The electron beam in a certain cathode ray tube possesses cylindrical symmetry, and the charge density is
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The electron beam in a certain cathode ray tube possesses cylindrical symmetry, and the charge density is represented by ρv = −0.1/(ρ2 + 10−8) pC/m3 for 0 < ρ < 3 × 10−4 m, and ρv = 0 for ρ > 3 × 10−4 m.
(a) Find the total charge per meter along the length of the beam;
(b) If the electron velocity is 5 × 107 m/s, and with one ampere defined as 1C/s, find the beam current.
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