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AP Physics C: E&M
13.1 Magnetic Flux
AdvancedMCQMathematical22.4k
A vertical line representing a long straight wire carries a current labeled I pointing upward. To the right of the wire, a right-triangular loop is drawn in the same plane. The vertical left edge of the triangle has height h and is parallel to the wire, positioned at a horizontal distance a from the wire. The horizontal bottom edge of the triangle has length b and extends from x = a to x = a + b along a horizontal axis perpendicular to the wire. The hypotenuse connects the top vertex (a, h) to the far-right vertex (a + b, 0). Arrowheads indicating horizontal dimensions show distance a from the wire to the vertical edge and distance b across the base. No other labels, lines, text, or axes appear.
A triangular loop in the plane of a long wire carrying current I.
A long, straight wire carrying a steady current \(I\) lies in the same plane as a right-triangular loop. The side of the loop of height \(h\) is parallel to the wire at a distance \(a\) from it. The base of the loop has length \(b\) and extends perpendicularly away from the wire, so that the vertex opposite the vertical side is at a distance \(a + b\) from the wire. Which of the following expressions is equal to the magnetic flux \(\Phi_B\) through the triangular loop?

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