List of top Biomedical Engineering Questions on Electrical Circuits

In the following circuit with an ideal operational amplifier, the capacitance of the parallel plate capacitor \(C\) is given by the expression \(C=\left(\dfrac{\varepsilon A}{x}\right)\), where \(\varepsilon\) is the dielectric constant of the medium between the capacitor plates, and \(A\) is the cross-sectional area. In the above relation, \(x\) is the separation between the two parallel plates, given by \(x=x_0+kt\), where \(t\) is time; \(x_0\) and \(k\) are positive non-zero constants. If the input voltage \(v_i\) is constant, then the output voltage \(v_0\) is given by __________________.
For the circuit given below, choose the angular frequency \(\omega_0\) (in rad/s) at which the voltage across the capacitor has maximum amplitude?