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?

Of the four characteristics given below, which are the major requirements for an instrumentation amplifier?
P. $$\,\,\,\,$$High common mode rejection ratio
Q. $$\,\,\,\,$$High input impedance
R. $$\,\,\,\,$$High linearity
S. $$\,\,\,\,$$High output impedance

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

The operational amplifier shown in the figure is ideal. The input voltage (in Volt) is $${V_i} = 2\sin \left( {2\pi \times 2000t} \right).$$ The amplitude of the output voltage $${V_0}$$ (in Volt) is __________.