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Thus far we have seen resistor networks connected in either a series or a parallel combination. In the next tutorial about Resistors, we will look at connecting resistors together in both a series and parallel combination at the same time producing a mixed or combinational resistor circuit.
This parallel resistor calculator is a tool for determining the equivalent resistance of a circuit with up to ten resistors in parallel. On the other hand, you can also check out our series resistor calculator if you want to learn about resistors in series.
What if we want to connect various resistors together in “BOTH” parallel and series combinations within the same circuit to produce more complex resistive networks, how do we calculate the combined or total circuit resistance, currents and voltages for these resistive combinations.
Calculate the equivalent resistance of up to six resistors in parallel with ease while learning how to calculate resistance in parallel and the parallel resistance formula.
Determine whether resistors are in series, parallel, or a combination of both series and parallel. Examine the circuit diagram to make this assessment. Resistors are in series if the same current must pass sequentially through them.
Resistors in Parallel. When placed in parallel, resistor values do not add they way they do in series connections. The reason for this is obvious if we look at the basic resistance equation from Chapter 2, Equation 2.11: \[R = \frac{\rho l}{A} \nonumber \]
One rule of thumb is if there is a resistor parallel to multiple resistors in series, you need to combine the series resistors first. Thus, let us start with combining the \(20\Omega\) and the \(10\Omega\) resistors, calling the combination \(R_{1,eq}= 20\Omega+ 10\Omega=30\Omega\). After this step the circuit simplified to the following diagram.
Determine whether resistors are in series, parallel, or a combination of both series and parallel. Examine the circuit diagram to make this assessment. Resistors are in series if the same current must pass sequentially through them.
Use Ohms law to relate resistance, current and voltage. In National 5 Physics calculate the resistance for combinations of resistors in series and parallel.
Resistors in Parallel. In the previous section, we learned that resistors in series are resistors that are connected one after the other. If we instead combine resistors by connecting them next to each other, as shown in Figure 19.16, then the resistors are said to be connected in parallel.