Magnitude and phase angle of the resistor voltage

[Saeed.z]

the question is to find the magnitude and phase angle of the resistor voltage in the circuit below :

http://img513.imageshack.us/img513/1035/ee204.jpg

i want you guy's to check my solution please .

thanks .

 

[gneill]

You've arrived at correct results, although your magnitude could perhaps be expressed a tad more elegantly. If you begin with your expression for M and realize that resistance R is a positive constant, then the magnitude of the numerator and denominator can be taken separately:

$|\hat{M}| = \frac{|R|}{|R + j\omega L |}$

and then

$|\hat{M}| = \frac{R}{\sqrt{R^2 + \omega^2 L^2}}$