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AP Physics C: E&M
12.4 Ampère’s Law
BeginnerMCQMathematical17.3k
Cross sections of Wire 1 and Wire 2.
Cross sections of Wire 1 and Wire 2.
Two long, straight cylindrical wires, 1 and 2, each have radius \(R\) and carry the same total current \(I\). Wire 1 has a non-uniform current density given by \(J_1(r) = C r\) for \(r \le R\), where \(C\) is a constant and \(r\) is the radial distance from the central axis. Wire 2 has a uniform current density \(J_2\).

What is the ratio \(B_1 / B_2\) of the magnetic field magnitude \(B_1\) inside Wire 1 at \(r = R/2\) to the magnetic field magnitude \(B_2\) inside Wire 2 at \(r = R/2\)?

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