Electrical Circuits Electrical Circuits Nearly all branches of

Electrical Circuits

Electrical Circuits Nearly all branches of electrical engineering are fundamentally based on circuit theory. The only subject in electrical engineering that is more fundamental than circuit theory is electromagnetic field theory, which deals with the physics of electromagnetic fields and waves.

Electrical Circuits

SI base units International System of Units (SI from the French Système international d'unités)

SI prefixes

Electrical Circuits Electrical circuits can be very simple. such as the circuit in a flashlight containing two batteries, a light bulb and a switch.

Electrical Circuits The “conductors” that interconnect these components are usually wires or metal pathways integrated on a printed circuit hoard.

Electrical Circuits Most electrical circuits. however, are much more complex than a flashlight. A standard television contains, among other things: power supplies, amplifiers speakers, and a cathode ray tube. The microprocessor in a computer may contain the equivalent of millions of transistors interconnected in a single chip that is smaller than a fingernail

Motherboard and CPU

Pentium 4

Electrical Circuits Examples

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Electrical Circuits The gravitational force is an attractive force that tends to move objects toward one another, the most common example being the earth’s gravitational force that attracts objects toward the center of the earth. Gravitational forces govern the motions of planets. stars, galaxies. and other celestial objects in the universe, and yet it is the weakest of all the natural forces. A type of force that is much stronger than gravity is electrical in nature.

Electric Charge An electrical force is established between two charged particles. The force between the particles is attractive if the charges are unlike (i. e. . if one charge is positive and the other is negative). The force is repulsive if the charges are alike, that is. if both charges are either positive or negative. This force is referred to as an electrostatic force because the charges are static or stationary. The branch of electrical studies that deals with static charges is called electrostatics.

Coulomb's Law Like charges repel, unlike charges attract. The electric force acting on a point charge q 1 as a result of the presence of a second point charge q 2 is given by Coulomb's Law:

Electron Mass

Electric Current En electric circuit theory current is generally considered to he the movement of positive charges This convention is based on the work of Benjamin Franklin (1706— 1790), who conjectured that electricity flowed from positive to negative. Today we know that electric current in wires and other conductors is due to the drift of free electrons (negatively charged particles) in the atoms of the conductor.

Coulomb's Law

Coulomb's Law

Electrical Circuits The Ideal Basic Circuit Element Has Only two terminal It is described mathematically in terms of current and/or voltage It cannot be subdivided into other elements An electrical circuit may be defined as two or more Basic Circuit Elements interconnected by conductors.

Resistance Electrical resistance may be defined as an impedance to current flow through a circuit element. All circuit elements, including even the conductors (wires) that connect them impede the flow of current to some extent.

The resistance element

Different Types of Current Direct Current (DC) Alternating Current (AC) Others Electric current is measured by means of an instrument called an ammeter. There are basically two types of ammeters: analog and digital.

Electric Potential Energy and Voltage Potential energy can be defined as the capacity for doing work which arises from position or configuration. Voltage is electric potential energy per unit charge, measured in joules per coulomb ( = volts). It is often referred to as "electric potential", which then must be distinguished from electric potential energy by noting that the "potential" is a "per-unit-charge" quantity.

Voltage Difference The word difference denotes that voltage is always taken between two points. To speak of voltage “at a point is meaningless, unless a second point (reference point) is implied. A voltage difference exists across the positive and negative terminals of a battery.

Voltage

Notation Time varying quantities - lower case e. g. v(t), i(t) sometimes assume time: v(t) = v Time invariant quantities upper case e. g. V, R, Remember to include units of measure e. g. 15 V, 7 A

Electric Power

Resistors Combinations Resistance is measured by means of an instrument called an ohmmeter. Like ammeters and voltmeters that measure current and voltage, there are basically two types of ohmmeters: analog and digital. An analog ohmmeter provides a resistance reading by means of a needle or pointer that moves across a calibrated scale. Digital ohmmeters provide a resistance reading by displaying numbers in a window.

Example Find the total resistance for the resistor circuit shown in the Figure

Suppose that we are designing a power-supply circuit. Our circuit design calls for a resistor that carries a direct current of 800 m. A and has a voltage drop of 24 V. What is the resistance of the resistor? What power rating must the resistor have?

Electrical Circuits In electrical circuits, there are numerous types of electrical components such as resistors. capacitors. inductors, diodes, transistors, transformers, batteries, lamps. fuses, switches, and motors.

Common circuit elements and their schematic symbols

Independent Current and Voltage Sources

Nodes and Branches A node is defined as a point of connection of two or more circuit elements. An essential node is defined as a point of connection of three or more circuit elements. Branch, an open path in a circuit including one or more circuit elements and no essential nodes

Kirchhoff's Circuit Laws

Example: Kirchhoff's Voltage Law The DC circuit shown in the Figure consists of a 10 -V independent voltage source connected to two resistors in series. Find: 1. The current. 2. The voltage across each resistor, and 3. The power dissipated by each resistor.

Example: Kirchhoff's Current Law The DC circuit shown in the Figure consists of a 200 -m. A independent current source connected to two resistors in parallel. Find: 1. the voltage across the resistors and 2. the current in each resistor.

Short and Open Circuits Short Circuit. Basic Circuit element whose voltage is always 0. (Resistance =0) Symbol Open Circuit Basic Circuit element whose current is always 0. (Resistance = infinity) Symbol

Practice 3. Find the total resistance for the resistor circuit shown in the Figure. 4. For the DC circuit shown in the Figure, find the voltage across each resistor and the current in each resistor.

Practice 5. For the DC circuit shown in the Figure, find the voltage across each resistor and the current in each resistor. Find the power dissipations in the 2 Ω, 5 Ω and 22 Ω resistors. 6. For the DC circuit shown in the Figure, find the voltage across each resistor and the current in each resistor.

Calculate I

Calculate voltage at the essential nodes. All resistor values are in Ohms

Calculate the current through the 23 Ohm resistor.

Find the open circuit voltage and the shortcircuit current at terminals a-b.

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Solution of Systems of Linear Equations https: //www. cliffsnotes. com/study-guides/algebra-ii/linear-equations-in-three-variables/linear-equations-solutions-using-elimination-with-threevariables

Solution of Systems of Linear Equations

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Determinants https: //www. cliffsnotes. com/study-guides/algebra-ii/linear-equations-in-three-variables/linear-equations-solutions-using-elimination-with-three-variables

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Determinants https: //www. cliffsnotes. com/study-guides/algebra-ii/linear-equations-in-three-variables/linear-equations-solutions-using-determinants-with-three-variables