How is the polar form of Vm sin (ωt + θ) represented?

The polar form of a sinusoidal function such as Vm sin (ωt + θ) can be represented in terms of its magnitude and phase. In this case, the magnitude is Vm, and the phase shift is represented by the angle θ.

When expressing sinusoidal functions in polar form, the format is typically of the type Vm ∠ θ, where Vm is the peak amplitude (magnitude) and θ is the phase angle. Thus, Vm sin (ωt + θ) corresponds to a phasor representation with the same magnitude Vm and a phase of θ.

This distinctly captures both the amplitude and phase of the sinusoid, making it clear how the wave is oriented in the complex plane. This representation is essential in analyzing AC circuits, as it allows engineers to utilize phasor arithmetic for calculations involving sinusoidal voltages and currents.

Using this concept, we see that the correct answer highlights the importance of both the magnitude and phase in describing alternating current waveforms in a succinct polar format.