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phase difference question

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nabliat6

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https://i49.tinypic.com/ejyka9.jpg

i know that there is a phase difference between the current and its voltage for each
component
but here its between the voltage of the source and the impidance of each components

how did they get the angle in each equation?

in each equation we have Vm divided by some number
and the resolt is Vm and angle

how they get the coefficient of Vm
?
 
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