(50 marks) Question 1. Consider the circuit shown below.
Va
Ra
Vo
Vb
Rb
Vc
Rc
Figure 1: Circuit used in questions 1 and 2.
a) (30 marks) Suppose $V_b = V_c = 0$. Find the voltage, at the output and how it depends on $V_a$.
Note: the more you simplify your answer, the easier it will be to find the next answer.
b) (10 marks) Using super position, show that $V_o$ can be understood as some sort of average of $V_a$,
$V_b$, and $V_c$.
c) (10 marks) What determines which one of the three input voltages has a bigger contribution to
$V_o$?