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AP Physics C: E&M
12.4 Ampère’s Law
12.2 Magnetism and Moving Charges
AdvancedMCQMathematical21.5k
Cross section of a long cylindrical conductor of radius \(R\).
Cross section of a long cylindrical conductor of radius \(R\).
A long, solid cylindrical conductor of radius \(R\) carries a uniform current \(I\) distributed evenly over its cross section. A particle of mass \(m\) and positive charge \(q\) moves parallel to the central axis of the cylinder with constant speed \(v_0\). The particle is evaluated at two locations: point 1 at a radial distance \(r_1 = \dfrac{R}{2}\) inside the conductor, and point 2 at a radial distance \(r_2 = 2R\) outside the conductor. What is the ratio of the magnitude of the spatial rate of change of the particle's acceleration with respect to radial position at point 1 to that at point 2, \(\dfrac{|da/dr|_{r_1}}{|da/dr|_{r_2}}\)?

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