In the context of a Low Pass Butterworth Filter, the condition at which the frequency f=fHf = f_Hf=fH is typically referred to as the cut-off frequency. This is the point where the filter's output starts to significantly attenuate (at -3 dB, or 12\frac{1}{\sqrt{2}}21 of the maximum passband gain).
Key Terms:
Cut-off frequency: The frequency at which the output signal begins to drop off, often defined as the point where the gain falls to 3 dB below its maximum value.
Break frequency: This term is sometimes used interchangeably with cut-off frequency, but it's more commonly associated with certain filters or specific contexts.
Corner frequency: This term is also often used synonymously with cut-off frequency, especially in the context of filters.
Thus, the correct answer for the frequency condition at f=fHf = f_Hf=fH in a Low Pass Butterworth Filter is:
(a) Cut-off frequency
This term is the most widely used and standard term for the frequency where the filter's response begins to attenuate.