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## Homework Equations

XL = ωL

XC = 1/ωC

Z= sqrt(R^2+(XL-XC)^2)

∅ = tan^-1(XL-XC/R)

## The Attempt at a Solution

A) a)

Irms = Vrms/R = 100 V/400 Ω = .25 A

b) 1) V= Vrms =100 V

2) V = IrmsXL = IrmsωL = (.25)(1000)(.9) = 225 V

3) V= IrmsXC = Irms/ωC = (.25)/((1000)(2E-6)) = 125 V

4) this part I am not sure how to do.

5) V = IrmsZ = Irmssqrt(R^2+(XL-XC)^2) = (.25)sqrt(400^2 + (900 - 500)^2) = 141 V

c) ∅=tan^-1(XL-XC/R) = tan^-1(400/400) = 45°

it is positive so voltage leads

B) a) ω = 1/sqrt(LC) = 1/sqrt(.9(2E-6)) = 745 rad/sec

b) 1) still 100 V

2) V = IrmsXL = IrmsωL = (.25)(745)(.9) = 168 V

3) V = IrmsXC = Irms/ωC = (.25)/((745)(2E-6)) = 168 V

4) ???

5) V = IrmsZ = IrmsR = .25(400) = 100 V

I am not entirely confident I did all of these right. feedback would be greatly appreciated