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The vector current density is given as $\overline{J}=\frac{4}{r^{2}}\cos\theta\hat{a_{r}}+20e^{-2r}\sin\theta\hat{a_{\theta}}-r\sin\theta\cos\phi\hat{a_{\theta}}\space A/m^{2}$

written 6.3 years ago by | modified 2.2 years ago by |

(a) Find $\overline{J}$ at r=3, $\theta=0$, $\phi=\pi$

(b) Find the total current passing through the spherical cap r=3,0 <$\theta$ < $20 ^{\circ}$, 0 <$\phi$ < $2\pi$ in the $\hat{a_{r}}$ direction.

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