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A system transfer function is H(s) = (a1s² + b1s + c1)/(a2s² + b2s + c2). If a1 = b1 = 0, and all other coefficients are positive, the transfer function represents a

1. low pass filter
2. high pass filter
3. band pass filter
4. notch filter

Correct answer: low pass filter

Solution

When the numerator of the transfer function is a constant (since a1 and b1 are zero), and the denominator is a second-degree polynomial with positive coefficients, the system allows low-frequency signals to pass while attenuating higher frequencies, characteristic of a low pass filter.

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