Computer
Basic Electrical and Electronics Engineering
Basic Concept

Basic Concept

Ohm´s law

Ohm’s Law states that “Voltage across a conductor is directly proportional to the current flowing through it.”, provided all other physical conditions remains constant. This dictates the relationship between current and voltage.

Mathematically, the voltage-current relationship is written as,

V=IRV = IR

where R is the resistance and remains constant in a system. It has unit of ohms (Ω).

Electric voltage current, power and energy, conducting and insulating materials.

Electric Voltage (V)

Electric Voltage is the measure of difference in electric potential between two points, which drives the flow of electric current in a conductor.

Electric Current (A)

Flow of electric charge in a circuit. It is measured in amperes (A).

Electric Power (P)

The rate at which energy is transferred in a electrical circuit, measured in watts.

P=VIP = VI

Electric Energy (J)

The amount of energy transferred in an electric circuit over certain period of time. It is measured in Joules.

Similarly,Power(P)=Workdone(J)TimeTaken(t)Similarly, Power (P) = \frac{Workdone (J)}{Time Taken (t)} Energy(J)=Power(P)time(t)Energy(J) = Power(P) * time(t)

Conducting Material

Those materials that allow electric current to flow easily through them due to their low resistance. (e.g. Copper, Aluminum, etc.)

Non-conducting Material

Those material that resists the flow of electric current and do not allow electric charge to move easily. (e.g. Rubber, Plastic, etc.)

Series and parallel electric circuits

Series Electric Circuit

In series circuit, the components are connected one after another in a single path. The current across all the components remains same where as the voltage vary.

RT=R1+R2+R3.....RnR_T = R_1+R_2+R_3 ..... R_n

The total resistance will the sum of all resistances.

IT=I1=I2=I3.....InI_T = I_1=I_2=I_3 ..... I_n

The current across all the resistances will be the same.

ET=E1+E2+E3.....EnE_T = E_1+E_2+E_3 ..... E_n

The total voltage in the circuit will be the sum of voltages across each component.

Parallel Circuit

In parallel circuit, the components are connected to the same two points in a circuit, usually the positive and negative terminals of a power supply.

1RT=1R1+1R2+1R3.....1Rn\frac{1}{R_T} = \frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3} ..... \frac{1}{R_n}

The overall resistance is determined by the above equation.

💡

The net resistance of a parallel circuit is always less than any of the individual resistance.

IT=I1+I2+I3.....InI_T = I_1+I_2+I_3 ..... I_n

Total current flowing in the circuit, is the sum of current in the individual branch.

ET=E1=E2=E3.....EnE_T = E_1=E_2=E_3 ..... E_n

The voltage in a parallel circuit is same across each branch.

Star-delta and Delta-star conversion

Star to Delta

Star to Delta Conversion

R3=RARB+RBRC+RCRARAR_3 = \frac{R_AR_B+R_BR_C+R_CR_A}{R_A} R1=RARB+RBRC+RCRARBR_1 = \frac{R_AR_B+R_BR_C+R_CR_A}{R_B} R2=RARB+RBRC+RCRARCR_2 = \frac{R_AR_B+R_BR_C+R_CR_A}{R_C}

Delta to Star Conversion

RA=R3.R1R1+R2+R3R_A = \frac{R_3.R_1}{R_1+R_2+R_3} RB=R1.R2R1+R2+R3R_B = \frac{R_1.R_2}{R_1+R_2+R_3} RC=R2.R3R1+R2+R3R_C = \frac{R_2.R_3}{R_1+R_2+R_3}

Kirchhoff’s law

Law that deals with the conversion of current and energy within electrical circuit. It’s mostly used to calculate the resistance or impedance of a complex network.

Kirchhoff’s First Law or Kirchhoff’s Current Law

According to Kirchhoff’s Current Law, the total current entering a junction or a node is equal to the total current leaving the node as no charge is lost.

Kirchhoff’s Current Law

In the above circuit, the current entering the circuits are I1I_1, I2I_2 and I3I_3 are denoted with a positive sign, and the current leaving the circuit are I4I_4 and I5I_5 are denoted with the negative sign. So, it can be expressed in the equation as:

I1+I2+I3+(I4)+(I5)=0I_1+I_2+I_3+(-I_4)+(-I_5)=0
💡

A node refers to a junction connecting two or more current-carrying routes like cables and other components.

Kirchhoff’s Second Law or Kirchhoff’s Voltage Law

The algebraic sum of all the voltages in any closed loop is zero.

Kirchhoff’s Voltage Law

When you begin at any point of the loop and continue in the same direction, note the voltage drops in all the negative or positive direction and returns to the same point.

💡

It is necessary to maintain the direction either clockwise or counter-clockwise.

Linear and Non-linear circuit

Linear Circuits

The parameters of the circuits are not changed with respect to the voltage and current is called linear circuit.

Example: Resistance and Resistive Circuit, Inductor and Inductive Circuit etc.

Non-Linear Circuit

The parameters like waveform, resistance, inductance etc. of the circuits differ with respect to the current and the voltage.

Example: Diode, Transformer, Iron Core, Inductor etc.

Bilateral and Unilateral circuits

Unilateral Circuits

The circuit in which the properties changes with the change in the direction of current flow. Diodes and transistors are the unilateral circuit elements.

Bilateral Circuit

The circuit in which the properties remains same with the change in direction of current flow are called Bilateral Circuit. Transmission lines is one of the example of the Bilateral Circuit.

Active and Passive circuits

Active circuit are those which contains at least one active components, and passive circuit are those which don’t have any active components.

Active Components

Circuit components which can deliver power or power gain in an electric circuit for infinite duration of time are called Active Components

Example: Voltage Source, Generators, Transistors, etc.

Passive Components

Circuit components which only absorbs the power and convert it in heat or stores in electric field or magnetic field are called Passive Components.

Example: Resistor, Inductor, Capacitor, etc.

Reference

Kirchhoff's Laws - Kirchhoff's Current Law, Kirchhoff's Voltage Law, Solved Example and FAQs (byjus.com) (opens in a new tab)