Question

An inductor `(L = (1)/(100 pi) H)`, a capacitor `(C = (1)/(500 pi) F)` and a resistance `(3 Omega)` is connected in series with an AC voltage source as shown in the figure. The voltage of the AC source is given as `V = 10 cos(100 pi t)` volt. What will be the potential difference between A and B ?

A. `8 cos (100 pit -127^(@))` volt
B. `8 cos (100 pit -53^(@))` volt
C. `8 cos (100 pit -37^(@))` volt
D. `8 cos (100 pit +37^(@))` volt

Answer 1

Correct Answer - C
`z=sqrt(3^(2)+(5-1)^(2))=5 Omega`
`i=2 cos(100pit+53^(@))`
`v_(AB)=8 cos (100pit+53^(@)-90^(@))` volt
`v_(AB)=8 cos (100pit-37^(@))` volt