If the voltage and current in an AC circuit are given by v = 200 sin(ωt + 30) and i = 10 sin(ωt - 60) then the pf of the circuit is

The correct answer is option 3 ): 0

Concept:

The power triangle is shown below.

P = Active power (or) Real power in W = V_rms I_rms cos ϕ

Q = Reactive power in VAR = V_rms I_rms sin ϕ

S = Apparent power in VA = V_rms I_rms

S = P + j Q

ϕ is the phase difference between the voltage and current

Power factor = 

Calculation:

v = 200 sin(ωt + 30)

 i = 10 sin(ωt - 60) 

ϕ = -60 -30 = 0

ϕ = -90⁰

cos  ϕ = 0