PLEASE HELP ASAP!! DUE TONIGHT! Pictures have all of the questions but i tried to copy and paste below too. The two resistors
shown in the circuit are referred to as in
parallel. The total resistance of the resistors is
given by the formula __1
RT
= __1
R1
+ __1
R2
.
R1
= 4 + 2i ohms
R2
= 1 + i ohms
R1 R2
a. Find the total resistance. Write your answer
in the form a + bi.
b. Show that the total resistance is equivalent
to the expression _ (wont type)
c. Change the value of R2 so that the total
resistance is a real number. Explain how you
chose the value.
47. Use Structure The complex number a + bi
can be represented on a coordinate plane as
the point (a, b). You can use multiplication
by i to rotate a point about the origin in the
coordinate plane.
a. Write the point (x, y) on the graph as the
complex number x + yi.
b. Multiply the complex number by i. Interpret
the new value as a new point in the plane.
c. Repeat the steps above for two other points.
How does multiplication by i rotate a point?