An IC 555 chip has been used to construct a pulse generator. Typical pin connections with components is shown below in fig. for such application. However it is desired to generate a square pulse of 10KHz.. Evaluate values of $${R_{A\,}}$$ and $${R_{B\,}}$$ and if the capacitor has the value of 0.01$$\mu $$F for the configuration closed. If necessary you can suggest modifications in the external circuit configuration.

The output voltage V₀ of the circuit shown in the figure is

Consider the circuit given in fig. using an ideal operational Amplifier.

The characteristics of the diode are given by the relation I = I_s $$\left[ {{e^{{{qV} \over {KT}}}} - 1} \right],$$

Where V is the forward voltage across the diode
(a)Express V₀ as a function of V_i assuming V_i> 0.
(b)If R = 100K$$\Omega $$ , I_s = 1$$\mu $$A and $${{KT} \over q}\,\, = \,\,25mV$$

The line code that has zero dc component for pulse transmission of random binary data is