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## Homework Statement

A resistance R and a 1.4 H inductance are in series across a 60 Hz AC voltage. The voltage across the resistor is 30V and the voltage across the inductor is 40V.

(a). What is the resistance R ?

(b). What is the AC input voltage ?

## Homework Equations

[tex]\xi[/tex]=I*Z

## The Attempt at a Solution

(a).So far I have I=[tex]\xi[/tex]/ [tex]\sqrt{}R^2+X^2[/tex]

How do I proceed from here ? Do I use I= [tex]\xi[/tex]/ [tex]\omega[/tex]L to find the current then substitute back to the first equation to solve for R ?

(b). I calculated V=[tex]\sqrt{}40^2+30^2[/tex]=50 V. Is this correct ?