Here's the prob.
My progress so far is:
i converted V(t) to: v(t) = 120cos(377t -30°) just minues 90° to make it cos
then frequency is
F = 377/ 2∏
F = 60
XL = 2.pi(60)(40mH)
XL = j15.08 or (0+j15.08)
XC = - [1/(2∏(60)(50uF))]
XC = -j53.05 or 0-j53.05
then add XL and R
XLR=20 + j15.08
so this is the part i am confused...
We need to parallel XLR and XC so the equation is this
ZT = (XLR)(XC) / (XLR + XC)
is this correct? or i need to convert it to polar form? but i get infinity at :
Φ = tan^-1 (53.05 / 0 )
How to solve this?
i can solve i(t) by the formula i(t) = V/ZT
but i can't solve ZT.
My progress so far is:
i converted V(t) to: v(t) = 120cos(377t -30°) just minues 90° to make it cos
then frequency is
F = 377/ 2∏
F = 60
XL = 2.pi(60)(40mH)
XL = j15.08 or (0+j15.08)
XC = - [1/(2∏(60)(50uF))]
XC = -j53.05 or 0-j53.05
then add XL and R
XLR=20 + j15.08
so this is the part i am confused...
We need to parallel XLR and XC so the equation is this
ZT = (XLR)(XC) / (XLR + XC)
is this correct? or i need to convert it to polar form? but i get infinity at :
Φ = tan^-1 (53.05 / 0 )
How to solve this?
i can solve i(t) by the formula i(t) = V/ZT
but i can't solve ZT.