Exams › GATE › Technical

For the transfer function G(s) = 5(s + 4) / [s(s + 0.25)(s² + 4s + 25)] The values of the constant gain term and the highest corner frequency of the Bode plot respectively are

1. 3.2, 5.0
2. 16.0, 4.0
3. 3.2, 4.0
4. 16.0, 5.0

Correct answer: 3.2, 5.0

Solution

Bode gain constant = (5*4)/(0.25*25)=20/6.25=3.2. Corner frequencies are 0.25, 4 (from s+4), and wn=5 (from s^2+4s+25). The highest corner frequency is 5.0, so the pair is (3.2, 5.0).

Related GATE Technical questions

• C0 is the capacitance of a parallel plate capacitor with air as dielectric (as in figure (a)). If, half of the entire gap as shown in figure (b), is filled with a dielectric of permittivity εr, the expression for the modified capacitance is
• The undesirable property of an electrical insulating material is
• Q.17 In the formation of Routh-Hurwitz array for a polynomial, all the elements of a row have zero values. This premature termination of the array indicates the presence of
• Q.18 The root locus of a unity feedback system is shown in the figure
• Q.19 Power consumed by a balanced 3-phase, 3-wire load is measured by the two wattmeter method. The first wattmeter reads twice that of the second. Then the load impedance angle in radians is
• Q.20 In an oscilloscope screen, linear sweep is applied at the

⚔️ Practice GATE Technical free + battle 1v1 →