Vector multiplication: P = 3 [ {E_p • sin(beta)} / X ]

[Beau]

Vector multiplication: P = 3 [ {E_p • sin(beta)} / X ]



Hello,

Can anyone help me in how to get from the equation above to the one below?

Thanks!

 

[stapel]

. . . . .\(\displaystyle 3\, \mathcal{Re}\, \left(j\, \underline{V}\, \cdot\, \dfrac{\underline{E}^*_p}{X}\right)\)

Can anyone help me in how to get from the equation above to the one below?

. . . . .\(\displaystyle P\, =\, 3\, \dfrac{E_p\, V\, \sin(\beta)}{X}\)

Um... maybe.... In your image, it looks like "P" represents only part of the preceding line...? Are you given any information about this? And are you given any info on any of the variables in the two expressions?

When you reply, please include a clear listing of your thoughts and efforts so far. Thank you!

 

[Beau]

Um... maybe.... In your image, it looks like "P" represents only part of the preceding line...? Are you given any information about this? And are you given any info on any of the variables in the two expressions?

When you reply, please include a clear listing of your thoughts and efforts so far. Thank you!

Yes, the second part of that line is equal to zero. I did forget to mention that [FONT=MathJax_Math-italic]β[/FONT] is the angle between the two vectors,.

My thoughts are that dot product was used for the multiplication of the vectors and that because of the conjugate and cos(pi/2-[FONT=MathJax_Math-italic]β) = sin(β) this was the result. [/FONT]

 

[stapel]

Yes, the second part of that line is equal to zero. I did forget to mention that β is the angle between the two vectors,.

My thoughts are that dot product was used for the multiplication of the vectors and that because of the conjugate and cos(pi/2-β) = sin(β) this was the result.

Do the underlined variables represent vectors? What does "P" stand for? What is the relationship between \(\displaystyle \underline{E_p}^*\) and \(\displaystyle E_p\)? What is the relationship between V and V? What is j? Does the middle dot in the first expression represent the dot product, rather than multiplication? Are you given any information about E or V?

Thank you!