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AP Physics C: E&M
12.2 Magnetism and Moving Charges
IntermediateMCQMathematical22.4k
A straight wire segment carrying current in a non-uniform magnetic field.
A straight wire segment carrying current in a non-uniform magnetic field.
A straight wire segment of length \(L\) lies in the \(xy\)-plane with one end anchored at the origin. The wire carries a constant electric current \(I\) and extends into the first quadrant, making an angle \(\theta\) with the positive \(x\)-axis. A non-uniform magnetic field pointing in the \(+z\)-direction (out of the page) is present in the region, given by \(\vec{B}(x) = B_0 \left(\dfrac{x}{L}\right) \hat{k}\), where \(B_0\) is a positive constant. What is the magnitude of the net magnetic force acting on the wire segment?

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