<content> <p>Complex & Polar</p> </content>

765ee244-75f3-413a-822e-5288b9260da4 9 Norm Schutzkus 4 5 false false 0 decimal

&[DATE] &[TIME] - &[FILENAME]

z Conjugate z Re i z Im * - 11 line :

mag ang ∠ mag ang deg * cos i ang deg * sin * + (* :

z1 2.236 63.435 ∠ :

x ∠ x abs x arg 21 mat :

j 1 - sqrt :

z1 1 1.9999 i * +

z1 Re 1

z1 abs 2.236

z1 arg deg 63.435

z1 Im 1.9999

z1 arg rad 1.1071

z1 ∠ 1 el 2.24

z1 ∠ 2 el ° 63.43

R 10 Ω * :

C 10 mF * :

f 60 Hz * :

E 1200 ∠ V * :

ω 2 π * f * :

x f k maximize result x f x diff x k ≡ FindRoot : x k Clear result 31 line :

x f maple_maxmin x temp x f x diff : x temp x solve maple 21 line :

r Z 11 r / j ω * C * + / Re R + (2^11 r / j ω * C * + / Im (2^+ sqrt :

correct with original equation r Z 1 Ω * maximize #

r Z maple_maxmin Stack empty.

x.L 0.01 Ω * (2 Ω * (0.02 Ω * range :

x.L Ω / x.L Z Ω / vectorize augment

P x.L x.L Z vectorize augment :

P max 10.1335 Ω *