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The vector current density is given as ¯J=4r2cosθ^ar+20e2rsinθ^aθrsinθcosϕ^aθ A/m2

(a) Find ¯J at r=3, θ=0, ϕ=π

(b) Find the total current passing through the spherical cap r=3,0 <θ < 20, 0 <ϕ < 2π in the ^ar direction.

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