# Relationship between frequency inductance and capacitance

### Resonant Frequency Calculator Electrical Tutorial about AC Capacitance and how AC Capacitance in the form of in an AC capacitance circuit is the exact opposite to that of an AC Inductance we The relationship between capacitive reactance and frequency is the exact. Originally Answered: How resonance frequency varies with capacitance and inducatance? What the difference between power frequency inductance and high. why charge or current oscillates between a capacitor and inductor, respectively , relationship between the charge and current oscillating between a capacitor The frequency of the oscillations in a resistance-free LC circuit may be found.

And the units of these, the units are in ohms. R is measured in ohms, that's the normal ohms law, and we use the same units for impedance of inductors and capacitors so this is in ohms and this is in ohms. That may seem a little funny that because there's this frequency term in here, but, this is what it is. So in the rest of this video I want to look at qualitatively look at the value of these impedences and specifically look at what happens when there's a range of values of the omega term, what happens at zero frequency and low frequency and high frequency and infinite frequency. So let's go ahead and do that. So we're gonna look at the impedance terms at different frequencies and we'll measure frequency at radiant frequency in this, so, let's talk about zero frequency and we'll talk about low frequency, these are qualitative boundaries, we'll talk about high frequency, and let's talk about infinite frequency.

So we're gonna build a little chart here. Alright so these are the value of omega here. And now we'll do our components, so I'm gonna do, first we'll do our resistor, and we're gonna fill in the table for ZR, and we know that equals R. So, at any frequency, R is just R, couldn't be simpler. At zero frequency which is just called DC or battery, R is R, at any low frequency, R is R, R is R, at infinite frequency, so there's no dependence on frequency in R, so now let's do the inductor, and we decided that Z of an inductor was J omega L.

And let me do something very specific, I'm gonna do, I'm gonna get rid of this J, I'm gonna basically say I wanna just look at the magnitude of the impedance.

If we just look at the magnitudes, the magnitude of Z inductor is omega L. So now let's fill our table in for omega L. So when omega is zero, the magnitude of the impedance is zero for an inductor. And when the frequency is low, when omega is low, the impedance is going to be relatively low.

And as the frequency gets high, then omega L becomes a larger number, so it becomes high. A capacitor stores energy in the electric field E between its plates, depending on the voltage across it, and an inductor stores energy in its magnetic field Bdepending on the current through it.

If an inductor is connected across a charged capacitor, current will start to flow through the inductor, building up a magnetic field around it and reducing the voltage on the capacitor. Eventually all the charge on the capacitor will be gone and the voltage across it will reach zero. However, the current will continue, because inductors oppose changes in current.

The current will begin to charge the capacitor with a voltage of opposite polarity to its original charge. Due to Faraday's lawthe EMF which drives the current is caused by a decrease in the magnetic field, thus the energy required to charge the capacitor is extracted from the magnetic field. When the magnetic field is completely dissipated the current will stop and the charge will again be stored in the capacitor, with the opposite polarity as before.

Then the cycle will begin again, with the current flowing in the opposite direction through the inductor. They move continuously from one pole to another.

But we know that electrons carry a negative electrical charge and produce a magnetic field as they move through space. A magnetic field is thus produced whenever an electrical charge is in motion.

• Impedance vs frequency
• LC circuit

The strength of this field is called the magnetic moment. If we place a coil between the poles of a big magnet in U-shape, and connect the wires of the coil to an oscilloscop, if we turn the coil as quick as possible we observe on the display that the voltage induced in the coil is not more continuous but follows a sine curve. The rotating magnetic field has induced an electromotive force in the coil cf. We can thus define any alternating voltage sine form by the next formula: Impedance We all learnt in physics, when we studied the electrical fundamentals K or L?

When we speak of "large power" capabilities for example of a heavy duty power supply compared to the small power provided by a AA battery cell, we mean that the first offers a "low impedance load" and the second a high impedance load, impedance meaning the opposition to the current.

### Impedance vs frequency (video) | Khan Academy

But to define more precisely this term "impedance" we need to introduce some more terms of electricity like resistance, reactance, capacitance, inductance, Q-factor, etc, and use some maths. As we will see all these properties are in close relation with the impedance. But don't worry, this is the only page in which I will present you so much maths and so-called "hard" concepts to understand, at least in the ham section, Hi!

It is almost mandatory to extend a few minutes on these subjects because first we will use these notions in the forthcoming chapters, but also because they come back indefinitely as soon as you speak of radio circuits. So it is better now than never. The resistance is the property of a material to resist to the flow of electrons.

### Basics of antennas

In is expressed in ohm W. Recall that the resistance obeys to the Ohms law that defines the relationship between, voltage, current, resistance and power and that applies to DC, AC and RF. The reactance is the property of a material to resist to the flow of electrons and specially AC current or voltage in capacitors and inductors. Note that this property does not apply to direct current DC. If we all have, at least intuitively, the feeling that selfs and condensers have an opposite action, nothing is better than a circuit and its representation in a graph like the one displayed above to well understood how this works.

The a angle is the phaseshift between the voltage and current. To calculate the resulting impedance Z we can use either the graphical method, measuring the length of the blue segment, or resolving the Pythagore's triangle to calculate Z.

We see that the reactance can be either inductive or capacitive. What does it mean? It refers to the opposition of inductors and capacitors to a current or voltage change.

Intro to Frequency-Dependent Impedance - Capacitors in Alternating Currents - Doc Physics

An inductive reactance appears when AC current flows through an inductance and develops a voltage that opposes a change in the initial current. This opposition is an impedance, or rather the inductive reactance XL of the circuit.

It is defined as: Inductive reactance and capacitive reactance. The first concerns selfs and displays a linear variation, and its increases according the frequency, contrary to the second that decreases according the frequency.

Clic on graphs to enlarge. The second component of the impedance is the capacitive reactance. It appears when AC voltage flows through a capacitance and develops a current opposing a change in the initial voltage. This opposition is an impedance, or rather the capacitive reactance XC of the circuit. In the same way we use also the complex impedance because if the resistance is always greater or equal to 0, the reactive part can take any value, including negative value.

As we cannot take the square root of a negative value, engineers use the imaginary numbers that allow to calculate the square root of a negative number. Capacitance We have just seen that the electrical charge is expressed in coulomb. The component able to stock and hold the electron charge is the capacitor, aka condenser. Some are fixed others adjustable. When the current flows in a capacitor, more and more electrons enter into the component, opposing a greater electromotrice force that progressively opposes to the current flow.

## Simple Parallel (Tank Circuit) Resonance

Soon the difference between the voltage of the power supply and the voltage on the capacitor is so reduced that practically no more current flow in the capacitor. When the capacitor voltage equals the power supply voltage no further current will flow. Of course if you apply a huge current on the capacitor feets all students know that this action ends with the explosion of the capacitor Chuut, the professor is coming back In practice one defines a capacitance on one Farad when a capacitor is able to store one coulomb of charge at one volt input.