superangel94
11.07.2019 •
Physics
An electric field is e = 200 n/c i for x > 0 and e = -200 n/c i for x < 0. a cylinder of length 20 cm and radius 3 cm has its center at the origin and its axis along the x axis such that one end is at x = +10 cm and the other is at x = -10 cm. what is the net charge inside the cylinder?
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Ответ:
The net charge inside the cylinder is
To solve this problem, we have to determine the electric flux
Flux through the Curved Surfaceφc = EAcosθ
where θ is the angle between area vector and electric field.
θ = 90°, cos90° = 0
φc = EA * 0 = 0
The flux through the curved surface = 0
Consider The Circular Cross Sectionwhen x > 0
φ1 = EA cos0 = φ1 = EA *1 = EA
Consider The Circular Cross Sectionwhen x < 0
φ = E.A = EA*cos0
φ2 = EA
Net Flux of charge = φ(net) = φ(c) + φ1 + φ2 = 0 + EA + EA
φ(net) = 2EA
From Gauss Law
given that;
ε = 8.85*10^-12 c^2/Nm^2
A = πr^2
r = 0.09m
Substitute the value into φ(net)
From the calculations above, the net charge inside the cylinder is 1.778*10^-11C
learn more about electric flux here;
Ответ: