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AP Physics 2
12.3 Magnetism and Current-Carrying Wires
IntermediateMCQProportional Analysis15.9k
A schematic diagram showing a flat, circular conducting loop viewed at an angle. The circular loop is drawn as an ellipse in a horizontal plane with a clean solid line. A dashed straight line segment extends from the geometric center of the ellipse to the wire edge, labeled with the variable R in LaTeX math formatting. An arrow along the circular path indicates the direction of conventional current around the loop, labeled with the variable I. A solid dot marks the exact center point of the loop. No magnetic field vectors, coordinate axes, construction lines, or extraneous text appear in the diagram.
Circular loop carrying current I with radius R.
A flat circular wire loop of radius \(R\) carries a steady current \(I\), producing a magnetic field of magnitude \(B_0\) at the center of the loop. The loop is modified such that its radius is reduced to \(\dfrac{R}{2}\) and the current flowing through it is increased to \(3I\). Which of the following expresses the magnitude of the new magnetic field at the center of the loop in terms of \(B_0\)?

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