Phasor Map Explorer

Instructions

This is a phasor map explorer. You can add upto 6 phasors and explore the resultant phasor map.

You can change the amplitude, frequency and initial phase of each phasor. You can also change the color of each phasor.

• Amplitude is the magnitude of the phasor. Same as the radius of the circle.
• Frequency is the number of complete oscillations in one second.
• Initial Phase is the phase of the phasor at t=0. It is measured in radians.
  1 radian = 180/π degrees.
  So, to make the phasor start at 90 degrees, the initial phase will π/2. So, put 0.5 in the input box.

What are Phasors?

Phasor diagrams are a representation of an oscillating quantity as a vector rotating in phase space with an angular velocity equal to the angular frequency of the original trigonometric function.

Phasor of SHM

When the motion of a particle performing uniform circular motion is projected onto its diameter, the projection undergoes simple harmonic motion. The circular motion representation of SHM is the phase diagram or phasor, and the angular velocity of this circular motion is the frequency of the SHM, ω.

The phasor will rotate with angular velocity ω that is the same as the angular frequency of the SHM.Therefore, the function is,Here Φ is the initial phase of the SHM.

Compare two Phasors

When two phasors are added, the resultant phasor is the vector sum of the two phasors. The resultant phasor is the phasor sum of the two phasors.

The phase difference between the two phasors is the angle between the two phasors that is the difference of the initial phases of the two SHMs.