1
GATE ECE 2017 Set 2
MCQ (Single Correct Answer)
+2
-0.6
An integral $${\rm I}$$ over a counter clock wise circle $$C$$ is given by $${\rm I} = \oint\limits_c {{{{z^2} - 1} \over {{z^2} + 1}}} \,\,{e^z}\,dz$$
If $$C$$ is defined as $$\left| z \right| = 3,$$ then the value of $${\rm I}$$ is
A
$$ - \pi i\,\,\sin \left( 1 \right)$$
B
$$ - 2\pi i\,\,\sin \left( 1 \right)$$
C
$$ - 3\pi i\,\,\sin \left( 1 \right)$$
D
$$ - 4\pi i\,\,\sin \left( 1 \right)$$
2
GATE ECE 2017 Set 2
Numerical
+1
-0

A connection is made consisting of resistance A in series with a parallel combination of resistances B and C. Three resistors of value 10 Ω, 5 Ω, 2 Ω are provided. Consider all possible permutations of the given resistors into the positions A, B, C, and identify the configurations with maximum possible overall resistance, and also the ones with minimum possible overall resistance. The ratio of maximum to minimum values of the resistances (up to second decimal place) is ____________.

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3
GATE ECE 2017 Set 2
Numerical
+2
-0

Consider the circuit shown in the figure.

GATE ECE 2017 Set 2 Network Theory - Network Theorems Question 8 English

The Thevenin equivalent resistance (in Ω) across P – Q is _________.

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4
GATE ECE 2017 Set 2
Numerical
+2
-0

The switch in the circuit, shown in the figure, was open for a long time and is closed at t = 0. The current i(t) (in ampere) at t = 0.5 seconds is ________

GATE ECE 2017 Set 2 Network Theory - Transient Response Question 20 English
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