ELEN 3351 – Electromagnetics
Homework -2
Problem 1.17 Complex numbers z1 and z2 are given by
z1 = 3− j2
z2 = −4+ j3
(a) Express z1 and z2 in polar form.
(b) Find |z1|
(c) Determine the product z1z2 in polar form.
(d) Determine the ratio z1/z2 in polar form.
(e) Determine z13 in polar form.
Problem 1.18 Complex numbers z1 and z2 are given by
z1 = −3+ j2
z2 = 1− j2
Determine (a) z1z2, (b) z1/z2*, (c) z12, and (d) z1z1*, all in polar form.
Problem 1.21 Complex numbers z1 and z2 are given by
z1 = 5−60◦
z2 = 445◦
(a) Determine the product z1z2 in polar form.
(b) Determine the product z1 z2* in polar form.
(c) Determine the ratio z1/z2 in polar form.
(d) Determine the ratio z1* / z2* in polar form.
(e) Determine √z1 in polar form.