Principle of vector and vector ratio

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Welcome to everyone from Dear Reader Allhavebd. Before you know about generator, motor, transformer. Today we will learn about the basics of vector and vector quantities in simple terms.

What we know today is

Definition of vector ratio

Explain Vector Representation of Alternating voltage and Current

Vector Polar Form Explained

Vector Rectangular Form Explained

Electrical iron

Definition of vector ratio:


For those who want both values ​​and direction to fully express them, they are called vector sum. For example, AC voltage, current, ball, speed etc. Vector’s name is Fajr. It is sometimes called the zodiac sign. The following four forms or methods are used to fully express a vector.


  1. Rectangular form
  2. Trigonometrical form
  3. Pallor form
  4. Exponential form.

In the Rectangular Form, a vector is expressed through horizontal and vertical sections and j operator. And in Polar form it is expressed by the value of a vector and the rectangular axis. When the form of Rectangular is expressed in trigonometric sine and cosine term, it is trigonometrical form. In the exponential form the trigonometric sine and cosine term are expressed in exponent term.

In the electrical engineering, the inphase or active segment is called the horizontal segment of the Rectangular Form. And the vertical segment is called a quadrature or a reactive segment. The real axis and imagining or vertical axis to express the vector on the two-dimensional plane. When a vector is expressed through the horizontal and vertical sections, “i” and the electrical engineer, by the vertical section, represent mathematical passages in “j”.

Explanation of “j” Operator In the two-dimensional plane, the real and imaginary axis is usually expressed by the x and y axis. The “x” axis is always expressed as a reference axis. An operator whose value is used in root minus 1 is called “j” operator to indicate that the vector is located as a multiplier or multiplier with the vector referenced axis.


Explain Vector Representation of Alternating voltage and Current:


It has been discussed in the past that the AC circuits resistor, inductance and capacitance work these three types of parimeters. Among them the current and voltage in the same phase remain in the pure resistance. Pure Inductance has 90 ‘back from the current voltage and 90’ before the current voltage of pure capacitance. And pointing the rotation leading to the opposite of the clock cut from vector’s reference axis. And the clockwise rotation from that axis is considered legging. There is no angle between the current and the voltage in pure resistance. The angular difference between the circuit current and the voltage formed by the resistance and inductance is between 0 and 90 ‘, which is usually expressed by FI. That means the current, the voltage will lag in the corner.

Explain Vector in Polar form:


When a vector in the two-dimensional layer is expressed by the angle created with its modules and positive real axis, then it is called the vector’s polar form. However, the argument of the polar vector is called the AC circuit phase angle. The angle of the polar vector from the reference axis is usually counterclockwise on the opposite side of the clock and it is negative to the clock cut.


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