
The formula you will need to use for a series network can be expressed as Rtotal = R1 + R2 + …, whereas in the case of a parallel arrangement, you can use the formula 1/Rtotal = 1/R1 + 1/R2 + …
In these manual formulas, Rtotal refers to the total resistance, whereas R1, R2, and so on are the resistances of the individual resistors.
To calculate these figures even more quickly, you can use a dedicated resistor calculator for series and parallel circuits, such as the one on the website of the trusted electrical component supplier, RS.
- Voltage Division
It is also crucial for professionals, students, and hobbyists dealing with resistor networks to know about the importance of voltage division.
A voltage divider is a fundamental circuit that can play a crucial role in ensuring the desired level of performance from a given electronic project. It helps accomplish this by splitting an input voltage into a smaller output voltage, on the basis of certain resistor values.
Again, various calculators to be found online can enable someone to rapidly calculate the output voltage by providing the values they have for input voltage and each resistor.
There is, though, also a voltage divider formula that can be followed for manual calculations. Presuming a series circuit with two resistors (R1 and R2) and a voltage source (Vs), the voltage across V2 (Vout) can be figured out using the formula Vout = Vs x (R2 / (R1 + R2)).
- Node Voltage Analysis
Also known as “nodal analysis”, node voltage analysis is a circuit analysis technique used to determine the voltage at various points – or “nodes” – within an electrical circuit.
This systematic approach is based on Kirchoff’s Current Law (KCL). A crucial “tool” in this instance, KCL states that the sum of currents entering a node must equal the sum of currents leaving the same node.
Your own work may necessitate you solving for unknown node voltages in a circuit with multiple interconnected resistors. In that case, you may need to take steps such as applying KCL at nodes, setting up equations, and solving using linear algebra or simulation software such as LTspice. The above are merely a few of the tools and methods that you may find essential in your efforts to solve resistor network problems. For more in-depth reading on how you can effectively understand and deal with resistor networks in electronics, why not consult this informative guide from UniversalClass?
