This is an old revision of the document!

In these notes, we will examine a few examples of changing magnetic fluxes and associated induced voltages. First let's consider when $\Phi_B$ rises and falls linearly with the same magnitude of slope:

From t = 0 to t = 5, $\Phi_B$ has a positive, constant slope, so Faraday's law tells us that $V_{ind}$ will be constant and negative. From t = 5 to t = 10, $\Phi_B$ has a positive, constant slope, so Faraday's law tells us that $V_{ind}$ will be constant and positive. $$ \Phi_B(t)= \begin{cases} 2t & \text{if } x \in \mathbb{Q}\\ -2t & \text{if } x \in \mathbb{R}\setminus\mathbb{Q} \end{cases} $$

More Words

Some final words