State the formula that describes the relationship between the instantaneous and maximum values of a sinusoidal quantity
The formula that describes the relationship between the instantaneous and maximum values of a sinusoidal quantity is:
Instantaneous value = Maximum value × sin(ωt + φ)
where:
- Instantaneous value is the value of the sinusoidal quantity at a specific time (t).
- Maximum value is the amplitude or peak value of the sinusoidal quantity.
- sin is the sine function.
- ω is the angular frequency, which indicates how quickly the oscillations occur.
- t is the time at which the instantaneous value is being calculated.
- φ is the phase angle, which represents a shift in the starting point of the sinusoidal waveform.