# 1.LetF⃗=xˆz+yˆx+zˆyandevaluatetheintegral􏰈 F⃗·d⃗lwhereCisthecirclex2+y2=a2in C the z = 0 plane. (Hint: Use Stokes’ theorem.) 2. A cylinder is filled with a uniform volume charge described by 􏰇K, ρ≤a, ρv= 0, ρ>a, where K and a are given constants. In addition, a line charge having uniform density λ0 resides along the axis of the cylinder. What is the value of λ0 if E⃗ vanishes for all ρ > a?

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1.LetF⃗=xˆz+yˆx+zˆyandevaluatetheintegral􏰈 F⃗·d⃗lwhereCisthecirclex2+y2=a2in C
the z = 0 plane. (Hint: Use Stokes’ theorem.)
2. A cylinder is filled with a uniform volume charge described by
􏰇K, ρ≤a, ρv= 0, ρ>a,
where K and a are given constants. In addition, a line charge having uniform density λ0 resides along the axis of the cylinder. What is the value of λ0 if E⃗ vanishes for all ρ > a?

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hwmadeeasy Edited question October 10, 2021
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