The Electric Fields Arriving at a Point P from Three

Multiple Choice

The electric fields arriving at a point P from three coherent sources are described by E₁ = E₀ sin ωt, E₂ = E₀ sin (ωt + π/4) and E₃ = E₀ sin (ωt + π/2) . Assume the resultant field is represented by E_p = E_R sin (ωt + α) . The amplitude of the resultant wave at P is

A) E₀.
B) 1.5E₀.
C) 1.7E₀.
D) 2.4E₀.
E) 2.9E₀.