GATE ECE 2009 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2009

MCQ (Single Correct Answer)

-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

$$2\,\pi \,{C_1}$$

$$2\,\pi \,(1 + {C_0})$$

$$2\,\pi \,j\,{C_1}$$

$$2\,\pi \,j\,(1 + {C_0})$$

GATE ECE 2009

MCQ (Single Correct Answer)

-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?

10 A

13 A

15 A

18 A

GATE ECE 2009

MCQ (Single Correct Answer)

-0.6

In the circuit shown, what value of R_L maximizes the power delivered to R_L? GATE ECE 2009 Network Theory - Network Theorems Question 18 English

$$2.4\Omega$$

$$\frac8{3}\Omega$$

$$4\Omega$$

$$6\Omega$$

GATE ECE 2009

MCQ (Single Correct Answer)

-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

$$\mathrm i\left(\mathrm t\right)\rightarrow\frac{{\mathrm V}_0}{\mathrm R}$$

$$\mathrm i\left(\mathrm t\right)\rightarrow\frac{2{\mathrm V}_0}{\mathrm R}$$

$$\mathrm i\left(\mathrm t\right)\rightarrow\frac{{\mathrm V}_0}{\mathrm R}\left(1+\mathrm B\right)$$

$$\mathrm i\left(\mathrm t\right)\rightarrow\frac{2{\mathrm V}_0}{\mathrm R}\left(1+\mathrm B\right)$$

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