- #1
toothpaste666
- 516
- 20
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