Parallel Resistor Formula
Parallel Resistor Formula - Related Videos
11:34
Series and Parallel Resistors
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2023
Source: Yong P. Chen, PhD, Department of Physics & Astronomy, College of Science, Purdue University, West Lafayette, IN This experiment demonstrates how current is distributed in resistors connected in series or parallel, and thus describes how to calculate the total "effective" resistance. Using Ohm's law, it possible to convert between the voltage and current through a resistance, if the resistance is known. For two resistors connected in series, (meaning that they are wired one after the...
01:23
Resistors In Parallel
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2023
Resistors are in parallel when one end of all the resistors are connected to a continuous wire of negligible resistance and the other end of all the resistors are also connected to one another through a continuous wire of negligible resistance. In the case of a parallel configuration, the potential drop across each resistor is the same. Current through each resistor can be found using Ohm’s law, I = V/R, where the voltage is constant across each resistor. The sum of the individual currents...
01:10
Resistors In Series
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2023
A resistor is an ohmic device that limits the flow of charge in a circuit. Most circuits have more than one resistor. If several resistors are connected together and connected to a battery, the current supplied by the battery depends on the equivalent resistance of the circuit. The equivalent resistance of a combination of resistors depends on both their individual values and how they are connected. The simplest combination of resistors is the series combination. In a series circuit, the...
01:18
Combination Of Resistors
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2023
Electrical devices in any circuit can be connected either by series or parallel connections. Additionally, circuits can be connected involving both of these connections, known as combination or complex circuits. As these circuits have complex resistor connections, it is necessary to identify different parts as either series or parallel connections, then the whole combination of series and parallel resistors can be reduced to a single equivalent resistance. With the known equivalent resistance...
02:52
Chemical Formulas
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2020
A chemical formula presents information about the proportions of atoms constituting a particular chemical compound or molecule, mainly using symbols of elements and numbers. At times other symbols, such as dashes, parentheses, brackets, commas, plus, and minus signs, are also used. A chemical formula can be one of three types – molecular, empirical, and structural. Molecular Formula The molecular formula represents a molecule or a chemical compound using chemical symbols (to indicate the...
FAQs
The shared voltage across parallel branches is the key to current division. Each resistor experiences the same potential difference, so branch current changes according to that resistor’s value: a lower resistance permits more current, while a higher resistance permits less. The equivalent resistance then represents the combined effect of all branch currents drawn from the source.
Adding another parallel path lowers equivalent resistance because it contributes an additional reciprocal to the sum. With the applied voltage unchanged, the network can draw more total current. This explains why a circuit may demand more current after a branch is added, making the resulting resistance and current important considerations when selecting safely rated components.
A current divider distributes source current among branches according to their resistance values. Since all branches share the same voltage, the lower-resistance branch carries the larger portion, while the higher-resistance branch carries the smaller portion. Applying the formula helps predict this distribution before building a network, which is useful when parallel paths must meet intended circuit-current requirements.
First identify every resistor connected across the same two circuit nodes. Write the reciprocal of each resistance, add those reciprocal values, and then invert the total to obtain the equivalent resistance. This sequence produces the combined resistance needed to predict the network’s overall current at a specified voltage.
For multiple parallel branches, the calculated equivalent resistance should be lower than the resistance of each individual branch. Adding branches lowers total resistance, so a result that fails this expectation signals a possible arithmetic or connection error. This check is especially useful for multi-resistor networks, where several reciprocal terms can make mistakes easier to overlook.
The formula supports analysis of current dividers and power distribution networks. It allows several parallel branches to be represented by one equivalent resistance when predicting overall current for a chosen voltage. The calculation also informs component selection, because adding paths can increase total current and affect whether circuit parts have suitable ratings.