(Solved): II. For a localized volume current density, the magnetic vector potential is given by \[ \vec{A}(\ ...

II. For a localized volume current density, the magnetic vector potential is given by \[ \vec{A}(\vec{x})=\frac{\mu_{0}}{4 \pi} \int d^{3} x^{\prime} \frac{j\left(\overrightarrow{x^{\prime}}\right)}{|\vec{x}-\bar{x}| \mid} \quad \leftarrow \text { daw } \] a) Find the divergence of this potential. (Hint: Choose a surface sufficiently larhe to enclose the current distribution). b) Determine the resulting magnetic field, and the corresponding field divergence. Is it what you expected?