A voltage `V_(AB)=V_(0) cos omega t`, where` V_(0)` is a real amplitude, is applied between the points A and B in the network shown in figure. Given that
`C=(1)/(omega R sqrt(3))`
and
`L=(Rsqrt(3))/(omega)`
(a) Calculate the total impedance between A and B.
(b) Verify that voltages of equal amplitude are developed between the point X and the points A, Y and Z.
(c) Determine the phases of these three voltages relative to `V_(AB)`.

Explanation

(i) 3R
(iii) (a) `V_("AX")` is in same phase as `V_("AB")`
(b) Phase angle between `V_("YX") and V_(AB)=-120^(@)`
(c) Phase angle between `V_(ZX) and V_(AB)=120^(@)`