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Mathematics 8 Online
OpenStudy (anonymous):

any nifty trick to computing curl in phaser domain?

OpenStudy (anonymous):

I will write out my problem

OpenStudy (anonymous):

Given an Electric Field {4 cos(6*10^8 t- 2z), 3 sin(6*10^8-2z)} Find associated Magnetic Field

OpenStudy (anonymous):

using the formula \[H=\frac{1}{j \omega \epsilon} \nabla x E\]

OpenStudy (anonymous):

so we find phaser \[<4 e^{-2zj},-j3e^{-2zj}>\]

OpenStudy (anonymous):

of course we are only taking the real component

OpenStudy (anonymous):

so we have to find the curl of that

OpenStudy (anonymous):

x component \[\partial /\partial y()- \partial/\partial z(y component)\]

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