Beatrice Lang
Electrical circuits are an integral part of physics and engineering. They are used in the fields of electronics, telecommunications, and power systems. A circuit is an unbroken loop of conductive material that allows charge carriers to flow through continuously without beginning or end. This flow of charge carriers is maintained by a continuous means of motivation, such as voltage and current. Electrical circuits are also used to model electric circuits and determine the current and voltages across different components, such as resistors and capacitors. There are several books available on this topic for both children and adults, including textbooks for undergraduate courses in electrical circuit analysis and electronics for science and engineering students.
| Characteristics | Values |
|---|---|
| Target Audience | First and second-year undergraduate science and engineering students |
| Topics Covered | Theory and applications in the fields of electronics, telecommunications and power systems |
| Author | Giuseppe Fontana |
| Publisher | Cambridge Core |
| Year | 2017 |
| Chapters | Revisited Generalized Substitution Theorem, Higher Order Compensation for Inductive-Power-Transfer Converters, Multiple Output Inductive Charger for Electric Vehicles, Bayesian Learning-Based Harmonic State Estimation, Catalytic Electrochemical Water Splitting, Investigation of Partial Discharges, Engineering Dissipation with Resistive Elements, Identification of Lossy Y-Type Two-Port Circuit Models |
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What You'll Learn
Electric circuits and charge carriers
Electric circuits are a fundamental concept in physics and electrical engineering, and they are essential to our daily lives. They are found in everything from small electronic devices to power transmission systems. An electric circuit is a closed loop that allows the flow of electric current, which is the movement of electric charge. This flow of electric charge is made possible by charge carriers.
Charge carriers are the key to understanding electric circuits. In a conductive material, they are the moving charged particles that constitute the electric current. The specific type of charge carrier depends on the material of the circuit. In metals, which are commonly used in wires and conductors, the charge carriers are electrons. These electrons are free to move within the crystal structure of the metal, carrying the electric charge from atom to atom.
In other materials, such as semiconductors, the charge carriers can be either electrons or the lack of electrons, often referred to as "holes". This dual behaviour is what defines semiconductors as distinct from insulators and conductors. In ionic solutions and plasmas, both positive and negative charge carriers can be present, with ions acting as the charge carriers. For example, in electrolytes like salt water, the charge carriers are ions that have gained or lost electrons, becoming electrically charged atoms.
Ohm's law describes the relationship between the current through a conductor and the potential difference across two points in the conductor. It states that the current is directly proportional to the potential difference, with the constant of proportionality being the resistance. This law helps us understand the behaviour of electric circuits and is essential in electrical engineering.
In summary, electric circuits are closed loops that facilitate the flow of electric current, which is made possible by charge carriers. The type of charge carrier depends on the material of the circuit, with electrons, ions, and holes all playing a role in different contexts. Understanding charge carriers and how they interact with electric fields is crucial for designing and analysing electric circuits in various applications.
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Modelling electric circuits
One way to model electric circuits is to have students act as electrons. Students are asked to stand on a wire, representing the electrons flowing through it. They are told that they all have a negative charge, and so will repel each other and need to spread out evenly. The student holding the cell symbol joins the circuit, and the students are asked to identify the positive and negative sides. The student nearest the positive side is attracted to the cell, and the nearest to the negative side is repulsed. As these students move, the others are pushed by repulsion to move as well, maintaining an even space between them. A 'switch' student can open and close the circuit. When the switch is closed, the electrons move around in a continuous loop from the negative side of the cell to the positive.
Another method involves students sitting in a circle holding a plastic hula hoop, which represents the circuit. One student acts as the cell or power supply and turns the hula hoop in one direction. This demonstrates that the current moves at all points at all times in a circuit and that energy is being transferred without the electrons being used up. This model can also be used to introduce the concept of resistance—for example, by having students squeeze through two rows of chairs, representing a higher resistance in the circuit.
Before building electric circuits, students can also draw circuit diagrams and use sweets to represent the different components and voltages. This helps them to understand how the circuit will function before they build it.
These models can be used to teach students about Kirchhoff's rules, which can be applied to model more complex circuits with multiple paths for the current to take. By applying Kirchhoff's rules, students can determine the current in each segment of the circuit and gain a better understanding of how electric circuits function.
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Direct-current and alternating-current circuits
Electric current can flow in two ways: direct current (DC) and alternating current (AC). In a direct current, the electric charge moves in one unchanging direction. DC is the standard for most portable battery-powered electronics, found in smartphones, TVs, cars, and more.
Alternating current, on the other hand, is a flow of electric charge that changes direction periodically, along with the voltage. AC is used to power homes, offices, and businesses. It is also used for long-distance power transmission and in transformers for voltage step-up and step-down. AC is also useful for voltage conversion, as it can convert voltage levels with a single transformer. The most common type of AC waveform is a sine wave, but it can also take the form of a square wave or a triangle wave.
Direct current is more practical for many applications. DC is better suited for energy storage in devices such as batteries and capacitors. However, interrupting a DC circuit, especially at high voltages, can be challenging due to the continuous voltage sustaining electrical arcs when the circuit is broken. This can pose safety risks and damage equipment.
AC circuits are influenced by reactive components like inductors and capacitors, which store and release energy. This results in phase shifts between voltage and current. Power plants typically generate and transmit three-phase AC, which offers advantages for powering large motors. However, residential and commercial outlets usually provide single-phase AC for appliances like vacuum cleaners and fans.
While AC is more commonly used for power distribution, DC is found in almost all electronics. As a result, AC electricity from outlets needs to be converted to DC for most electronics to function.
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Kirchhoff's rules and junctions
Kirchhoff's rules are two equalities that deal with the current and potential difference (commonly known as voltage) in the lumped element model of electrical circuits. They were first described in 1845 by German physicist Gustav Kirchhoff. These laws can be applied in time and frequency domains and form the basis for network analysis.
Kirchhoff's first rule, also known as the junction rule, deals with the conservation of charge at a junction. It states that the total current entering a junction is exactly equal to the total current leaving the same junction. This is because the charge is conserved, and so the total charge entering a junction must be equal to the total charge exiting it. Mathematically, this can be expressed as Σ I_IN = Σ I_OUT, where I_IN is the total current entering the junction and I_OUT is the total current leaving it.
Kirchhoff's second rule, also known as the loop rule, applies to potential differences. It states that the directed sum of the potential differences (voltages) around any closed loop is zero. This is similar to Kirchhoff's first rule, which can be stated in terms of potential V rather than potential energy, with the two being related by the equation U = qV.
Kirchhoff's rules are incredibly useful in the field of electrical engineering, especially when dealing with complex circuits that cannot be analysed using simpler methods. By applying these rules, equations can be generated that allow unknown values in circuits, such as currents, emfs, or resistances, to be found.
When applying Kirchhoff's rules, it is important to label the current in each branch and decide on the direction it is flowing. This is because, when a circuit branches into multiple paths, the currents in those branches will differ, as dictated by Kirchhoff's Junction Rule.
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Batteries and resistors
An electrical circuit is a path that allows the flow of electrical current. Batteries and resistors are two key components of electrical circuits. Batteries are a source of electromotive force (emf), which creates a voltage difference and drives the flow of current. Resistors are components that introduce resistance into a circuit, controlling the flow of current.
Batteries are composed of electrochemical cells, which can be connected in series or parallel to achieve the desired voltage and current. In a series connection, the voltage of the battery is the sum of the individual cell voltages, while in a parallel connection, the battery voltage matches the cell voltage, but each cell contributes a fraction of the total current. Batteries provide a constant electric potential difference (a fixed voltage) across their terminals. This potential difference can be utilized to drive current through a circuit.
Resistors are specifically designed to provide resistance in a circuit. They are two-terminal components and can be connected in series or parallel as well. When connected in series, the same current flows through each resistor, while in parallel, the currents through the resistors combine. The resistance offered by a resistor affects the current flow and voltage drop in a circuit. A higher resistance will result in reduced current flow and a larger voltage drop.
The relationship between batteries and resistors in a circuit is important. When a battery is connected to a resistor, the resistor will experience a voltage drop, and the battery will be drained over time. The rate at which the battery drains depends on the resistance value. A higher resistance will drain the battery more quickly, while a lower resistance will result in slower drainage. This relationship is crucial in designing circuits and ensuring that components operate within their intended parameters.
Kirchhoff's rules provide a framework for analyzing complex circuits with batteries and resistors. These rules focus on junctions and loops, allowing for the determination of current and voltage at different points in the circuit. By applying Kirchhoff's rules, it becomes possible to model and understand the behavior of circuits with multiple paths for current flow, ensuring the safe and efficient operation of electrical systems.
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Frequently asked questions
An electrical circuit science book covers the fundamentals of electricity and electronics. It may also delve into the physics behind electrical circuits, including the modelling of circuits, determining current and voltage, and the application of concepts like Kirchhoff's rules.
Electrical circuit science books cover a range of topics, including direct and alternating currents, resistors, capacitors, batteries, and voltage measurements.
These books can be targeted towards a variety of audiences, from children to undergraduate students in science and engineering.
Yes, there are a few standard textbooks, including "Electric Circuits" by Charles K. Alexander and Matthew N. O. Sadiku, and "Electrical Circuits" by Cambridge Core, which is aimed at undergraduate courses in electronics for science and engineering students.
Yes, there is a free multi-volume textbook by Tony R. Kuphaldt, titled "Electrical Engineering and Electronics," which covers electricity and electronics and is available from "All About Circuits."
