Given that, Is = 10 A, R = 10 MQ and V = 0.0259 V. Also,...

Transcribed Image Text:

Given that, Is = 10⁹ A, R₁ = 10 MQ and V₁ = 0.0259 V. Also, the diode Shockley equation that relates the current through it to the voltage across the diode is given by: ID = Is*exp[(VD/V+)-1] where exp() is the exponential function. 1. Consider the following two circuits given below: Vin ww R₁ VD +V sat -V sat Circuit - 1 Vout Vin + ID VD VD R₁ ww +V sat V sat Circuit - 2 a) Solve both circuits and find their expressions of Vout. What mathematical operations are the two circuits performing on the input voltages? [CO1] [10] Vout b) Find the output values of the two circuits with Vin = 0.01V, 0.02V, 0.05V and 0.1V. Draw a table with two columns, one for output of Circuit-1 and one for Circuit-2, and enter 3 entries for the three input voltages above. [CO1] [4] c) From the table obtained from (b), which of the outputs of the two circuits seem to grow faster? Explain your reasoning from the expressions obtained in (a) and tabular values from (b). [CO2] [6] d) Now connect the output of the first circuit with the input of the second circuit. Draw the connected circuit and find the output voltage expression from an arbitrary input, Vin. [CO2] [10] Given that, Is = 10⁹ A, R₁ = 10 MQ and V₁ = 0.0259 V. Also, the diode Shockley equation that relates the current through it to the voltage across the diode is given by: ID = Is*exp[(VD/V+)-1] where exp() is the exponential function. 1. Consider the following two circuits given below: Vin ww R₁ VD +V sat -V sat Circuit - 1 Vout Vin + ID VD VD R₁ ww +V sat V sat Circuit - 2 a) Solve both circuits and find their expressions of Vout. What mathematical operations are the two circuits performing on the input voltages? [CO1] [10] Vout b) Find the output values of the two circuits with Vin = 0.01V, 0.02V, 0.05V and 0.1V. Draw a table with two columns, one for output of Circuit-1 and one for Circuit-2, and enter 3 entries for the three input voltages above. [CO1] [4] c) From the table obtained from (b), which of the outputs of the two circuits seem to grow faster? Explain your reasoning from the expressions obtained in (a) and tabular values from (b). [CO2] [6] d) Now connect the output of the first circuit with the input of the second circuit. Draw the connected circuit and find the output voltage expression from an arbitrary input, Vin. [CO2] [10]