A long, thin steel wire is cut in half, and each half is connected to a different terminal of a light bulb. An
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a. In what direction is the wave propagating? Explain your reasoning.
The direction of the propagation of the wave.
Answer to Problem 1aTH
The direction of the propagation of the wave is along positive x axis.
Explanation of Solution
Introduction:
An electromagnetic wave is shown graphically as below:
Figure 1: An electromagnetic wave
The given electric field is in the form of sinusoidal wave form is:
According to the above equation, the direction of oscillating electrical field is along y and the direction of the wave propagation is along x direction. The corresponding magnetic field is given as below:
The magnetic field (black dotted sine wave) and electric field (red dotted sine wave) are shown in Figure 1.
The direction of the electromagnetic wave can be determined by the argument of the function, here is the Sin function which is
Derivative of this equation 1
The speed
Conclusion:
The direction of the propagation of the wave is along positive x axis.
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