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Standard XIII

Physics

Towards Biot-Savart Law

A solid cylin...

Question

A solid cylinder of radius R carries a current such that the current density varies as $j = j_{0} (1 - \frac{r}{R})$ . Find the B - field at $r = \frac{R}{2}$ from the axis.

μ_{0} j_{0} R

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\frac{3 μ_{0} j_{0} R}{2}

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\frac{μ_{0} j_{0} R}{6}

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\frac{2 μ_{0} j_{0} R}{3}

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Solution

The correct option is C $\frac{μ_{0} j_{0} R}{6}$

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Similar questions

Q. A solid cylinder of radius R carries a current such that the current density varies as

j = j_{0} (1 - \frac{r}{R})

. Find the B - field at

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Q. The current density across a cylindrical conductor of radius

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A solid cylinder of radius R carries a current such that the current density varies as j=j0(1−rR). Find the B - field at r=R2 from the axis.

The correct option is C μ0j0R6

A solid cylinder of radius R carries a current such that the current density varies as $j = j_{0} (1 - \frac{r}{R})$ . Find the B - field at $r = \frac{R}{2}$ from the axis.

The correct option is C $\frac{μ_{0} j_{0} R}{6}$