A stationary particle of charge q = 2.8 times 10^8 C is placed in a laser beam (

Question

A stationary particle of charge q = 2.8 times 10^8 C is placed in a laser beam (an electromagnetic wave) whose intensity is 2.8 times 10^3 W/m^2. Determine the maximum magnitude of the (a) electric and (b) magnetic forces exerted on the charge. If the charge is moving at a speed of 3.7 times 10^4 m/s perpendicular to the magnetic field of the electromagnetic wave, find the maximum magnitudes of the (c) electric and (d) magnetic forces exerted on the particle. F = ______ F = _______ F = ________ F = _____

Explanation / Answer

q = 2.8 x 10-8 C
I (intensity) = 2.8 x 103 W/m2

I = E2/2cµ0

E2= (2*c*µ0* I)
E2= (2* 3.0 x 108*4*3.14 x 10-7* 2.8 x 103)

E = 1452.98

a)

F = Eq

F = 4.068 x 10-5 N

b) 0 (because the charge is stationary)

c)

F = Eq (same as a)
F = 4.068 x 10-5 N

d)

F= Bvq

Where B= E/c

F = (1452.98 *3.7 x 10-4*2.8 x 10-8) / 3 x 108

F = 5.017 x 10-17 N

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