Determine the transfer function $$\left( {{{{V_y}} \over {{V_x}}}} \right)$$ for the $$RC$$ network shown in figure $$(1).$$

The network is used as a feedback circuit in an oscillator circuit shown in figure $$(2)$$ to generate sinusoidal oscillations. Assuming that the operational amplifier is ideal, determine the value of $${R_F}$$ for generating these oscillations. Also determine the oscillation frequency if $$R = 10\,\,k\Omega $$ and $$C=100PF$$

The output voltage$$\left( {{V_0}} \right)$$ of the Schmitt trigger shown in figure swings between $$+15V$$ and $$–15V.$$ Assume that the operational amplifier is ideal. The output will change from $$+15V$$ to $$–15V$$ when the instantaneous value of the input sine wave is

For the circuit shown in Figure, $${{\rm I}_E} = 1\,\,mA,\,\,\,\beta = 99$$ and $${V_{BE}} = 0.7\,\,V$$ determine

(a) Current through $${R_1}$$ and $${R_C}$$
(b) The output voltage $${V_0}$$
(c) The value of $${R_F}$$

The forward resistance of the diode shown in figure is $$5\Omega $$ and the remaining parameters are same as those of ideal diode. The $$DC$$ component of the source current is