Flux through the cylinder,
φ = qenc/ε0 = λL/ε0
The electric field due to an infinite line of charge is perpendicular to the line and has magnitude E= λ/2πε(0). Consider an imaginary cylinder with a radius of r = 0.145 m and a length of l = 0.405 m that has an infinite line of positive charge running along its axis. The charge per unit length on the line is λ= 4.00 μC/m.
1. What is the electric flux through the cylinder due to this infinite line of charge? ( φ= ? N•m2/C)
2. What is the flux through the cylinder if its radius is increased to r = 0.585 m ? ( φ= ? N•m2/C)
3. What is the flux through the cylinder if its length is increased to l = 0.800 m ? ( φ= ? N•m2/C)
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