5.3.6 Problems and solutions

The problems of this section use the first Maxwell equation, $\nabla \times E=-\partial B/\partial t$, and Faraday's law in integral form, for a circuit $C$ that may move with velocity $v$ through a field that may vary in time,

where $dl$ and $dS$ are related by the right-hand rule. The first term is the motional emf, the second the transformer emf. The constants are those of this book, ${\epsilon }_0=10^{-9}/(36\pi )=8.842\times 10^{-12}F/m$ and ${\mu }_0=4\pi \times 10^{-7}H/m$.