## College Physics (4th Edition)

Published by McGraw-Hill Education

# Chapter 22 - Problems - Page 862: 6

#### Answer

$\Phi = A~B~cos~\theta$, where $\theta$ is the angle between the area of the antenna and the direction of the magnetic field. If the angle $\theta$ is non-zero, the induced emf in the antenna is reduced from its maximum possible value by a factor of $cos~\theta$.

#### Work Step by Step

According to Faraday's law, the induced emf is equal to $-N~\frac{\Delta \Phi}{\Delta t}$, where $\Phi$ is the magnetic flux. Note that $\Phi = A~B~cos~\theta$, where $\theta$ is the angle between the area of the antenna and the direction of the magnetic field. This value will be a maximum when $\theta = 0$. If the angle $\theta$ is non-zero, the induced emf in the antenna is reduced from its maximum possible value by a factor of $cos~\theta$.

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