A constant direct current of uniform density \( \vec{j} \) is flowing in an infinitely long cyli....

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A constant direct current of uniform density \( \vec{j} \) is
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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 from \( \vec{\ell} \) it. What will be the magnetic induction \( \vec{B} \) 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) \( \frac{\mu_{0}(\vec{j} \times \vec{\ell})}{2} \)
(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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