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mediumMCQGATE EC 2019 Question Paper (09-Feb-2019) (Shift 1)General
2 marks (−0.66)

For an LTI system, the Bode plot for its gain is as illustrated in the figure shown. The number of system poles N ₚand the number of system zeros N in the frequency range 1 Hz ≤ f ≤ 10 ⁷Hz is

image

  1. A
    N ₚ= 5, N = 2
  2. B
    N ₚ= 6, N = 3
  3. C
    N ₚ= 7, N = 4
  4. D
    N ₚ= 4, N = 2

Solution & Step-by-step Explanation

Concept:

- The slope of the bode plot decreases by 20 dB/decade at the pole
- The slope of the bode plot increases by 20 dB/decade at zero

Application:
Frequency (Hz)Change of slopeNo-of poles /zeroes
10-20 dB/dec1 pole
100-40 dB/dec2 pole
1000+20 dB/decade1 zero
10,000+40 dB/decade2 zero
10 ⁵-40 dB/dec2 pole
10 ⁶-20 dB/dec1 pole
Total poles: 6 = N

Total zeros: 3 = N

Practice this question

Try it yourself before checking the explanation above.

For an LTI system, the Bode plot for its gain is as illustrated in the figure shown. The number of system poles N ₚand the number of system zeros N in the frequency range 1 Hz ≤ f ≤ 10 ⁷Hz is

image
A
N ₚ= 5, N = 2
B
N ₚ= 6, N = 3
C
N ₚ= 7, N = 4
D
N ₚ= 4, N = 2

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