The power consumed by an inductor is not zero since it's resistance is not zero either. The power consumed is just too minimal that it can be ignored. What the inductor does is, during one half of the Current's sinusoidal waveform, it stores energy in the form of magnetic flux. During the next half,it discharges the stored energy into the circuit by losing the magnetic field. Hence,they say it doesn't consume power. If the inductor's resistance was significant then you will see that it will consume power. Resistance and Reactive resistance are two different things.
because the differentiation of the periodic function is periodic function
since the current is periodic so its differentiation-----> is periodic
The resulting maximum current is limited by the resistance of the inductor. As the current increases from zero to that maximum value, its expanding magnetic field induces a voltage into the inductor which opposes the rise in that current. So, instead of reaching its maximum value instantaneously, it takes some time -determined by the equation:time to maximum current = 5 L / R (seconds)where L = inductance of inductor in henrys, and R = resistance of inductor in ohms.
An inductor has two properties. The first is resistance(measured in ohms), which is due to the length, cross-sectional area, and resistivity of the conductor from which it is wound. The second is inductance (measured in henrys), which is due to the length of the inductor, its cross-sectional area, the number of turns, and the permeability of its core.The inductor's resistance limits the value of current flowing through the inductor. The inductor's inductance opposes any change in current.
every inductor has some resistance. In circuit diagram, ideal inductor is shown in series with a resistor(value being equal to coil's resistance) to make analysis easy.
The equation of an inductor is ...di/dt = V/L... meaning that the rate of change of current in amperes per second is proportional to voltage and inversely proportional to inductance in henries.If, for example, you connect a 200 millihenry inductor across a 12 volt battery, the current will increase at a rate of 60 amperes per second.Now, the question is, can the inductor, conductors, and/or battery handle that? The answer is no. Something is going to fail. The inductor will rather quickly look like a short circuit across the battery.This example does not take resistance into account. Practical inductors, conductors, and batteries have resistance, and that will place an upper limit on current but, still, this is not an appropriate way to connect an inductor to a battery.DO NOT TRY IT IN THE LAB - THERE IS RISK OF EXPLOSION.
In a perfect inductor (one with no series internal resistance), the current lags the voltage by 90 degrees. If the inductor has series internal resistance, then the current will lag the voltage by less than 90 degrees - the more the resistance in series with the inductor, the smaller the angle. The tangent of the angle can be found from the ratio of the inductive reactance of the inductor to the DC resistance of the inductor. That is, Tan (phase angle) = (2 x pi x frequency (Hz) x inductance (H)) divided by resistance (ohms) eg, a 1 henry, 100 ohm inductor on 60Hz would give: (2 x pi x 60 x 1) / 100 = 3.77; tan-1(3.77) gives 75 degrees lag of current behind voltage. The cosine of this angle gives the 'power factor' for the inductor - that is, the amount of useful energy dissipated in the inductor. Cos 75 is about 0.25 - so 25% of the energy actually does useful work (heat) - the rest of the energy (75%) is returned to the supply mains when the inductor discharges its magnetic field.
The resulting maximum current is limited by the resistance of the inductor. As the current increases from zero to that maximum value, its expanding magnetic field induces a voltage into the inductor which opposes the rise in that current. So, instead of reaching its maximum value instantaneously, it takes some time -determined by the equation:time to maximum current = 5 L / R (seconds)where L = inductance of inductor in henrys, and R = resistance of inductor in ohms.
If it's a pure inductor, no power consumption. However it must be wound using unobtanium wire which has zero resistance, and the core must be vacuum. Air is nearly lossless.
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.
An inductor cannot work in dc because the frequency is zero there by making the inductive reactance zero as a consequenceAnswerOf course an inductor can work in a d.c. circuit!
An inductor has two properties. The first is resistance(measured in ohms), which is due to the length, cross-sectional area, and resistivity of the conductor from which it is wound. The second is inductance (measured in henrys), which is due to the length of the inductor, its cross-sectional area, the number of turns, and the permeability of its core.The inductor's resistance limits the value of current flowing through the inductor. The inductor's inductance opposes any change in current.
How do you propose to connect a decreasing current to the inductor ? The initial current through the inductor is zero, and you want to connect it to a current which is not zero and decreasing. At the instant you make the connection, the inductor current is zero, and it must rise to the non-zero value where you want it to begin decreasing. The current in the inductor cannot change from zero to something in zero time. As it rises from zero to the initial value, guess what . . . the inductor is storing energy in its magnetic field, while producing the usual voltage equal to [ L di/dt ].
every inductor has some resistance. In circuit diagram, ideal inductor is shown in series with a resistor(value being equal to coil's resistance) to make analysis easy.
The equation of an inductor is ...di/dt = V/L... meaning that the rate of change of current in amperes per second is proportional to voltage and inversely proportional to inductance in henries.If, for example, you connect a 200 millihenry inductor across a 12 volt battery, the current will increase at a rate of 60 amperes per second.Now, the question is, can the inductor, conductors, and/or battery handle that? The answer is no. Something is going to fail. The inductor will rather quickly look like a short circuit across the battery.This example does not take resistance into account. Practical inductors, conductors, and batteries have resistance, and that will place an upper limit on current but, still, this is not an appropriate way to connect an inductor to a battery.DO NOT TRY IT IN THE LAB - THERE IS RISK OF EXPLOSION.
Your question is confusing -is the inductor supplied with a.c. or d.c.?In either case, you can determine the inductance of an inductor by disconnecting it, and measuring its resistance with an ohmmeter. If you want a really accurate value of resistance, you could use a Wheatstone Bridge, instead.
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.
Yes, an inductor is a short circuit to dc...that's true....IF the inductor is an ideal one, that is, the inductor has no resistance but has inductance only. Anything in real world, as you know, is not ideal. An inductor is usually made of a copper wire. A copper wire has its own resistance. If an inductor coil is thin and long (i.e. many turns), it will provide an appreciable resistance to DC, and will no longer be a short circuit.
The reciprocal of capacitance is elastance. This is perhaps more convenient for circuit analysis than capacitance. In a circuit, a capacitor can be neglected if the elastance is set to zero. In the same way, a resistor/inductor can be ignored if its resistance/inductance is set to zero.