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1

### GATE EE 2015 Set 2

The filters $${F_1}$$ and $${F_2}$$ having characteristics as shown in figures $$(a)$$ and $$(b)$$ are connected as shown in Figure $$(c).$$ The cut-off frequencies of $$F1$$ and $$F2$$ are $${f_1}$$ and $${f_2}$$ respectively. If $${f_1}\, < \,{f_2},$$ the resultant circuit exhibits the characteristic of a

A
Band-pass filter
B
Band-stop filter
C
All pass filter
D
High-Q filter
2

### GATE EE 2015 Set 1

Consider the circuit shown in the figure. In this circuit $$R = 1\,\,k\Omega ,$$ and $$C = 1\,\,\mu F.$$ The input voltage is sinusoidal with a frequency of $$50$$ $$Hz,$$ represented as a phasor with magnitude $${V_i}$$ and phase angle $$0$$ radian as shown in the figure. The output voltage is represented as a phasor with magnitude $${V_0}$$ and phase angle $$\delta$$ radian. What is the value of the output phase angle $$\delta$$ (in radian) relative to the phase angle of the input voltage? A
$$0$$
B
$$\pi$$
C
$$\pi /2$$
D
$$- \pi /2$$
3

### GATE EE 2014 Set 3

An operational-amplifier circuit is shown in the figure. The output of the circuit for a given input $${V_i}$$ is

A
$$- \left( {{{{R_2}} \over {{R_1}}}} \right){V_i}$$
B
$$- \left( {1 + {{{R_2}} \over {{R_1}}}} \right){V_i}$$
C
$$\left( {1 + {{{R_2}} \over {{R_1}}}} \right){V_i}$$
D
$$+ {V_{sat}}\,\,$$ or $$- {V_{sat}}\,\,$$
4

### GATE EE 2013

In the circuit shown below what is the output voltage $$\left( {{V_{out}}} \right)$$ in Volts If a silicon transfer $$Q$$ and an ideal op-amp are used? A
$$-15$$
B
$$-0.7$$
C
$$+0.7$$
D
$$+15$$
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