QuestionJuly 27, 2025

What is the electromagnetic frequency for the following variables? 5 T, 75 m 8m/s 0.5V 1.2V 15V 30V

What is the electromagnetic frequency for the following variables? 5 T, 75 m 8m/s 0.5V 1.2V 15V 30V
What is the electromagnetic frequency for the following variables?
5 T, 75 m 8m/s
0.5V
1.2V
15V
30V

Solution
4.3(293 votes)

Answer

The electromagnetic frequency is approximately 8.49 \, Hz. Explanation 1. Identify the relevant formula Use the formula for electromagnetic frequency in a magnetic field: f = \frac{vB}{2\pi r}, where v is velocity, B is magnetic field strength, and r is radius. 2. Calculate the frequency Given B = 5 \, T, v = 8 \, m/s, and r = 0.75 \, m, substitute into the formula: f = \frac{8 \times 5}{2\pi \times 0.75}. Simplify: f = \frac{40}{1.5\pi} \approx \frac{40}{4.71} \approx 8.49 \, Hz.

Explanation

1. Identify the relevant formula<br /> Use the formula for electromagnetic frequency in a magnetic field: $f = \frac{vB}{2\pi r}$, where $v$ is velocity, $B$ is magnetic field strength, and $r$ is radius.<br />2. Calculate the frequency<br /> Given $B = 5 \, T$, $v = 8 \, m/s$, and $r = 0.75 \, m$, substitute into the formula: $f = \frac{8 \times 5}{2\pi \times 0.75}$.<br /> Simplify: $f = \frac{40}{1.5\pi} \approx \frac{40}{4.71} \approx 8.49 \, Hz$.
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