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 op-amp shown in the figure has a finite gain $$A = 1000$$ and an infinite input resistance. A step voltage $${V_i} = 1\,\,mV$$ is applied at the input at time $$t = 0$$ as shown. Assuming that the operational amplifier is not saturated, the time constant (in millisecond) of the output voltage $${V_o}$$ is

Find the transfer function $${{Y\left( s \right)} \over {X\left( s \right)}}$$ of the system given below: