Complex Numbersmedium
0:00.0

An electrical engineer models the impedance of two components in series as Z1=4+2iZ_1 = 4 + 2i ohms and Z2=15iZ_2 = 1 - 5i ohms. If the total impedance ZtotalZ_{total} is the sum of Z1Z_1 and Z2Z_2, what is the phase angle of the total impedance, given by θ=arctan(Im(Ztotal)Re(Ztotal))\theta = \arctan(\frac{\text{Im}(Z_{total})}{\text{Re}(Z_{total})})?