1. a: An electromagnetic wave travles in the y direction. At a particular point

Question

1.

a: An electromagnetic wave travles in the y direction. At a particular point (Q) in space, E=500xN/C. The maximum magnitude of E is also 500N/C. Determine the magnitude and direction of the magnetic field at point Q.

b: The frequency of the wave is 10^10 Hz. What is the shrotest distance from Q for which E=0 at that same instant?

c: A proton has v=3x10^7 ym/s. At a particular instant, it is at a location in space where E and B are both at their maximum values. Determine the magnitude and direction of the net force on the proton on that instant. Note that there will be forces due to E and B (electric field and magnetic field).

Explanation / Answer

a)

Magnitude of magnetic field is

B = E / c = ( 500 N /C ) / ( 3*10^8 m/s )

=1.66*10^-6 T

b)

wavelength of the wave

lamda = c / f = 3*10^8 m/s / ( 10^10 Hz ) = 0.03 m

c)

For

F = (500 N/C ) ( 1.6*10^-19 C ) = 8*10^-17 N

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