GATE EC 2021: Analog Circuits Quiz 9

Consider the following circuit as shown in figure below:

Assume op-amp to be ideal and knee voltage of diode = 0.7 V and neglect reverse saturation current of diode. Find the value of current I_D through diode such that op-amp operates in saturation region.

Assume that the Op-amps are ideal then find V_o as a function of V₁ and V₂.

The approximate transfer characteristic for the circuit shown below with an ideal operational amplifier and diode will be

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 time t = 0 as shown. Assuming that the operational amplifier is not saturated, the time constant (in millisecond) of the output voltage V₀ is

Consider the circuit shown in the figure. In this circuit R = 1 kΩ and C = 1 μF. 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 V₀ and phase angle δ radian. What is the value of the output phase angle δ (in radian) relative to the phase angle of the input voltage?