What are the two stability requirements commonly needed for equipment using oscillators?

The two stability requirements commonly needed for equipment using oscillators are indeed amplitude and frequency.

In oscillator design, maintaining a stable amplitude ensures that the output signal remains at a consistent level, preventing distortion and ensuring reliable performance. Conversely, frequency stability is crucial as it dictates the precise timing characteristics of the oscillator's output. Variations in frequency can lead to unintended shifts in signal processing and communication systems, which can affect overall system performance.

Other options, while related to electronic principles, do not address the specific stability aspects critical to oscillators. For example, voltage and current are important parameters for overall circuit function but are not specifically indicative of an oscillator's stability characteristics. Gain and loss relate more to the performance and energy considerations in amplifiers rather than the stability of oscillators. Phase and bandwidth are important in various contexts such as signal integrity and system response, but they do not serve as the primary stability requirements for oscillators like amplitude and frequency do. Thus, the focus on amplitude and frequency is essential in ensuring reliable oscillator operation.