Pure inductor (only) in AC circuit

In summary, when an AC current is applied to a pure inductor, an emf is induced that is equal and opposite to the applied emf. This creates a resistance to the AC signal, known as reactance, which depends on the frequency. The term "back emf" is commonly used, but it can also be seen as a forward emf when the voltage source is removed. The behavior of a motor with inertia is similar to a capacitor, leading to the use of this terminology.
  • #1
spiky
9
0
Hello,

suppose we have a sinusoidal AC source connected to only a pure inductor of self inductance L ( no resistance at all ) ..then emf induced in the inductor is L * dI/dt and is equal and opposite to the applied emf. but if the induced emf opposes the applied emf , then how can there be a current at all in the circuit and in the inductor ?


Thanks.
 
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  • #2
When the AC current reverses itself an emf will develop across the inductor opposing the flow. Onto the next cycle, another emf will develop impeding the flow again. So in a sense an inductor represents a sort of resistance to AC signal. We call it reactance (units in ohms), and it depends on the frequency of AC.

At low frequencies, inductors exhibit little resistance to AC and pass all current.

At high frequencies, inductors exhibit very high resistance and look like an open circuit.
 
  • #3
hey, waht-

I think the term "back emf" is poor terminology, but it's standard usage. It's only used with inductors and motors, that I know of. As you say, it means an inductor develops a voltage opposite the source. But so do a resistor and capacitor.

An inductor also stores energy and is a source of emf--but so also, a capacitor.

On top of that, remove the voltage source and the inductor produces a forward emf in the sense of the source.

A motor with inertia, behaves more like a capacitor than an inductor with the removal of an emf source, so the terminology seems to have developed to put a mental picture behind this spooky magnetic stuff.
 
  • #4
i think i sort of got it. . thanks.but any more illuminating explanations are welcome.
 

1. What is a pure inductor in an AC circuit?

A pure inductor in an AC circuit is a type of electrical component that stores and releases energy in the form of a magnetic field. It is made of a coil of wire, typically wound around a core material, such as iron or air. In an AC circuit, the inductor resists changes in current and causes a phase shift between the voltage and current.

2. How does a pure inductor affect an AC circuit?

A pure inductor affects an AC circuit by creating an inductive reactance, which is a measure of how much the inductor resists changes in current. This reactance causes a phase shift between the voltage and current, meaning that the two are not in sync with each other. The inductor also stores and releases energy, which can cause voltage spikes and drops in the circuit.

3. What is the difference between a pure inductor and a resistor in an AC circuit?

The main difference between a pure inductor and a resistor in an AC circuit is their function. A pure inductor stores and releases energy in the form of a magnetic field, while a resistor dissipates energy in the form of heat. Additionally, a pure inductor resists changes in current, while a resistor resists the flow of current.

4. How does the current and voltage behave in a pure inductor in an AC circuit?

In a pure inductor in an AC circuit, the current lags behind the voltage. This means that the current reaches its peak value after the voltage has already reached its peak value. The amount of lag depends on the frequency of the AC signal and the inductance of the inductor. The voltage, on the other hand, is in phase with the current.

5. Can a pure inductor be used in a DC circuit?

Yes, a pure inductor can be used in a DC circuit. However, since DC current does not change direction like AC current does, the inductor will behave differently. In a DC circuit, the inductor will act as a short circuit, allowing current to flow freely. This is because there is no changing magnetic field in a DC circuit to create an inductive reactance.

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