Resistor Network
Resistor Network - 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...
01:10
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...
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...
01:31
Resistor in an AC Circuit
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2023
An alternating emf or voltage source is needed to supply an alternating current (AC) to a circuit. A coil of wire rotating in a magnetic field at a constant angular speed represents such a source. It also generates a sinusoidal alternating emf and serves as an industrial alternator. One-way current through the meter is measured using diodes. A diode is a device with better conductivity in one direction compared to the other; in its ideal state, it has zero resistance in one direction and allows...
FAQs
A single series path gives the same current to every resistor because the charge flow has no branch through which to divide. The resistance encountered along that path adds together, so each component contributes to the total opposition to current. This arrangement is useful when analysis requires predictable voltage distribution across successive resistive elements.
Parallel branches share the same voltage because they connect across the same two points in a circuit. The incoming current can divide among those branches, while the combined equivalent resistance becomes lower than the resistance of any individual branch. This behavior makes parallel networks useful for examining current division and distributing electrical pathways.
Kirchhoff’s laws become especially useful when a resistor network contains connections that cannot be reduced by considering only simple series or parallel groups. They extend circuit analysis to more complex arrangements by relating currents and voltages throughout the network. Using them helps determine how the network distributes current and voltage when several paths interact.
Series connections impose one shared current while dividing the circuit’s voltage among resistors, with the resistance values determining each component’s contribution. Parallel connections impose one shared voltage while dividing current among branches, and their combined resistance decreases. Comparing these outcomes helps explain why network topology matters when designing a desired electrical response.
Begin by identifying how the resistors are connected, then separate portions that form clear series or parallel groups. Combine those groups to determine an equivalent resistance where possible. If the arrangement remains complex, apply Kirchhoff’s laws to analyze the interacting paths. The resulting relationships reveal the network’s current and voltage distribution.
A series resistor arrangement can distribute an applied voltage across its components, allowing a selected portion of that voltage to be obtained from the network. The division depends on how the resistors are arranged and on their resistance values. This makes resistor networks useful in circuit designs that require a predictable voltage level for measurement or control.
Analysis of a resistor network shows not only how current and voltage are distributed, but also where electrical power is dissipated by the resistive components. Examining that dissipation helps connect circuit behavior with the energy effects occurring in each part of the arrangement. In physics, this supports interpretation of practical devices with predictable electrical responses.