Engineering V max of a RLC Circuit. Where did I go wrong?

[mkematt96]

Homework Statement

Homework Equations

Xc= 1/(wc) Xl= wl . See picture for remaining relevant equations.

The Attempt at a Solution

 

[gneill]

The denominator in each of your voltage calculations should represent the magnitude of the total impedance of the series circuit. You've not combined the reactances to find the total reactance, but just used either X_C or X_L individually, which doesn't give you the total impedance when they're summed in quadrature (square root of sum of squares).

 

[mkematt96]

The denominator in each of your voltage calculations should represent the magnitude of the total impedance of the series circuit. You've not combined the reactances to find the total reactance, but just used either X_C or X_L individually, which doesn't give you the total impedance when they're summed in quadrature (square root of sum of squares).

So find impedence, then divide emax by it to get I max. Then multiply that by R, Xl, and Xc to find my V max for each component ?

 

[gneill]

So find impedence, then divide emax by it to get I max. Then multiply that by R, Xl, and Xc to find my V max for each component ?

That's the idea, yes.