In the circuit below, the opamp is ideal.
If the circuit is to show sustained oscillations, the respective values of $R_1$ and the corresponding frequency of oscillation are ____.
The $$\mathrm{{{{V_{OUT}}} \over {{V_{IN}}}}}$$ of the circuit shown below is
A sample and hold circuit is implemented using a resistive switch and a capacitor with a time constant of 1 $$\mu$$s. The time for the sampling switch to stay closed to charge a capacitor adequately to a full scale voltage of 1 V with 12-bit accuracy is ___________ $$\mu$$s (rounded off to two decimal places).
A circuit with an ideal OPAMP is shown. The Bode plot for the magnitude (in dB) of the gain transfer function (Av(j$$\omega$$) = Vout(j$$\omega$$)/Vin(j$$\omega$$)) of the circuit is also provided (here, $$\omega$$ is the angular frequency in rad/s). The values of R and C are __________.