1
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
$$2\,\pi \,j\,(1 + {C_0})$$
2
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
3
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 21 English
A
$$2.4\Omega$$
B
$$\frac8{3}\Omega$$
C
$$4\Omega$$
D
$$6\Omega$$
4
GATE ECE 2009
MCQ (Single Correct Answer)
+2
-0.6
The time domain behavior of an RL circuit is represented by $$$\mathrm L\frac{\mathrm{di}\left(\mathrm t\right)}{\mathrm{dt}}+\mathrm{Ri}\;=\;{\mathrm V}_0\left(1\;+\;\mathrm{Be}^{-\mathrm{Rt}/\mathrm L}\;\sin\;\mathrm t\right)\mathrm u\left(\mathrm t\right)$$$ For an initial current of i(0) = $$\frac{{\mathrm V}_0}{\mathrm R}$$, the steady state value of the current is given by
A
$$\mathrm i\left(\mathrm t\right)\rightarrow\frac{{\mathrm V}_0}{\mathrm R}$$
B
$$\mathrm i\left(\mathrm t\right)\rightarrow\frac{2{\mathrm V}_0}{\mathrm R}$$
C
$$\mathrm i\left(\mathrm t\right)\rightarrow\frac{{\mathrm V}_0}{\mathrm R}\left(1+\mathrm B\right)$$
D
$$\mathrm i\left(\mathrm t\right)\rightarrow\frac{2{\mathrm V}_0}{\mathrm R}\left(1+\mathrm B\right)$$
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