ELECTRICAL

D.C. Motors
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D.C. motors are classified according to the method of excitation. They may be of the shunt, series or compound types.

Series Motor
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The speed of a series motor is given by







Shunt motor
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where Ra is the armature resistance. Since is practically constant at all loads, speed is there almost constant.



Types of Armature Winding
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The two main types of winding are:
1. Lap Winding. It is also known as parallel winding or multiple winding. In this type of winding, the numbers of parallel paths (A) are equal to the number of poles (P).
2. Wave Winding. In this case the armature conductors are divided into two parallel irrespective of the number of poles.

Slip
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The rotor of induction motor rotates at somewhat lesser speed than the synchronous speed and actual speed is known as slip.


where Nr is rotor or actual while N is synchronous speed.



A-C through Resistance and Inductance
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In the resistance part of the circuit the current is in phase with the voltage, while in the inductive part it is 90° out of phase. Hence, to determine the current, the effect of resistance and reactance has to be combined which is named as impedance:



where is the phase angle between the voltage and current and cos is called the power factor.

Circuit Containing Resistance, Inductance and Capacitance
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Transformer
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Transformer is a device for transferring energy from one alternating current circuit to another without any change in frequency. It changes voltage from high to low and low to high with a corresponding increase or decrease in current. If the voltage is increased, the transfer is said to be stepped up. If it is decreased, then it is referred as step down.



Three Phase Transformer
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Whenever the supply is three phase and it is desired to transform current at another voltage, then either a single three phase transformer or three separate single phase transformers can be used. However, in practice a single three phase transformer is used. The three phase winding of a transformer can be connected either in star or in delta.

Current and voltage in star
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The e.m.f. between any line and the neutral gives the phase voltage while the e.m.f. between two outer terminals is known as line voltage.
Current in each line is the same as phase current
i.e. Line current IL=Phase current IP



Line Voltage and Current in Delta

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TECHNICAL


MAXWELL'S EQUATIONS

MECHANICAL

HYDRAULICS FORMULAE

STRUCTURAL

REINFORCE CONCRETE DESIGN

STRUCTURAL STEEL DESIGN

STATISTICAL ANALYSIS


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