J & K CET Engineering J and K - CET Engineering Solved Paper-2008

  • question_answer
    The direction of induced magnetic field \[d\,\,\vec{B}\] due to current element i d \[\vec{L},\] at a point of distance r from it, when a current i passes through a long conductor is in the direction

    A)  of position vector \[\vec{r}\] of the point

    B)  of current element \[d\,\vec{L}\]

    C)  perpendicular to both \[d\,\vec{L}\] and \[\vec{r}\]

    D)  perpendicular to \[\vec{L}\] only

    Correct Answer: C

    Solution :

    Biot- Savart law states \[d\,\vec{B}=\frac{{{\mu }_{0}}}{4\pi }\frac{id\,\vec{L}\times \vec{r}}{{{r}^{3}}}\] \[\therefore \] Direction of \[d\,\vec{B}\] is perpendicular to both \[d\,\vec{L}\] and \[\vec{r}\].


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