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AP Physics C: E&M
8.4 Electric Fields of Charge Distributions
AdvancedMCQMathematical22.6k
A flat shaded rectangular strip representing a ribbon in the xy-plane, extending vertically along the y-axis and spanning horizontally from x = 0 to x = w along the x-axis. The ribbon is labeled with surface charge density \sigma. A point P is marked on the negative x-axis at distance d from the edge x = 0. A vertical strip element of width dx is highlighted inside the ribbon at horizontal distance x from the origin. No other labels, lines, text, or axes appear.
An infinite ribbon of width \(w\) with uniform surface charge density \(\sigma\) and coplanar point \(P\).
An infinitely long, flat insulating ribbon of width \(w\) lies in the \(xy\)-plane, extending parallel to the \(y\)-axis from \(x = 0\) to \(x = w\). The ribbon carries a uniform surface charge density \(\sigma\). A point \(P\) lies in the same plane on the \(x\)-axis at a distance \(d\) from the nearest edge of the ribbon, at coordinates \((-d, 0, 0)\). Which of the following expressions represents the magnitude of the electric field at point \(P\)?

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