In the double-sle experiment of the figure, the electric fields of the waves ami

Question

In the double-sle experiment of the figure, the electric fields of the waves amiving at point Pare givan by Ei-(2.94 w/m) sir(( 1.54 x 1015 whers time t is in seconds. () What is the amplitude of the resultant electric fiold at point P? (b) what is the ratio of the intenaity Ip at point P to the intenality Icen at the center of the intarferance pattern? in a phasor diagram of the lectric fields, (c) at what rate would the phasors rotate around the origin and (d) what is the angle bebreen the phasors? (a) Number (b) Number (c) Number (d) sumber Unts w'm Units rad/ Units Thisanwer has ne units ?

Explanation / Answer

sina + sin(a+b) = 2cos(b/2) sin(a+b/2)

E1 + E2 = 2E_o cos(phi/2) sin(2t+phi/2)

E = 2E_o cos(phi/2)

Eo = 2.94 uV/m

phi 39.8 rad

E = 2.92 uV/m

part b )

I = 4I_o cos^2(phi/2) = 0.988Io

Icenter = 4Iocos^2(0) = 4Io

I/Icenter = 0.247

part c)

rate = w = 1.54 x 10^15 rad/s

part d )

angle = 39.8 rad = 2280.37 degree = 120.37 degree

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