Please help with a, c, and d! A stationary particle of charge q = 2.2 times 10^-

Question

Please help with a, c, and d!

A stationary particle of charge q = 2.2 times 10^-8 C is placed in a laser beam (an electromagnetic wave) whose intensity is 2.3 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. (a) F = (b) F = (c) F = (d) =

Explanation / Answer

part A:

Use Intensity I = Power/area = 0.5 eo E^2

where E is Correspoding electric field

eo is permittivity constant

so

2.3*10^3 = 0.5* 8.85 *10^-12 * E^2

E = 2.27 *10^7 N/C

Electric force F = E q

where q is charge

so

F = 2.2*10^-8 * 2.27 *10^7

F = 0.5 N

------------------------

part B:

magnetif force F = q v B

F = 0 as charge is at rest.

part C:

when charge is in motion.

Electric force is same as that of part A

as F = E q doesnot depend of velocity.

part D:

magnetic force F = q v B

E = Bc

B = E/c

F = 2.2 *10^-8 * 3.7 *10^4 * (2.27 *10^7)/(3*10^8)

F = magnetic force = 6.15 *10^-5 N

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