In a region of space, an electromagnetic wave moves to the right, as indicated in the above diagram. At one moment, the magnitude of the electric field at the indicated point is |𝐸→|=2991 N/C, and its direction is out of the page. In the following questions, use 𝑐=3×108 𝑚/𝑠.A. At this point and time, what is the magnitude of the associated magnetic field? 0 𝑇
Question
In a region of space, an electromagnetic wave moves to the right, as indicated in the above diagram. At one moment, the magnitude of the electric field at the indicated point is |𝐸→|=2991 N/C, and its direction is out of the page. In the following questions, use 𝑐=3×108 𝑚/𝑠.A. At this point and time, what is the magnitude of the associated magnetic field? 0 𝑇
Solution
The magnitude of the associated magnetic field can be found using the formula for the speed of light, which is the ratio of the magnitudes of the electric field to the magnetic field in an electromagnetic wave. The formula is:
c = E/B
where: c = speed of light = 3×10^8 m/s E = electric field = 2991 N/C B = magnetic field
We can rearrange the formula to solve for B:
B = E/c
Substituting the given values:
B = 2991 N/C / 3×10^8 m/s = 9.97×10^-6 T
So, the magnitude of the associated magnetic field at this point and time is 9.97×10^-6 T.
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