1 CHAPTER 2: GAUSS’S LAW 2.1. A sphere of radius ? = 1.00m surrounds a particle with charge ? = 50.0 ?Clocated at its center as shown in Figure P2.1. Find the electric flux through a circular cap of half-angle 𝜃 = 45.0o.Figure P2.1 2.2.An infinitely long line charge having a uniform charge per unit length ?lies a distance from point O as shown in Figure P2.2. Determine the total electric flux through the surface of a sphere of radius ?centered at O resulting from this line charge. Consider both cases, where (a) ? < 𝑑and (b) ? > 𝑑Figure P2.2 Ans.: a) 𝚽𝑬= ?; b) 𝚽𝑬= ?𝛌√??− 𝒅?/𝝐2.3.Consider a long, cylindrical charge distribution of radius ?with a uniform charge density 𝜌. Find the electric field at distance 𝑟from the axis, where 𝑟 < ? 𝑑 . ? . ?
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- Fall '19