ELECTRICAL PRINCIPLES
ELECTRICAL PRINCIPLES
Reactance; inductance; capacitance; impedance; impedance transformation; resonance
What happens when inductive and capacitive reactance are equal in a series LC circuit?
Capacitive reactance is a negative imaginary component and inductive reactance is a positive imaginary component--thus, when they are equal, they cancel each other out, leaving the impedance equal to the resistance with no imaginary component. This is the minimum impedance, and thus the condition for resonance.
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What is reactance?
(B). Reactance is the opposition to the flow of alternating current caused by capacitance or inductance. Reactance changes with both the capacitance and inductance of the current to act along with resistance as components of the impedance.
Note: Reactance (either from changes in capacitance and/or inductance) is going to make the circuit "react" and block (oppose) current flow in the AC circuit.
Hint: Reactance includes the letters "AC"
For more info see Wikipedia: Reactance
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Which of the following is opposition to the flow of alternating current in an inductor?
(D). Reactance is the factor listed which causes opposition to the flow of alternating current (AC) in an inductor. Both inductive (from an inductor) and capacitive (from a capacitor) reactances act with resistance to oppose the flow of current as components of impedance.
For more info see Wikipedia: Electrical Reactance, Inductor
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Which of the following is opposition to the flow of alternating current in a capacitor?
(C). The Reactance is the factor which causes opposition to the flow of alternating current (AC) in a capacitor. Both capacitive (from a capacitor) and inductive (from an inductor) reactances along with resistance combine as the impedance causing the opposition to the flow of AC current through the circuit.
For more info see Wikipedia: Electrical Reactance, Capacitor
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How does an inductor react to AC?
Reactance — whether inductive or capacitive — opposes the flow of current. Inductive reactance varies proportionately with the frequency, so as frequency increases, the inductive reactance also increases.
(Capacitive reactance varies inversely with frequency.)
Notice that the equation for inductive reactance is defined with frequency, not amplitude:
\[X_L = 2\pi{f}L\]
\begin{align} X_L & = \text{Inductive reactance}\\ \pi & = \text{pi (3.14159...)}\\ f & = \text{Frequency}\\ L & = \text{Inductance}\\ \end{align}
The amplitude of the applied AC has no effect on reactance, eliminating two distractors.
For more info see Wikipedia: Electrical Reactance, Inductor
Silly way to help remember: How does an IN-ductor react to AC? As freq IN-creases, reACtance IN-creases. It's an IN-IN-IN! Also, indUctor goes up (capacitor goes down)
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How does a capacitor react to AC?
As the frequency of the AC current applied to a capacitor increases, the reactance of the capacitor decreases.
The capacitive reactance is inversely proportional to the frequency. The higher the frequency of the AC current, the less charge can accumulate in the capacitor, and so the opposition to the current decreases.
Given:
\[
\begin{align}
\pi &= 3.14…\\
f &= \text{frequency}\\
C &= \text{Capacitance}\\
\end{align}
\]
\[\text{Capacitive Reactance }(X_C) = \frac{ 1 }{ 2\pi{f}C }\]
From the equation, one can see that as the frequency increases, the reactance of the capacitor decreases.
SILLY HINT: the band AC/DC - Frequency increases - CapACitor - DeCreases
From Wikipedia:
Reactance is the opposition of a circuit element to a change of electric current or voltage, due to that element's inductance or capacitance. A built-up electric field resists the change of voltage on the element, while a magnetic field resists the change of current. The notion of reactance is similar to electrical resistance, but they differ in several respects.
For more info see Wikipedia: Electrical Reactance, Capacitor
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What is the term for the inverse of impedance?
This is just a definition. To address the distractors:
The answer is Admittance, which is the vector of both Conductance and Susceptance - two of the distractors.
Hint: Impedance impedes, and the opposite of impeding is admitting.
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What is impedance?
Impedance is the opposition to the flow of current in an AC circuit. Impedance is composed of resistance and reactance (both capacitive and inductive).
Note: Think that "impedance" is going to "impede" or get in the way of current flow... kinda like Resistance, except it changes with frequency.
You might think of it as resistance due to inductance and capacitance on alternating current. As such, just like with Ohm's law (\(R = \frac{E}{I}\)) the impedance is the ratio of voltage to current (\(\frac{E}{I}\)).
For more info see Wikipedia: Electrical Impedance
SILLY HINT: The correct choice is the only one with VOLTAGE following OF in the wording.
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The ohm (Ω) is the unit used to measure Reactance. The ohm is also the unit for electrical Impedance and Resistance, as these are all related properties that impede the flow of current in an AC circuit.
Resistance This is essentially friction against the flow of current. It is present in all conductors to some extent (except superconductors!), most notably in resistors. When the alternating current goes through a resistance, a voltage drop is produced that is in phase with the current. Resistance is mathematically symbolized by the letter “R” and is measured in the unit of ohms (Ω).
Reactance This is essentially inertia against the flow of current. It is present anywhere electric or magnetic fields are developed in proportion to an applied voltage or current, respectively; but most notably in capacitors and inductors.
When the alternating current goes through a pure reactance, a voltage drop is produced that is 90° out of phase with the current. Reactance is mathematically symbolized by the letter “X” and is measured in the unit of ohms (Ω).
Impedance This is a comprehensive expression of any and all forms of opposition to current flow, including both resistance and reactance. It is present in all circuits, and in all components.
When the alternating current goes through an impedance, a voltage drop is produced that is somewhere between 0° and 90° out of phase with the current. Impedance is mathematically symbolized by the letter “Z” and is measured in the unit of ohms (Ω), in complex form.
Perfect resistors possess resistance, but not reactance. Perfect inductors and perfect capacitors possess reactance but no resistance. All components possess impedance, and because of this universal quality, it makes sense to translate all component values (resistance, inductance, capacitance) into common terms of impedance as the first step in analyzing an AC circuit.
For more info see Wikipedia: Ohm, Electrical Reactance
Review of R, X, and Z (Resistance, Reactance, and Impedance)
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Which of the following devices can be used for impedance matching at radio frequencies?
All of the choices are correct. All of the listed devices are ones that can be used to match the impedances of the circuit frequency. Impedance matching is important as it allows for maximum transfer of power from the source to the load.
For more info see Wikipedia: Impedance matching
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This is just a definition - learn that reactance is represented by X. It can’t be Z because Z is impedance.
\[Z = R + X_i\]
That is, impedance equals real resistance plus imaginary reactance.
Mnemonic: If you pronounce reactance with an extended southern drawl, re-act-taance sounds just a little bit more like X than the other possible choices.
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What occurs in an LC circuit at resonance?
Think of inductive reactance as having a positive sign and capacitive reactance having a negative sign. If they are equal, they add to zero (they cancel).
Silly hint: deCAPitate a snake by slicing horizontally (-) across the ground
IndUct (+) goes Up ^
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