Question B.3: Compute the curl of H = xi+ yj + zk , or H(r) = r.
Compute the curl of \underline{H} = x \hat{i}+ y \hat{j} + z \hat{k} ,\textrm{ or } \underline{H} (\underline{r}) = \underline{r} .
\nabla \times \underline{H}= \left | \begin{matrix} \hat{i} & \hat{j} & \hat{k} \\ \frac{∂}{∂x} & \frac{∂}{∂y} & \frac{∂}{∂z} \\ x & y & z \end{matrix} \right | = \underline{0} .
This, as you’ve probably guessed, is the vector field on the far right in Figure B.2.
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