Question

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Constants Learning Goal: Part A To practice using the concept of Gauss' Law What is the electric flux through the cylinder due to this infinite line of charge? Consider an imaginary cylinder with a radius of r = 0.105 m and a length of / 0.450 m that has an infinite line of positive charge running along its axis. The charge per unit length on the line is A = 4.00 C/m View Available Hint(s) να ΑΣφ ? N m2/C Ф- Submit Part B What is the flux through the cylinder if its radius is increased to r =0.600 m? Bνα ΑΣφ ? N m2/C = Request Answer Submit Part C What is the flux through the cylinder if its length is increased to l -0.840 m? 1ΥΠΙ ΑΣφ ?

Answer 1

radius of cylinder = 0.105m. length of cylinder t= 0.45m. charge permite length = 4:004cm. The total charge inside the imaginary surface is q=dx L = 4x10bxo.us=1.8 MC I chue te . af The electric flux thorough the cylindere this infint line charge iso. 1.84000 8 185 x 10 12 * d = 0-2033x10' Nm?/] b] radius of Cylinder intoreased to or=0.6m. Now electric flue through the cylinder cogn't depend on the radhes of cylinder Hence the date electone flux will be the remains same.

line 16 = 0.2033 8106 N-m²lc. Partco to of the length of cylinder incercased to. d=o.sum Now the charge inside the cylinder will. change, The new charge is: q=dxl = 4810 6 x 0.84 q = 3.368100 C. o The electoric flun through the cylinder clue to. this infinite line of charge is: & - 3.361100 8.8571012 d = 0.37968100 N-m²/c.