Question
What is a phasor diagram? Illustrate it with an example.
✓
Answer
What is a phasor diagram? Illustrate it A diagram that represents a phasor is called phasor diagram. Consider an alternating emf e = $e_0 \sin \omega t$. The phasor representing it is inclined to the horizontal axis at an angle cot and rotates in an anticlockwise direction as shown in below figure.with an example.
The length $( OP )$ of the arrow $\overrightarrow{ OP }$ represents the peak value (maximum value), $e_0$, of the emf. For $e=e_0 \sin \omega t$, the projection of $\overrightarrow{ OP }$ on the $y$-axis gives the instantaneous value of the emf.
In above figure, $O R=e_0 \sin \omega t$.
For e $=0 \sin \omega t$, the projection of $\overrightarrow{ OP }$ on the $x$-axis gives the instantaneous value of the emf. In above figure, $O Q=e_0 \sin \omega t$.
Phasor diagrams are useful in adding harmonically varying quantities.
The length $( OP )$ of the arrow $\overrightarrow{ OP }$ represents the peak value (maximum value), $e_0$, of the emf. For $e=e_0 \sin \omega t$, the projection of $\overrightarrow{ OP }$ on the $y$-axis gives the instantaneous value of the emf.
In above figure, $O R=e_0 \sin \omega t$.
For e $=0 \sin \omega t$, the projection of $\overrightarrow{ OP }$ on the $x$-axis gives the instantaneous value of the emf. In above figure, $O Q=e_0 \sin \omega t$.
Phasor diagrams are useful in adding harmonically varying quantities.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Explain
(1) free vibrations
(2) forced vibrations.
(1) free vibrations
(2) forced vibrations.
Derive an expression for the maximum safe speed for a vehicle on a horizontal circular road without skidding off. State its significance.
A solid sphere rolls up a plane inclined at $45^{\circ}$ to the horizontal. If the speed of its centre of mass at the bottom of the plane is $5 \mathrm{~m} / \mathrm{s}$, find how far the sphere travels up the plane.
→On the basis of the kinetic theory of gases, derive an expression for the pressure exerted by the gas.
How does an air conditioner differ from a refrigerator? Define the coefficient of performance of an air conditioner and express it in terms of heat current.
Energy is emitted from a hole in an electric furnace at the rate of $20 W$, when the temperature of the furnace is $727^{\circ} C$. What is the area of the hole? (Take Stefan's constant $\sigma$ to be $5.7 \times 10^{-8} J s ^{-1} m ^{-2} K ^{-4}$ )
→Explain why the magnetic force on a charged particle cannot change the linear speed and the kinetic energy of the particle.###One implication of the Lorentz force law is that magnetic force does no work. Justify.
Explain the term inductive reactance. Show graphically variation of inductive reactance with the frequency of the applied alternating emf.
Explain the energy flow in a refrigerator and define the coefficient of performance of a refrigerator.
Describe with the help of a neat circuit diagram how you will determine the internal resistance of a cell by using a potentiometer. Derive the necessary formula.