Essential Electrical Engineering Concepts Summary
Unit 1: Basic Electrical Principles
1. Ohm’s Law
At constant temperature, current is directly proportional to voltage; V = IR.
2. Kirchhoff’s Laws
- KCL: Algebraic sum of currents at a node is zero.
- KVL: Sum of voltages in a loop is zero.
3. Resistance, Inductance, Capacitance
- Resistance (Ohm): Opposes current flow.
- Inductance (Henry): Opposes current change.
- Capacitance (Farad): Stores electric charge.
4. Active and Passive Elements
- Active: Voltage sources, current sources.
- Passive: Resistor, inductor, capacitor.
5. Current Calculation Example
Current through 100 Ω resistor: I = V/R = 220/100 = 2.2 A.
6. Thevenin and Norton’s Theorem
Any linear network can be replaced by an equivalent voltage source (Thevenin) or current source (Norton) with an equivalent resistance.
7. Resistor Calculation Example
Current in 5 Ω resistor: 2 A; Power: 20 W.
8. Time Constant (τ)
- RL circuit: τ = L/R
- RC circuit: τ = RC
9. Types of Electrical Sources
Independent voltage source, independent current source, and dependent sources.
10. Superposition Theorem
Total response equals the algebraic sum of responses due to individual sources acting alone.
Unit 2: AC Circuit Analysis
1. Define Impedance of an AC Circuit
Impedance is the total opposition offered by an AC circuit to current flow.
2. State Admittance and Unit
Admittance is the reciprocal of impedance; its unit is the siemens.
3. Inductive Reactance (XL)
Inductive reactance: XL = 2πfL ohms.
4. Capacitive Reactance (XC)
Capacitive reactance: XC = 1/(2πfC) ohms.
5. Average and RMS Voltage Values
Average value is the mean over a half cycle; RMS equals the effective DC value.
6. Define Form Factor and Peak Factor
- Form factor: RMS / Average
- Peak factor: Maximum / RMS value
7. Define Instantaneous Value, Frequency, and Time Period
Instantaneous value is the value at any instant; frequency is cycles per second; time period is the reciprocal of frequency.
8. Define Phase and Phase Difference
Phase represents waveform position; phase difference is the angular displacement between two waveforms.
9. Condition for Series and Parallel Resonance
- Series resonance: Occurs when XL equals XC.
- Parallel resonance: Occurs when inductive and capacitive susceptances are equal.
10. Define Resonant Frequency and Q-factor
Resonant frequency is the frequency at resonance; Q-factor indicates the sharpness of resonance.
Unit 3: Transformers
1. Conditions of an Ideal Transformer
No copper loss, no core loss, infinite permeability, zero leakage flux, and 100% efficiency.
2. What is Turns Ratio?
Turns ratio is the ratio of the number of secondary turns to primary turns.
3. List Various Losses in a Transformer
Transformer losses include copper losses, hysteresis loss, and eddy current loss.
4. What is a Step-Up Transformer?
A transformer that increases voltage from the primary to the secondary winding.
5. Applications and Advantages of Autotransformer
Used in voltage control and motor starting. Advantages include copper saving, high efficiency, and smaller size.
Unit 4: Rotating Machines
1. Material Used for D.C. Machine Brushes
Carbon or graphite brushes are used due to good conductivity and self-lubricating properties.
2. Applications of DC Motor
DC motors are used in electric trains, cranes, elevators, rolling mills, and electric vehicles.
3. Applications of Induction Motor
Induction motors are used in fans, pumps, compressors, conveyors, and household appliances.
4. Calculate Speed of 4-Pole Machine (50 Hz)
Synchronous speed = 120f/P = 120×50/4 = 1500 rpm.
5. Applications of Synchronous Generator
Synchronous generators are used in power stations to generate large-scale AC electrical power.
Unit 5: Electrical Installations and Safety
1. Different Types of Cables
Types of cables include VIR, PVC, TRS, lead-sheathed, and XLPE cables.
2. Energy Consumed by Heater
Energy consumed by a 1000-watt heater in 3 hours equals 1000 × 3 = 3000 Wh or 3 kWh.
3. Use of MCB
MCB protects electrical circuits from overload and short-circuit faults.
4. Define Earthing and Its Importance
Earthing connects metal parts to the ground, preventing electric shock and equipment damage.
5. Full Form of M.C.C.B.
MCCB stands for Moulded Case Circuit Breaker.
