Y1 = 1/(6 + j8) = (6 - j8)/(62 + 82) + 0.06 - j0.08 Siemens,
Y = 1/(8 - j6) = (8 + j6)/100 = 0.08 + j0.06 Siemens
(a) Combined admittance is
Y = Y1 + Y2 = 0.14 −j0.02 = 0.1414 ∠− 88º′ Siemens
Conductance, G = 0.14 Siemens ; Susceptance, B = −0.02 Siemens (inductive)
(b) Let V = 200 ∠ 0º ; I = VY = 200 × 0.1414 ∠−8º8′ V = 28.3 ∠−8º8′
p.f. = cos 8º8′ = 0.99 (lag)