A three-stage amplifier with identical stages has an overall lower and upper 3-dB cut-off frequencies of 10 Hz and 10 kHz, respectively. What is the bandwidth of the individual stages assuming that the stages are non-interactive stages?
(a) 19605 Hz (b) 9990 Hz
(c) 21564 Hz (d) 19500 Hz
(a) The lower cut-off frequency (f_{Ln}) for “n” identical non-interactive stage amplifiers is
f_{Ln}=\frac{f_{L}}{\sqrt{2^{1 / n}-1}}
Given that n = 3 and f_{Ln} = 10 Hz. Therefore,
f_{L}=10 \times \sqrt{0.257}=5 Hz
The upper cut-off frequency (f_{Hn} ) for “n” identical non-interactive stage amplifiers is
f_{ H n}=f_{ H } \sqrt{2^{1 / n}-1}
Given that f_{Hn} = 10 kHz and n = 3. Therefore,
f_{ H }=\frac{10,000}{\sqrt{0.257}}=19610 \,Hz
Therefore, the bandwidth is
19610 − 5 = 19605 Hz