1
GATE EE 2001
MCQ (Single Correct Answer)
+2
-0.6
A sample-and-hold $$(S/H)$$ circuit, having a holding capacitor of $$0.1$$ $$nF,$$ is used at the input of an $$ADC$$ (analog-to-digital converter). The conversion time of the $$ADC$$ is $$1\,\,\mu \sec ,$$ and during this time, the capacitor should not lose more than $$0.5\% $$ of the charge put across it during the sampling time. The maximum value of the input signal to the $$S/H$$ circuit is $$5V.$$ The leakage current of the $$S/H$$ circuit should be less than
A
$$2.5$$ $$mA$$
B
$$0.25$$ $$mA$$
C
$$25.0$$ $$\mu A$$
D
$$2.5$$ $$\mu A$$
2
GATE EE 2001
MCQ (Single Correct Answer)
+2
-0.6
An $$N$$-channel $$JFET$$ having a pinch-off voltage $$\left( {{V_P}} \right)$$ of $$-5V$$ shows a transconductance (gm) of $$1$$ $$mA/V$$ when the applied Gate to source voltage $$\left( {{V_{GS}}} \right)$$ is $$-3V.$$ Its maximum transconductance (in $$mA/V$$) is
A
$$1.5$$
B
$$2.0$$
C
$$2.5$$
D
$$3.0$$
3
GATE EE 2001
MCQ (Single Correct Answer)
+1
-0.3
The polar plot of a type-$$1, 3$$-pole, open-loop system is shown in Fig. below. The closed loop system is GATE EE 2001 Control Systems - Polar Nyquist and Bode Plot Question 52 English
A
always stable
B
marginally stable
C
unstable with one pole on the right half $$s$$-plane
D
unstable with two poles on the right half $$s$$-plane.
4
GATE EE 2001
Subjective
+5
-0
A unity feedback system has an open-loop transfer function of $$G\left( s \right) = {{10000} \over {s{{\left( {s + 10} \right)}^2}}}$$
(a) Determine the magnitude of $$G\left( {j\omega } \right)$$ in dB at an angular frequency of $$\omega = 20rad/\sec .$$
(b) Determine the phase margin in degrees.
(c) Determine the gain margin in $$dB.$$
(d) Is the system stable or unstable?