First Order Low Pass Butterworth Filter MCQ’s

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This set of Signals & Systems Multiple Choice Questions & Answers (MCQs) focuses on “First Order Low Pass Butterworth Filter”.

1. Find the complex equation for the gain of the first order low pass butterworth filter as a function of frequency.
a) AF/[1+j(f/fH)].
b) AF/√ [1+j(f/fH)2].
c) AF×[1+j(f/fH)].
d) None of the mentioned

2. Compute the pass band gain and high cut-off frequency for the first order high pass filter.

Compute the pass band gain and high cut-off frequency for the first order high pass filter

a) AF=11, fH=796.18Hz
b) AF=10, fH=796.18Hz
c) AF=2, fH=796.18Hz
d) AF=3, fH=796.18Hz

3. Find the voltage across the capacitor in the given circuit

Find the voltage across the capacitor in the given circuit


a) VO= Vin/(1+0.0314jf)
b) VO= Vin×(1+0.0314jf)
c) VO= Vin+0.0314jf/(1+jf)
d) None of the mentioned

4. Match the gain of the filter with the frequencies in the low pass filter

FrequencyGain of the filter
1. f < fHi. VO/Vin ≅ AF/√2
2. f=fHii. VO/Vin ≤ AF
3. f>fHiii. VO/Vin ≅ AF

a)1-i,2-ii,3-iii
b)1-ii,2-iii,3-i
c)1-iii,2-ii,3-i
d)1-iii,2-i,3-ii

5. In a low pass butterworth filter, the condition at which f=fH is called
a) Cut-off frequency
b) Break frequency
c) Corner frequency
d) All of the mentioned

6. To change the high cutoff frequency of a filter. It is multiplied by R or C by a ratio of original cut-off frequency known as
a) Gain scaling
b) Frequency scaling
c) Magnitude scaling
d) Phase scaling

7. Determine the gain of the first order low pass filter if the phase angle is 59.77o and the pass band gain is 7.
a) 3.5
b) 7
c) 12
d) 1.71

8. Find the High cut-off frequency if the pass band gain of a filter is 10.
a) 70.7Hz
b) 7.07kHz
c) 7.07Hz
d) 707Hz

9. Using the frequency scaling technique, convert 10kHz cut-off frequency of the low pass filter to a cutoff frequency of 16kHz.(Take C=0.01µF and R=15.9kΩ)
a) 6.25kΩ
b) 9.94kΩ
c) 16kΩ
d) 1.59kΩ

10. Design a low pass filter at a cut-off frequency 1.6Hz with a pass band gain of 2.
a)
Find the cut-off frequency 1.6Hz from the given diagram
b)
Find the pass band gain of 2 from the given diagram
c)
Find the RF and R1 from the given diagram
d)
Find the difference in gain magnitude from the given diagram

11. Find the difference in gain magnitude for a filter ,if it is the response obtained for frequencies f1=200Hz and f2=3kHz. Specification: AF=2 and fH=1kHz.
a) 4.28 dB
b) 5.85 dB
c) 1.56 dB
d) None of the mentioned

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