GATE ECE 2004 | Sinusoidal Steady State Response Question 32 | Network Theory

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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 transfer function $$H\left( s \right) = {{{V_0}\left( s \right)} \over {{V_i}\left( s \right)}}$$ of an R-L-C circuit is given by
$$H\left( s \right) = {{{{10}^6}} \over {{s^2} + 20s + {{10}^6}}}$$

The Quality factor (Q-factore) of this circuit is

$$25$$

$$50$$

$$100$$

$$5000$$

GATE ECE 2003

MCQ (Single Correct Answer)

-0.6

The current flowing through the resistance R in the circuit in figure has the form P cos 4t, where P is GATE ECE 2003 Network Theory - Sinusoidal Steady State Response Question 55 English

GATE ECE 2003 Network Theory - Sinusoidal Steady State Response Question 55 English

(0.18 + j 0.72)

(0.46 + j 1.90)

-(0.18 + j 1.90)

-(0.192 + j 0.144)

GATE ECE 2003

MCQ (Single Correct Answer)

-0.6

An input voltage $$v(t)$$ $$ = 10\sqrt 2 \,\,\cos \,\,\left( {t + {{10}^0}} \right) + 10\sqrt 5 \,\,\cos \left( {2t + {{10}^0}} \right)\,\,V$$ is applied to a series combination of resistance $$L = 1H$$. the resulting steady - state current $$i(t)$$ in ampere is

$$10\cos \left( {t + {{55}^0}} \right) + 10\,\cos \left( {2t + {{10}^0} + {{\tan }^{ - 1}}\,2} \right)$$

$$10\cos \left( {t + {{55}^0}} \right) + 10\sqrt {{3 \over 2}} \,\cos \left( {2t + {{55}^0}} \right)$$

$$10\cos \left( {t - {{35}^0}} \right) + 10\cos \left( {2t + {{10}^0} - {{\tan }^{ - 1}}\,2} \right)$$

$$10\cos \left( {t - {{35}^0}} \right) + 10\sqrt {{3 \over 2}} \,\cos \left( {2t - {{35}^0}} \right)$$

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