Back to 16.2 Plane Electromagnetic Waves

16.2 Exercise 12

Avg difficulty 2.5

The electric field of an electromagnetic wave traveling in vacuum is described by the following wave function: E→=(5.00V/m)\overset{\rightarrow}{\mathbf{E}} = \left(5.00 \text{V}/\text{m}\right)
cos[kx−(6.00×109s−1)t+0.40]j^\text{cos} \left[k x - \left(6.00 \times 10^{9} \left( \text{s}\right)^{−1}\right) t + 0.40\right] \hat{\mathbf{j}} where k is the wavenumber in rad/m, x is in m, t is in s.
Find the following quantities:
(a) amplitude
(b) frequency
(c) wavelength
(d) the direction of the travel of the wave
(e) the associated magnetic field wave

OpenStax University Physics Volume 2, 16.2 Plane Electromagnetic Waves, exercise 12

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Adapted from University Physics Volume 2 © 2016 Rice University. Licensed under CC BY 4.0. Source: University Physics Volume 2. Imported at revision db44eb9.