Transmission line reflection coefficient

[fran1942]

Hello, I am looking at the following calculation for the reflection coefficient of a transmission line using the formula ((ZL - ZO) / (ZL +ZO)
I can understand it all apart from the last part (0.355e^j).
Can someone please tell me how that figure was gained from (-0.354 + 0.030j)

(216 + j15 - 452.38) / (216 + j15 + 452.38)

= (236.38 + j15) / (668.38 + j15)

= -0.354 + 0.030j

= 0.355e^j

 

[tiny-tim]

hello fran1942!

(try using the X² button just above the Reply box )

= -0.354 + 0.030j

= 0.355e^j

0.355 is the magnitude (the modulus) of the complex number -0.354 + 0.030j (use Pythagoras )

the e^j must be a misprint for e^jθ,

where θ is … ? ​