High School

For the high-pass transfer function, find the phase at a frequency [tex]f = 89 \text{ Hz}[/tex]. Express your answer in degrees.

A. 90°
B. 120°
C. 135°
D. 180°

Answer :

Final answer:

The phase for the high-pass transfer function at 89 Hz is 90° since the capacitor causes voltage and current to be 90° out of phase in a low-frequency RC circuit.

Explanation:

For the high-pass transfer function, the phase at a frequency of 89 Hz is close to 90°. This is because at low frequencies, the capacitor in a pure RC circuit causes the voltage and current to be 90° out of phase. Therefore, the correct answer is (a) 90°. In a high-pass filter, the phase shift is dependent on the frequency.

At low frequencies, the capacitor dominates the circuit, resulting in a 90° phase shift between the voltage and current. Therefore, the correct answer is a) 90°.