 Solution

ID: past-exam-of-the-physics-2-paper-of-the-university-of-oxford/2022/5/ii/solution

Using

\nabla \times E = - \partial_{t} B

directly with the specified plane wave gives

- ik \hat{x} \times E_{0} = - iω B_{0}, B_{0} = \frac{E _{0}}{c} \hat{z} .

The electric field, magnetic flux density and propagation direction form a right-handed triad, and for a nonzero wave amplitude

\frac{∣ E _{0} ∣}{∣ B _{0} ∣} = c .

 New to topics? Read the docs here!