1
GATE ECE 2009
MCQ (Single Correct Answer)
+1
-0.3
Given that $$F(s)$$ is the one-sided Laplace transform of $$f(t),$$ the Laplace transform of $$\int\limits_0^t {f\left( \tau \right)} d\tau $$ is
A
$$s\,\,F\left( s \right) - f\left( 0 \right)$$
B
$${1 \over s}F\left( s \right)$$
C
$$\int\limits_0^s {f\left( \tau \right)} d\tau $$
D
$${1 \over s}\left[ {F\left( s \right) - f\left( 0 \right)} \right]$$
2
GATE ECE 2009
MCQ (Single Correct Answer)
+1
-0.3
If $$f\left( z \right) = {C_0} + {C_1}{z^{ - 1}}\,\,$$ then $$\oint\limits_{|z| = 1} {{{1 + f\left( z \right)} \over z}} \,\,dz$$ is given
A
$$2\,\pi \,{C_1}$$
B
$$2\,\pi \,(1 + {C_0})$$
C
$$2\,\pi \,j\,{C_1}$$
D
$$2\,\pi \,j\,(1 + {C_0})$$
3
GATE ECE 2009
MCQ (Single Correct Answer)
+1
-0.3

In the interconnection of ideal sources shown in the figure, it is known that the 60V source is absorbing power.

GATE ECE 2009 Network Theory - Network Elements Question 35 English

Which of the following can be the value of the current source I?

A
10 A
B
13 A
C
15 A
D
18 A
4
GATE ECE 2009
MCQ (Single Correct Answer)
+2
-0.6
In the circuit shown, what value of RL maximizes the power delivered to RL? GATE ECE 2009 Network Theory - Network Theorems Question 18 English
A
$$2.4\Omega$$
B
$$\frac8{3}\Omega$$
C
$$4\Omega$$
D
$$6\Omega$$
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