1
GATE ECE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The damping ratio of a series RLC circuit can be expressed as
A
$$\frac{R^2C}{2L}$$
B
$$\frac{2L}{R^2C}$$
C
$$\frac R2\sqrt{\frac CL}$$
D
$$\frac2R\sqrt{\frac LC}$$
2
GATE ECE 2015 Set 1
Numerical
+1
-0
A unity negative feedback system has the open-loop transfer function $$$G\left(s\right)\;=\;\frac K{s\left(s\;+\;1\right)\left(s\;+\;3\right)}$$$ The value of the gain K (>0) at which the root locus crosses the imaginary axis is _________.
Your input ____
3
GATE ECE 2015 Set 1
Numerical
+2
-0
The open-loop transfer function of a plant in a unity feedback configuration is given as $$G\left(s\right)=\frac{K\left(s+4\right)}{\left(s+8\right)\left(s^2-9\right)}$$.The value of the gain K(>0) for which -1 + j2 lies on the root locus is __________________.
Your input ____
4
GATE ECE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6
A plant transfer function is given as $$$G\left(s\right)=\left(K_p+\frac{K_1}s\right)\left(\frac1{s\left(s+2\right)}\right)$$$ . When the plant operates in a unity feedback configuration, the condition for the stability of the closed loop system is
A
$$K_p>\frac{K_1}2>0$$
B
$$2K_1>K_p>0$$
C
$$2K_1\;<\;K_p$$
D
$$2K_1>K_p$$
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