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An oscillating current is producing an electromagnetic wave. The region shown enclosed by a dotted box (not to scale) is far from the current. In it, the field produced is well approximated by a plane wave traveling in the z direction and having its E-field pointed along the x-direction (using the coordinate system shown).

- I perform a series of measurements of the electric field at the origin and obtain a result which points in the x-direction and is well represented by the function
*E*(*t*) =*E*_{0}cos(w*t*).What result would I find if instead of at the origin, I repeated my experiment at the point with coordinates {0,0,

*z*}? Explain how you know. - What result would I get if I made my measurements at the point in the box
with coordinates {2, 3,
*z*}cm. (The point is still well within the dotted box.) - For what values of
*z*would I find exactly the same result as I found at the origin?

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Page last modified March 31, 2005: OP04