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AP Physics C: E&M
12.2 Magnetism and Moving Charges
IntermediateMCQMathematicalConceptual17.8k
Semicircular wire carrying current \(I\) in a uniform magnetic field \(\vec{B}\).
Semicircular wire carrying current \(I\) in a uniform magnetic field \(\vec{B}\).
A thin, rigid wire bent into a semicircle of radius \(R\) lies in the \(xy\)-plane with its endpoints on the \(x\)-axis at \((R, 0)\) and \((-R, 0)\). The wire carries a steady current \(I\) directed counterclockwise along the arc for \(y \ge 0\). A uniform magnetic field \(\vec{B} = B_0\,\hat{k}\) is directed perpendicular to the \(xy\)-plane. In terms of \(I\), \(R\), and \(B_0\), which of the following expressions correctly gives the net magnetic force \(\vec{F}\) exerted on the semicircular wire?

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