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An inductor has an inductive reactance of 64ohm's and a wire resistance of 36ohm's what is the impedance of the inductor?
Wiki User
∙ 14y ago
Impedance is a vector sum using the formula Z = square root (XL2 + R2); where Z = impedance, XL = inductive reactance, and R = resistance. Therefor the formula for a circuit where XL = 64ohm's and R = 36ohm's is Z = square root(642 + 322); Z = 71.6ohms.
Wiki User
∙ 14y ago
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What is working principle of inductor?
A changing current through an inductor induces a voltage into the inductor, the direction of which always opposes the change in that current.So, in a d.c. circuit, an inductor will oppose (not prevent) any rise or fall in current, although the magnitude of that current will be determined by the resistance of that inductor, not by its inductance.In an a.c. circuit, because the current is continuously changing both in magnitude and in direction, it acts to continuously oppose the current due to its inductive reactance. Inductive reactance is proportional to the inductance of the inductor and the frequency of the supply. The vector sum of the inductive reactance of the inductor and the resistance of the inductor, is termed the impedance of the inductor. Inductive reactance, resistance, and impedance are each measured in ohms.
Why is there no inductive reactance in DC circuits?
Inductive reactance is a resistance by inductors to the change of current flow, and is dependent on the frequency at which the current oscillates. DC current flows in only one direction so an inductor's impedance remains the same.
Why does an inductor block AC but allow DC?
While it is true that an inductor opposes the flow of an alternating current, it does not necessarily 'block it'. The quantity that opposes the flow of an AC current is the inductor's inductive reactance, expressed in ohms. Inductive reactance is proportional to the frequency of the supply voltage and, at 50 or 60 Hz, the reactance of a transformer's winding is relatively low (although very much higher than its resistance) and, while this acts to limit the amount of current flow, it certainly doesn't act to block that flow.
What is the inductive reactance of a 2 H inductor in a 60 Hz AC circuit?
The inductive reactance of a 15 Henry inductor at 60 Hz is about 5.7 KOhms. (2 pi f l)
Why does an inductor offer high impedance to ac but very low impedance to dc?
Because an inductor resists a change in current. The equation of an inductor is ...di/dt = V/L... meaning that the rate of change of current is proportional to voltage and inversely proportional to inductance. Solve the differential equation in a sinusoidal forcing function and you get inductive reactance being ...XL = 2 pi f L
What is working principle of inductor?
A changing current through an inductor induces a voltage into the inductor, the direction of which always opposes the change in that current.So, in a d.c. circuit, an inductor will oppose (not prevent) any rise or fall in current, although the magnitude of that current will be determined by the resistance of that inductor, not by its inductance.In an a.c. circuit, because the current is continuously changing both in magnitude and in direction, it acts to continuously oppose the current due to its inductive reactance. Inductive reactance is proportional to the inductance of the inductor and the frequency of the supply. The vector sum of the inductive reactance of the inductor and the resistance of the inductor, is termed the impedance of the inductor. Inductive reactance, resistance, and impedance are each measured in ohms.
What is the formula for inductive reactance in a circuit with a capacitor inductor and a resistor in a AC circuit?
to determine the total resistance, you add them vectorilly,first find the inductive reactance of the inductor by the following formula: 2 pi F L (2x3.14 x frequency in herts x inductance in henrys) next, consider the inductive reactance and the resistance as the two sides of a right triangle and the hippotanus would be the total impedance.(this combined ''resistance'' is called impedance.) to determine the total resistance, you add them vectorilly,first find the inductive reactance of the inductor by the following formula: 2 pi F L (2x3.14 x frequency in herts x inductance in henrys) next, consider the inductive reactance and the resistance as the two sides of a right triangle and the hippotanus would be the total impedance.(this combined ''resistance'' is called impedance.)
Why is there no inductive reactance in DC circuits?
Inductive reactance is a resistance by inductors to the change of current flow, and is dependent on the frequency at which the current oscillates. DC current flows in only one direction so an inductor's impedance remains the same.
Inductive reactance has a unit in?
Ohms, resistance in an inductor increases as the frequency of the AC signal increases, this "artificial resistance" is called impedence, and it is measured in ohms
Why a coil of wire placaed in series circuit allows low frequency current but not high frequency current to pass?
The opposition to an alternating current offered by a coil, or inductor, is called impedance (symbol Z, measured in ohms) which, in turn, is made up of two components: resistance (symbol R) and inductive reactance (symbol XL). These three quantities are related as follows: Z2 = R2 + XL2.The resistance of an inductor is a fixed value which depends upon the length of the coil's wire, the cross-sectional area of the wire, and the resistivity of the material from which the wire is made.The inductive reactance of an inductor, on the other hand is directly proportional to the frequency of the supply. So, at high frequencies, an inductor's inductive reactance is very much higher than at low frequencies.So, at high frequencies, the impedance of the inductor is higher because its inductive reactance is higher.The current flowing through a coil is, by Ohm's Law: I = V / Z. So, at high frequencies, the inductor's impedance will be much higher than at low frequencies, which means that a very much smaller current will flow when the frequency is high compare to when the frequency is low.
What is the resistance of an inductor called?
The resistance of an inductor is generally referred to as the series resistance, sometimes noted as RL. Note that resistance is a DC measurement and that an "ideal" textbook inductor has an RL of 0. The reactance of an inductor is an AC measurement which measures the reaction of a component's current flow to an alternating voltage and is frequency dependent and directly proportional to the inductor's inductance, measured in Henrie's. The impedance is most commonly used when talking about inductors or capacitors and is a combination of resistance and reactance.
When are voltage and current out of phase?
Because the impedance of the inductor and capacitor is not a real resistance / has an imaginary value that causes voltage and current to be out of phase. An inductor's impedance is equivalent to j*w*L (j = i = imaginary number, w = frequency in radians, L = inductance), while a capacitor's impedance is 1/ (j*w*C). The 'j' causes the phase shift.
Why does an inductor block AC but allow DC?
While it is true that an inductor opposes the flow of an alternating current, it does not necessarily 'block it'. The quantity that opposes the flow of an AC current is the inductor's inductive reactance, expressed in ohms. Inductive reactance is proportional to the frequency of the supply voltage and, at 50 or 60 Hz, the reactance of a transformer's winding is relatively low (although very much higher than its resistance) and, while this acts to limit the amount of current flow, it certainly doesn't act to block that flow.
Why does the inductance of inductor varies with frequency?
It doesn't. the impedance of the inductor will, following the rule j*w*l, where l is inductance, w is frequency in radians and j is the imaginary number designating this a reactance, not resistance.
Does an inductor blocks AC?
An inductor blocks AC while allowing DC because it resists a change in current. The equation of an inductor is ...di/dt = V/L... meaning that the rate of change of current is proportional to voltage and inversely proportional to inductance.If you apply DC across an inductor, it will stabilize to some current flow based on the maximum current available from the current / voltage source. In this mode, the inductor presents very low resistance, so it can be said that it allows DC to pass.If, however, you apply AC across an inductor, you need to consider its inductive reactance by integrating the above equation in terms of the circuit conditions. The equation for inductive reactance is ...XL = 2 pi F L... meaning that the inductive reactance is proportional to the frequency and to the inductance.Thus, the higher the frequency, the higher the reactance. Since reactance is a phasor measure of resistance, it can be thus said that an inductor will block AC.
What is resonance frequency in electronics?
The frequency at which the impedance of the circuit becomes zero is known as resonance frequency. Actually at resonance resistance only presence in the circuit. That means the impedance of the inductor and capacitor will automatically vanish.
What is the inductive reactance of a 2 H inductor in a 60 Hz AC circuit?
The inductive reactance of a 15 Henry inductor at 60 Hz is about 5.7 KOhms. (2 pi f l)
