SHOW WORK! USE 4 SIGNIFICANT DIGITS. 1. The voltage gain of a 1 kHz low-pass fil
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Question
SHOW WORK! USE 4 SIGNIFICANT DIGITS.
1. The voltage gain of a 1 kHz low-pass filter is -26 dB; what is its numeric gain?
2. Two amplifiers are cascaded, one with a voltage gain of 6 db and the other with a voltage gain of 4. If 1 V is applied at the input of the first amplifier, what is the voltage at the output of the second amplifier?
3. A passive high-pass filter is built from a 100 kO resistor and a 100 nF capacitor. What is its cutoff frequency?
4. For the filter in question 3, what is its numeric gain at its cutoff frequency?
Explanation / Answer
1) 20 log gain = -26 gain = 0.05 2)20 log gain = 6 gain of first = 1.995 total gain = 1.995*4 = 7.981 Vout = 7.981*1 = 7.981 V 3)(2 pi R C)^-1 = 15.915 Hz 4) 1/sqrt(2) = 0.707 = -3db
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