(a) angular frequency w=2*pi*f=314.16 rad/secreal power I^2*R=V^2/(R^2+(w*L)^2)*R=1000Wpower factor R/√(R^2+(w*L)^2)=0.75R=29.75Ohm, L=83.5mH.I get a different R value than the original answer (26.24Ohm). But the L value is the same.(b) because V and I are in phase, 1/(R+jwL)+1/(1/jwC) must be a real ...