eeet-221/_Homework/hw2.md

Skyler MacDougall

Homework 2: Due 1/29/2020

7. Consider the circuit below, with R=1k\Omega.

   

   1. Determine the transconductance. g={1\over R}={1\over 1k\Omega}=100\mu S

   2. For V_1=10V determine i_L for R_L=500\Omega. i_L=i_i={V_i\over R}={10V\over1k\Omega}\ i_L=1mA

   3. Repeat (2.) for R_L=1k\Omega.

      i_i=i_L \therefore i_L = 1mA

   4. Determine the maximum value for R_L for linear operation. i_iR_L<V_{sat};i_i=1mA;V_{sat}=13V\ R_L=1.3k\Omega

8. Consider the circuit below.

   

   1. Determine the transconductance. g={1\over R}={1\over 2k\Omega}=500\mu S

   2. For V_i=6V and R_L=1.2k\Omega, determine i_L. i_L={V_i\over R}={6V\over 2k\Omega}\ i_L=3mA

   3. Determine the maximum value for R_L for linear operation. R_Li_L<{V_{sat}\over2}

9. Consider the circuit below.

   

   1. Determine the value of \beta. \beta=1+{R_2\over R_1}=1+{8k\Omega\over2k\Omega}\ \beta=5

   2. For i_i=0.6mA and R_L=1k\Omega, verify linear operation. (R_2+\beta R_L)(i_i)<V_{sat}\ (8k\Omega+5(1k\Omega))(0.6mA)<13V\ 13\cancel{k}\Omega*0.6\cancel{m}A<13V \ 7.8V<13V

   3. Determine i_L for the conditions in (2.) i_L=\beta i_i\ i_L=3mA

10. Consider the circuit below.

    

    1. Write an equation for V_O in terms of the three input voltages. V_O=-(V_1+2V_2+4V_3)

    2. Determine V_O given V_1=10V;V_2=3V;V_3=-7V. V_O=-(10V+2(3V)+4(-7V))=28V-16V\ V_O=12V

    3. Determine V_O given V_1=8V;V_2=-4V;V_3=5V. V_O=-(\cancel{8V}+\cancel{2(4V)}+4(5V))\ V_O=-20V

11. Design a current controlled voltage source to have a transresistance of 2k\Omega. Then determine the peak value i_{i_{pk}} permitted for the input current for linear operation.

V_O=-Ri_i<V_{sat}\ 2k\Omega*i_i<13V\ i_i=6.5mA

39. Design a linear combination circuit to combine two signals as follows:

v_o=-4v_1-8v_2 Using the following specifications:

1. R_{in}\ge10k\Omega at both inputs
2. All resistance values \le100k\Omega

41. Design a balanced closed-loop differential circuit to combine two signals as follows: v_o=3(v_1-v_2) Use resistances in the range of 10k\Omega-100k\Omega.