Duty cycle is a term used to describe a characteristic of a periodic waveform, particularly a pulse waveform that switches between two levels (e
g
, high/low or on/off)
It is defined as the ratio of the duration the signal is active or "on" (\(t_{on}\)) to the total period (\(T\)) of the waveform
It is often expressed as a percentage
$$ \text{Duty Cycle (D)} = \frac{t_{on}}{T} = \frac{t_{on}}{t_{on} + t_{off}} $$
where \(t_{off}\) is the duration the signal is inactive or "off", and \(T = t_{on} + t_{off}\)
Option (1) correctly defines the duty cycle