GATE ECE 2004 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2004

MCQ (Single Correct Answer)

-0.3

For the circuit shown in figure, the time constant $$RC = 1$$ $$ms$$. The input voltage is $${v_i}\left( t \right) = \sqrt 2 \,\sin \,{10^3}t$$. The output voltage $${v_0}\left( t \right)$$ is equal to GATE ECE 2004 Network Theory - Sinusoidal Steady State Response Question 39 English

GATE ECE 2004 Network Theory - Sinusoidal Steady State Response Question 39 English

$$\sin \left( {{{10}^3}t - {{45}^0}} \right)$$

$$\sin \left( {{{10}^3}t + {{45}^0}} \right)$$

$$\sin \left( {{{10}^3}t - {{53}^0}} \right)$$

$$\sin \left( {{{10}^3}t + {{53}^0}} \right)$$

GATE ECE 2004

MCQ (Single Correct Answer)

-0.3

The circuit shown in figure, with $$R = 1/3\Omega $$, $$L = 1/4H$$, $$C = 3F$$ has input voltage $$v\left( t \right) = \sin \,2t$$. The resulting current $$i(t)$$ is GATE ECE 2004 Network Theory - Sinusoidal Steady State Response Question 40 English

GATE ECE 2004 Network Theory - Sinusoidal Steady State Response Question 40 English

$$5\,\sin \left( {2t + {{53.1}^0}} \right)$$

$$5\,\sin \left( {2t - {{53.1}^0}} \right)$$

$$25\,\sin \left( {2t + {{53.1}^0}} \right)$$

$$25\,\sin \left( {2t - {{53.1}^0}} \right)$$

GATE ECE 2004

MCQ (Single Correct Answer)

-0.6

Consider the following statements S1 and S2.

S₁: The $$\beta$$ of a bipolar transistor reduces if the base width is increased.

S₂: The $$\beta$$ of a bipolar transistor increases if the doping concentration in the base in increased

Which one of the following is correct?

S₁ is FALSE and S₂ is TRUE

Both S₁ and S₂ are TRUE

S₁ is TRUE and S₂ is FALSE

Both S₁ and S₂ are FALSE

GATE ECE 2004

MCQ (Single Correct Answer)

-0.6

The circuit shown in Fig, has initial current $${\mathrm i}_\mathrm L\left(0^-\right)\;=\;1\;\mathrm A$$ through the inductor and an initial voltage $${\mathrm v}_\mathrm C\left(0^-\right)\;=\;-1\;\mathrm V$$ across the capacitor. For input v(t) = u(t), the Laplace transform of the current i(t) for t ≥ 0 is

GATE ECE 2004 Network Theory - Transient Response Question 31 English

$$\frac s{s^2\;+\;s\;+\;1}$$

$$\frac{s\;+\;2}{s^2\;+\;s\;+\;1}$$

$$\frac{s\;-\;1}{s^2\;+\;s\;+\;1}$$

$$\frac{s\;+\;1}{s^2\;+\;s\;+\;1}$$

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