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An electric field is uniform and in the positive x direction for positive x and uniform with the same magnitude but in the negative x direction for negative x. It is given that `E=200 hat(i) N//C` for `x gt 0` and `E=-200 hat(i) N//C` for `x lt 0`. A right circular cylinder of length 20 cm and radius 5 cm has its centre at the origin and its axis along the x-axis so that one face is at `x=+10` cm and the other is at `x=-10` cm What is the net outward flux through each flat face? |
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Answer» We can see from the figure that on the left face E and `Delta S` are parallel. Therefore, the outward flux is `phi_(L)=E. Delta S=-200 hat(i). Delta S` `=+200 Delta S`, since `hat(i).Delta S=-Delta S` `=+200xx pi (0.05)^(2)=+1.57 Nm^(2) C^(-1)` On the right face, E and `Delta S` are parallel and therefore `phi_(R)=E. Delta S=+1.57 Nm^(2) C^(-1)`. |
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