As in the figure, the long cylindrical slice with inner radius $?$ and outer radius $2 a$ has a current density given by $J = J_{0} \frac{r}{a}$ . Where $r$ is the radial distance from the axis of the cylinder. If the current flowing in the $z$ direction is $I = 6 (A)$ and $a = 3 (m)$ , what is the constant $J_{0}$ in $\frac{A}{m ^{2}} ? (? = 3)$ A) $\frac{1}{21}$ B) $\frac{1}{1}$ C) $\frac{1}{7}$ D) $\frac{1}{21}$ E) $\frac{3}{7}$

Question

As in the figure, the long cylindrical slice with inner radius

?

and outer radius

2 a

has a current density given by

J = J_{0} \frac{r}{a}

. Where

r

is the radial distance from the axis of the cylinder. If the current flowing in the

z

direction is

I = 6 (A)

and

a = 3 (m)

, what is the constant

J_{0}

in

\frac{A}{m ^{2}} ? (? = 3)

A)

\frac{1}{21}

B)

\frac{1}{1}

C)

\frac{1}{7}

D)

\frac{1}{21}

E)

\frac{3}{7}

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