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The equation of an inductor is ...
di/dt = L / V
... which means that the rate of change of current is proportional to voltage and inversely proportional to inductance.
Set this up in a sinusoidal forcing circuit and solve the differential equation, or use phasors, and you get ...
XL = 2 pi f L
... which means that inductive reactance is proportional to both frequency and inductance by the factor of 2 pi.
I have not included the derivation, because I don't know how to do it, and it does not seem necessary. If someone wants to provide one, please feel free to refine the answer.
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At what frequency is the reactance of a 0.450 inductor equal to that of a 2.50 capacitor?
943H
Why at resonance the voltage drop across inductance and the voltage drop across capacitance is greater than the source voltage?
This isn't necessarily the case. It depends upon the value of resistance (which, at resonance, determines the current), and the values of the inductive- and capacitive-reactance.At resonance, the impedance of the circuit is equal to its resistance. This is because the vector sum of resistance, inductive reactance, and capacitive reactance, is equal the the resistance. This happens because, at resonance, the inductive- and capacitive-reactance are equal but opposite. Although they still actually exist, individually.If the resistance is low in comparison to the inductive and capacitive reactance, then the large current will cause a large voltage drop across the inductive reactance and a large voltage drop across the capacitive reactance. Because these two voltage drops are equal, but act the opposite sense to each other, the net reactive voltage drop is zero.So, at (series) resonance:a. the circuit's impedance is its resistance (Z = R)b. the current is maximumc. the voltage drop across the resistive component is equal to the supply voltaged. the voltage drop across the inductive-reactance component is the product of the supply current and the inductive reactancee. the voltage drop across the capacitive-reactance component is the product of the supply current and the capacitive reactancef. the voltage drop across both inductive- and capacitive-reactance is zero.
What is the inverse of reactance?
The reciprocal of reactance is susceptance, expressed in siemens.
What is meant by resonance in LCR circuit?
a circuit in which inductance L,capacitance C and resistance R are connected in series and the circuit admits maximumum current corresponding to a given frequency of a.c.Another AnswerIn the case of a series circuit, resonance occurs when its inductive reactance is exactly equal to its capacitive reactance. As the vector sum of these two quantities will then be zero, the only opposition to current will be resistance and, so, maximum current will flow through the circuit when resonance occurs. ALL circuits can be made to resonate at what is called their 'resonant frequency' because, as frequency increases, the inductive reactance increases but capacitive reactance falls -so, at some point the two will equal each other, and resonance will occur.In my view resonance means - the condition that exists when the inductive reactance and the capacitive reactance are of equal magnitude, causing electrical energy to oscillate between the magnetic field of the inductor and the electric field of the capacitor.
How does doubling the frequency effect the reactance of an inducter and capacitor?
for inductor, reactance XL = 2*pi* f *L, if frequency doubles then reactance increase. But for capacitor, reactance Xc = 1/(2*pi*f*C). In this case if frequency doubles the reactance decrease.
XL 2PifL Answer is T. or F.?
XL=2PifL is correct
What is the definition of capactive reactance?
reactance due to the capacitance of a capacitor or circuit,equal to the inverse of the product of the capacitance and the angular frequency.
At what frequency is the reactance of a 0.450 inductor equal to that of a 2.50 capacitor?
943H
Is it really possible to avoid reactive power in electrical circuit?
yesAnswerNo, but you can counter its effects. For example, if your load is inductive, then you can counter the effects of its inductive reactance by introducing capacitors with equal capacitive reactance.
Why does the resistance in a series resonant circuit have no bearing on the resonant frequency?
Series resonance occurs when a circuit's inductive reactance is equal to its capacitive reactance. The resistance of the circuit is irrelevant.WebRep currentVote noRating noWeight
What is the unit of inductive reactance?
Inductive reactance, as well as capacitive reactance, is measured in ohms.
Why at resonance the voltage drop across inductance and the voltage drop across capacitance is greater than the source voltage?
This isn't necessarily the case. It depends upon the value of resistance (which, at resonance, determines the current), and the values of the inductive- and capacitive-reactance.At resonance, the impedance of the circuit is equal to its resistance. This is because the vector sum of resistance, inductive reactance, and capacitive reactance, is equal the the resistance. This happens because, at resonance, the inductive- and capacitive-reactance are equal but opposite. Although they still actually exist, individually.If the resistance is low in comparison to the inductive and capacitive reactance, then the large current will cause a large voltage drop across the inductive reactance and a large voltage drop across the capacitive reactance. Because these two voltage drops are equal, but act the opposite sense to each other, the net reactive voltage drop is zero.So, at (series) resonance:a. the circuit's impedance is its resistance (Z = R)b. the current is maximumc. the voltage drop across the resistive component is equal to the supply voltaged. the voltage drop across the inductive-reactance component is the product of the supply current and the inductive reactancee. the voltage drop across the capacitive-reactance component is the product of the supply current and the capacitive reactancef. the voltage drop across both inductive- and capacitive-reactance is zero.
What does capacitive reactance oppose?
Inductive reactance.
Why there's high voltage at series rlc resonant frequency?
With a series RLC circuit the same current goes through all three components. The reactance of the capacitor and inductor are equal and opposite at the resonant frequency, so they cancel out and the supply voltage appears across the resistor. This means that the current is at its maximum, but that current, flowing through the inductor and the capacitor, produces a voltage across each that is equal to the current times the reactance. The voltage magnification is the 'Q factor', equal to the reactance divided by the resistance.
What is the inverse of reactance?
The reciprocal of reactance is susceptance, expressed in siemens.
What are the letters for Inductive Reactance?
The symbol for inductive reactance is XL.
Inductive reactance is equal to capacitive reactance?
yes,they are equal at only one condition i.e. when the circuit containing R,L and C in series or in parallel behave as a purely resistive circuit. This condition occur only at resonance.
