Series Impedance
Series Impedance - Related Videos
01:27
Series Impedances: Three-Phase Line
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2024
Calculating series impedances for a three-phase overhead line involves evaluating resistances and inductive reactances in a network with three-phase and multiple neutral conductors grounded at regular intervals. Using Kirchhoff's laws, an integro-differential equation for the network is derived. This equation accounts for unbalanced phase currents, which may induce return currents through neutral wires and the earth, seeking the least impedance path. Earth return conductors can replace the...
01:29
RLC Series Circuits: Impedance
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2023
When current flow is opposed in a DC or AC circuit, it is referred to as resistance or impedance, respectively. Impedance plays a key role in determining the performance of AC circuits. It is represented by Z, which is a combination of resistance and reactance, and depends upon the angular frequency, measured in ohms. Thus, the magnitude of the impedance is given by the following equation, and the phase angle is given by the following equation. If the inductive reactance in an RLC circuit is...
08:59
Electrochemical Impedance Spectroscopy
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2023
Source: Kara Ingraham, Jared McCutchen, and Taylor D. Sparks, Department of Materials Science and Engineering, The University of Utah, Salt Lake City, UT Electrical resistance is the ability of an electrical circuit element to resist the flow of electricity. Resistance is defined by Ohm's Law: (Equation 1) Where is the voltage and is the current. Ohm's law is useful for determining the resistance of ideal resistors. However, many circuit elements are more complex and can't be described by...
03:53
Balmer Series - Concepts
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2020
The Bohr Model Niels Bohr proposed a model for the hydrogen atom in 1913 that described discrete energy states are associated with a fixed electron orbit around the nucleus. Importantly, an atom cannot discharge energy while its electrons are in stationary states. An electron can only emit energy by changing energy states. To change energy states, an electron must move from one orbit to another by either absorbing or emitting energy. This change can only occur if the absorbed or emitted energy...
03:57
Balmer Series - Student Protocol
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2020
Source: Smaa Koraym at Johns Hopkins University, MD, USA Spectral Emission Lines of Hydrogen, Helium, and NeonExpand In this experiment, you will use a spectrophotometer to measure the distinct wavelengths of light emitted in the UV and visible range by electron relaxation in hydrogen, helium, and neon. Before starting the lab, make a table in your lab notebook for the elements that you will analyze, the color of the light that you observe from the lamps, and the recorded wavelengths. Table...
FAQs
To calculate series impedance, treat each component’s contribution as a complex quantity and add the contributions algebraically. Resistance occupies the real part, while inductive and capacitive reactance occupy the imaginary part. The resulting complex value captures both the magnitude of opposition to AC flow and the voltage-current phase relationship, allowing engineers to predict circuit behavior without analyzing each component in isolation.
Reactance matters because it contributes to the imaginary part rather than the resistive real part. That distinction lets a series calculation represent phase behavior, not merely the amount of opposition to current. In networks containing inductors and capacitors, the combined impedance therefore helps explain resonance behavior and frequency-response changes, which are central when evaluating filters and other AC systems.
Every element in the single path carries the same current, so the voltage associated with each impedance can be evaluated relative to that common current. This makes the total series result useful for determining how voltage is distributed among resistors, inductors, and capacitors. The calculation also preserves phase information, so voltage division can be interpreted alongside AC phase relationships.
The real and imaginary parts serve different analytical purposes. The real part represents resistance, while the imaginary part represents inductive or capacitive reactance and its effect on phase. Keeping these contributions distinct allows the calculated impedance to support power-relationship analysis as well as current and voltage predictions. This separation is useful when a design must account for both resistive and reactive behavior.
A practical workflow begins by listing the resistors, inductors, and capacitors in the single path, expressing each contribution as its complex impedance, and adding those values algebraically. Engineers can then use the resulting series value to predict circuit current, evaluate voltage division, and examine phase behavior. Applying the same calculation across operating conditions supports frequency-response evaluation and comparison of design choices.
Resonance behavior is assessed by examining how the combined impedance of inductive and capacitive contributions relates to the resistive contribution. Because the components share one current, their summed complex value provides a circuit-level view of the condition. Engineers can use that result to evaluate how the network responds as part of filter design or broader frequency-response analysis.
This analysis supports filter design, impedance matching, and component selection in both power and signal systems. The calculated result helps connect component choices with expected current, voltage distribution, phase behavior, and power relationships. That connection is valuable when a designer must evaluate a network as a complete series path rather than judge each resistor, inductor, or capacitor separately.