Tag: electricity

Back To Basics Episode 2 – The ABC Of Electricity: Voltage, Current & Resistance

Welcome to the second episode of the series “Back to Basics”.

Did you ever wonder what’s actually happening inside a wire when you flip a light switch? What is electricity really?

People knew about electricity since a very long time, but although they observed the related natural phenomena, they didn’t know how to explain them.

They could see a thunderstorm and a lot of lightning, but they didn’t know what lightning was and so they attributed it to angry divinities that used the thunder bolts to punish bad people.

They could stroke a bar made of amber and they would see it attract light pieces of other materials. But they didn’t know why that was happening so they attributed that phenomena to magic.

It was only in the 19th century that humanity finally got a better understanding of electricity. They understood the physical principles behind it and learned how to use it, first for their own pleasure, then for actually do some work to help themselves.

And finally we learned how to use electricity to do the most incredible things: light up our houses, create radios, TVs, computers, robots, and everything you can think of today.

If you would like to understand more about electricity and, maybe one day, be able to bend it to your will, just follow me in this series and its companion videos on YouTube. Through that, you will learn concepts like voltage, current, resistance, capacitance and inductance; and you will learn how the devices around us are made of, and about the electronic components.

And, moving forward, you will learn how to build new things out of those components and, who knows? Maybe one day you will be the great inventor that will revolutionize again our society.

Let’s start today with some basic concepts: voltage and current, and how they are related to each other.

What Are Voltage And Current?

What is voltage? Think of it as of some form of energy that moves things around. The typical example is a river that flows down a hill.

The height of the hill from which the water flows represents the voltage, which is measured from the bottom to the top of the hill. The higher the hill, the higher is the potential energy of the water, and the higher is the voltage. If you’d like to go a little deeper on the concept of voltage, you may want to watch this video:

The current, instead, is made of all the droplets of water that flow down through the river. Such droplets, in terms of electricity, are called electric charges.

The height of the hill is the same as the voltage of a battery, the wire connected to the battery is the bed of the river, and the water that flows in the river is the electric current in the wire.

The higher the hill, the more water will flow down the river. The higher the voltage of the battery, the more electric current will flow in the wire.

For more details on the concept of current, you may want to watch this video:

We measure the voltage in Volt and the current in Ampere. We usually represent these measurement units with the letters V and A. And we can measure these entities with instruments that are called volt-meters and ampere-meters, or am-meters for short, just like we measure the height in meters and the amount of water that flows down the river in liters/second.

Well, yes, in US people is more accustomed with yards and gallons than meters and liters, but you got the point.

In more precise terms, volt is the ratio between the potential energy provided by a battery and the amount of charge needed to generate it.

Current, on the other end, is the amount of charges flowing through a section of the wire in one second.

Back at the beginning of the 19th century, an Italian scientist named Alessandro Volta was conducting experiments on frogs.

He discovered, inadvertently, that touching a dissected leg with two metal sticks made of two different materials, the leg contracted, as if it was still alive. Curious about what happened, he started experimenting with different metals and different watery solutions mimicking the fluids in the frog’s leg. Soon, he discovered a way to generate electricity. He just invented the battery, which he called pile, since it was made of a pile of metal and paper disks, moistened with an acidic solution.

Today, we call that device a voltaic pile, made of several voltaic cells, to honor the inventor of the device that revolutionized our civilization.

After that, other people started experimenting with this newly found source of electricity, and names like Georg Simon Ohm and Andre’-Marie Ampere became famous in that same century. Yes, just about 200 years ago.

What Is Resistance?

In particular, Andre’-Marie Ampere found a way to measure the current flowing in a piece of metal when a voltage was applied to it.

Georg Ohm, instead, used the voltaic pile to run experiments on different kind of materials, to figure out how they behaved when in the presence of a voltage.

He prepared a set of metal bars of different materials and same section, connected each bar to the pile, and measured the amount of current that was flowing through. Then he changed the voltage applied to the bar, by increasing or decreasing the number of cells in the pile.

And with that he discovered that for the same bar, the ratio between voltage and current, whatever the voltage was, never changed. He called this ratio the resistance of the material. And he further discovered that different materials have different resistances.

Ohm’s Law

Today, we have named Ohm the measurement unit of the property he discovered, and we represent it with the Greek letter Omega, which sounds like the initial of the name Ohm.

We write that the Voltage V and the current I are directly proportional as per this formula

where R, the resistance, is the constant of proportionality.

In terms of their measurement units, we also write

This is what we call “Ohm’s Law, which is the foundation for the calculations of voltage and current in any electric and electronic circuit.

As you can see, the three concepts of voltage, current and resistance are not independent; they are all linked together by the fundamental principle called Ohm’s law. On the same resistance, more voltage causes more current to flow. With the same voltage, a higher resistance allows a smaller current to flow. And with the same current, a higher resistance causes a higher voltage.

Conclusion


I hope this helps demystifying the very basic concepts of electricity. In the next episodes we will go deeper into these concepts, we will learn how to measure these entities, we will learn about electronic components, how to use them in circuits, learn how to read schematics, and so forth. Please let me know in the comments what concepts you are more interested in, so I can better aim this series of tutorials to your likes.

Finally, if you like, you can also watch the video version of this post:

How To Choose A Resistor

How do we choose the right resistor when designing and building an electronic circuit? Here are the major parameters that should be kept into account.

bunch_of_resistors

A resistor is a component made out of a poor conducting material, so that it can offer a resistance to the flow of the current.

You can think to resistance in terms of the obstacles that charges encounter when moving from one end to the other of a conductor. The more obstacles, the higher the resistance. In a metallic wire, for example, the charges are the electrons of the conduction band (see this post and this other one for further details).

In today’s post I would like to address an issue that sometimes is underestimated when designing an electronic circuit: how to choose the right resistor for the job.

Resistors are not all the same. Besides the resistance value that distinguishes one from the other, there are other factors that are important as well.

Here is a list of all the important factors, why they are important, and what are the consequences of not choosing a resistor based on each specific factor.

  • The first thing that comes to mind is the tolerance, which is usually provided on the body of the resistor itself, along with its resistance value.

resistor_color_bands

In color coded resistors, the tolerance is defined by the band that is far away from all the others. In the above picture, for example, it is the gold band, which means that the tolerance is of 5%. In other resistors, where the resistance is explicitly written on the body of the resistor, the tolerance is usually written in clear along with the resistance. More in general, you’ll have to refer to the data sheet provided by the constructor to figure out its tolerance.
Tolerance is an important factor for those circuits that require very precise resistors, like measuring instruments and the like. It is also important when the resistor is used for the polarization of a critical component. If the resistors used in the project have a tolerance that is too high, the whole circuit may not function properly because the actual value of the resistor is too different from the one that was required.

  • Operating Temperature. This depends both from the ambient conditions and by the temperature raise produced by the power dissipation. There are two reasons to keep the temperature range into account. First, resistors slightly change their resistance with the change of the temperature. Using the resistor outside its temperature range would cause a variation greater than the one considered by the tolerance. Second, but not last, when the resistor is traversed by current it heats up. As long as the current stays within a range for which the power dissipation is not exceeded, everything is fine. Otherwise, the resistor can easily overheat and burn.

scorched_resistor

  • Maximum Voltage. Operating a resistor above its maximum voltage rating may cause sparks that would destroy the resistor.

burned_resistor

Resistors used in low power circuits usually have a maximum voltage in the order of at least 100V, and that’s why people usually don’t care or it doesn’t even know that there is such a parameter. In fact, low voltage circuits will normally never exceed the maximum voltage of any resistor. However, there are specific applications where voltages in the circuits can be above the 100V threshold. In such cases, it is important to verify that the resistors used in the circuit can withstand those voltages.

  • Temperature coefficient. This is the parameter that tells us how much the resistance changes per degree Celsius. It depends on the material the resistor is made of, but also on the heat dissipation capability of the component. Some resistors are built with an embedded heat sink to reduce the value of this factor.

power_resistor

This information becomes important in those cases where it is known that the resistor is going to dissipate a considerable amount of power. Based on that, it is possible to figure out if the resistor needs an external heat sink and, eventually, the heat sink thermal resistance.

  • Parasitic Capacitance and Inductance. A real resistor does not have only a resistance but also a very low value of capacity and inductance that may affect its functionality at high frequencies.

equivalent_resistor

These parasitic capacitance and inductance are caused by the physical dimensions and shape of the component and cannot be avoided. When working at high frequencies, these values need to be taken into account, since they will generate both capacitive and inductive reactance that will affect the value of the resistor at the particular frequency it is going to be used.

  • Packaging. This keeps into account where and how the resistor is going to be mounted. It can be a through holes resistor, which is provided with two leads to make the connections. The leads are usually inserted in the holes of a perforated board or of a Printed Circuit Board (PCB). Or, the resistor can be a Surface Mounted one. This has no wires, just two pads that can be directly soldered on a Surface Mounted technology (SMT) PCB. Other factors affecting the packaging include the possibility of attaching it to an external heat sink, and/or the necessity to properly ventilate it, to guarantee enough heat dissipation.

 

Inductors Basics

Describing basic functionality of the inductors and how they are treated when connected in series or in parallel.

What is an inductor? How does it work? And how we handle inductors when they are connected in series or in parallel? Here are the answers.

An inductor is an electric device capable of storing energy in the form of a magnetic or electromagnetic field.

inductor

In its basic form, an inductor can be made of a single loop of wire, or several loops (solenoid). These loops can be arranged in air or on a ferromagnetic core.

When an inductor is connected to a battery, a current starts flowing in the circuit. The current that flows inside the inductor generates a magnetic field, like the one that would be generated by an actual magnet. This field stores an amount of energy, the same way an electric field does.

inductor_circuit

If the battery is suddenly disconnected, the energy that was accumulated in the inductor must be somehow released. but the energy cannot be released instantaneously, it needs to be released a little bit at a time. And since the energy depends on the current flowing in the inductor, the inductor tries to keep the it running, even if the battery is no more connected. To do so, it uses the energy stored into the magnetic field to generate a voltage at its terminals to keep the current going.

inductor_open_circuit

However, since the inductor is now connected nowhere, current cannot flow, unless the voltage is so high that the current can flow in the thin air. And that is exactly what happens: the voltage increases so much that there is a sudden discharge of current through the air, in the form of a spark, that dissipates all the energy that was stored in the inductor. This spark is the one you may sometimes notice when opening a switch that is powering a lamp or a motor, or when you pull the plug from a device that was working using a considerable amount of current.

Similarly to the case where the current is suddenly removed, an inductor generates a voltage also when the current is just changed in intensity. In this case, the voltage is created to react to the change in current, trying to keep it to the same value, so the energy can be conserved.

In both cases, the amount of voltage is proportional to the change in current (ΔI) and inversely proportional to the amount of time in which the current changes (Δt). In other words, the faster the current change, the higher is the voltage.

For a specific inductor, the ratio between the change of current and the interval in which that happens equals the voltage generated by the inductor divided by a constant that depends on the physics dimensions of the inductor. Such constant is called inductance, represented with the letter L, and can be calculated with the following experimental formula:

inductance_formula

where:

μ = permeability of the material inside the coil

N = number of turns making the coil

A = area of the cross section of the coil

l = length of the coil

L is measured in Henry.

μ is the product of the permeability of the void (or air) and the relative permeability of the material:mu

The voltage at the terminals of the inductor is therefore calculated as:

vdit

We can now calculate the energy stored in the magnetic field of an inductor as the integral of the power, which is obtained multiplying the voltage at the inductor and the current that flows through it:

inductor_energy

which, considering the value of the voltage previously calculated, can be solved as follows:

inductor_energy_value

where I is the current flowing through the inductor at the time the energy is calculated.

When choosing an inductor for a circuit, the following parameters must be considered:

  • the value of the inductance in Henry

  • the max current the inductor can sustain; failure to specify that could cause the inductor to overheat, since the wire could be too thin to deal with the required current;

  • the max voltage that can be applied to the inductor; an excessive voltage on the inductor could cause sparks due to insufficient insulation of the wire.

Inductors In Series

Let’s consider a series of inductors of different inductance values and let’s calculate the equivalent inductance.

inductors_in_series

All the inductors, being in series, are traversed by the same current. And since each inductor has its own inductance value, each one will store a different amount of energy:

inductors_series_energies.png

The total energy stored in the inductors is therefore:

inductors_series_total_energy.png

So, the equivalent inductance is clearly:

series_inductance.png

which we can generalize as:

series_inductance_gen.png

Inductors In Parallel

In the case of inductors in parallel, they are all subject to the same voltage and are traversed by a different current:

inductors_in_parallel.png

parallel_inductors_voltages.png

From these equations we can find the currents by integration:

parallel_inductors_currents.png

The total amount of current is therefore:

parallel_inductors_total_current.png

So we can say that the equivalent inductance of a parallel of inductors can be determined through the formula:

parallel_inductors_formula_1.png

or, more in general:

parallel_inductors_formula_2.png

All the formulas presented here are very general and can be applied to both DC and AC circuits. Note, however, that since AC circuits have a variable voltage and current, the application of the formulas in AC is a little more challenging then in DC. But this is a story for another time.