An alternating voltage or current is a___________.a)Scalar quantityb)...
AC current is certainly not a scalar quantity.
The quantity represented by value and displacement is termed as Phasor whereas the one represented by value and direction is termed as the vector quantity.
Because it act like rotating vector so it is Phasor quantity and not vector.
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An alternating voltage or current is a___________.a)Scalar quantityb)...
Alternating voltage or current is a Phasor
Phasor representation is used to simplify the analysis of alternating quantities in electrical circuits. It is a mathematical technique that represents the amplitude and phase of an alternating quantity using a complex number.
Phasors have both magnitude and phase angle, which are represented by the real and imaginary parts of a complex number. In the case of alternating voltage or current, the magnitude represents the amplitude or peak value, while the phase angle represents the angular displacement from a reference point.
Phasors are used to represent alternating quantities because they simplify the calculations and analysis of circuits. They allow the use of complex arithmetic instead of trigonometric functions, making the calculations more straightforward.
Why Alternating voltage or current is not a Scalar quantity?
A scalar quantity is a physical quantity that has magnitude but no direction. It can be represented by a single real number. Examples of scalar quantities include temperature, mass, and distance.
On the other hand, alternating voltage or current has both magnitude and direction. The magnitude represents the amplitude of the voltage or current, while the direction is determined by the phase angle. Since alternating voltage or current has a direction, it cannot be considered a scalar quantity.
Why Alternating voltage or current is not a Vector quantity?
A vector quantity is a physical quantity that has both magnitude and direction. It can be represented by a directed line segment with an arrow indicating the direction. Examples of vector quantities include displacement, velocity, and force.
While alternating voltage or current has a direction determined by the phase angle, it does not have a linear direction like a vector quantity. The direction of alternating voltage or current is circular, as it continuously changes with time. Therefore, it cannot be considered a vector quantity.
Conclusion
In conclusion, alternating voltage or current is not a scalar or vector quantity. Instead, it is represented as a phasor, which is a mathematical technique that simplifies the analysis of alternating quantities in electrical circuits. The phasor representation uses complex numbers to represent the magnitude and phase angle of the alternating voltage or current, allowing for easier calculations and analysis.
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