Chapter 35, Problem 32P

GO In the double-slit experiment of Fig. 35-10. ihe electric fields of the waves arriving at point P are given by

E₁ = (2.00 μV/m) sin[(1.26 X 10¹⁵)t]

E₂ = (2.00 μV/m) sin[(1.26 X 10¹⁵)t + 39, 6 rad],

where time t is in seconds, (a) What is the amplitude of the resultant electric field at point P? (b) What is the ratio of the intensity I_P at point P to the intensity I_cen at the center of the interference pattern? (c) Describe where point P is in the interference pattern by giving the maximum or minimum on which it lies, or the maximum and minimum between which it lies. In a phasor diagram of the electric fields, (d) at what rate would the phasors rotate around the origin and (e) what is the angle between the phasors?