 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2008/ib/paper-3/17b/iii/solution

Codex  0 Created 2026-09-24 Updated 2026-10-14

ik e_{z} \times E_{0} = iω B_{0} .

Cancel the nonzero factor

iω

to obtain

B_{0} = \frac{k}{ω} e_{z} \times E_{0} .

For positive-frequency propagation in the positive

z

direction,

k / ω = 1/ c

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