Chapter 25, Problem 86GP

Predict/Calculate A light beam traveling in the negative z direction has a magnetic field $\stackrel{\to }{\text{B}}=\left(3.02\times {10}^{-9}T\right)\hat{\text{x}}\text{+}\left(-5.28\times {10}^{-9}T\right)\hat{\text{y}}$ at a given instant of time. The electric field in the beam has a magnitude of 1 82 N/C at the same time. (a) Does the electric field at this time have a z component that is positive, negative, or zero? Explain. (b) Write $\stackrel{\to }{\text{E}}$ in terms of unit vectors.