Question asked by Filo student

9.2. A constant direct current of uniform density $\overrightarrow{\mathrm{j}}$ is flowing in an infinitely long cylindrical conductor. The conductor contains an infinitely long cylindrical cavity whose axis is parallel to that of the conductor and is at a distance $\vec{\ell }$ from it. What will be the magnetic induction $\overrightarrow{\mathrm{B}}$ at a point inside the cavity at a distance $\vec{r}$ from the centre of cavity?

1. $\frac{{\mu }_0(\vec{j}\times \vec{r})}{2}$
2. $\frac{{\mu }_0(\overrightarrow{\mathrm{j}}\times \vec{\ell })}{2}$
3. $\frac{{\mu }_0(\vec{j}\times \vec{\ell })+{\mu }_0(\vec{j}\times \vec{r})}{2}$
4. $\frac{{\mu }_0(\vec{j}\times \vec{\ell })-{\mu }_0(\vec{j}\times \vec{r})}{2}$

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