Calculate the frequency at which zero- transmission is obtained from the Wien- bridge shown in Fig.

Assuming that the amplifier shown in the Fig., below, is a voltage-controlled voltage source, show that the voltage transfer function of the network is given by
$$T(s) = {{{V_2}\,(s)} \over {{V_1}\,(s)}} = \,{K \over {{s^2} + \,(3 - K)\,s + 1}}$$

A ramp voltage, v(t) = 100 t Volts, is applied to an RC differentiating circuit with R = $$5k\Omega$$ and C = $$4\mu F$$.The maximum output voltage is

Write down the mesh equation of the following network in terms of i₁(t) and i₂(t).Derive the differential equation for i₁(t) from these and solve it.