Question

The drawing shows a copper wire (negligible resistance) bent into a circular shape with a radius of $0.50 \mathrm{~m}$. The radial section $B C$ is fixed in place, while the copper bar $A C$ sweeps around at an angular speed of $15 \mathrm{rad} / \mathrm{s}$. The bar makes. electrical contact with the wire at all times. The wire and the bar have negligible resistance. A uniform magnetic field exists everywhere, is perpendicular to the plane of the circle, and has a magnitude of $3.8 \times 10^{-3} \mathrm{~T}$. Find the magnitude of the current induced in the loop $A B C$.

          The drawing shows a copper wire (negligible resistance) bent into a circular shape with a radius of $0.50 \mathrm{~m}$. The radial section $B C$ is fixed in place, while the copper bar $A C$ sweeps around at an angular speed of $15 \mathrm{rad} / \mathrm{s}$. The bar makes. electrical contact with the wire at all times. The wire and the bar have negligible resistance. A uniform magnetic field exists everywhere, is perpendicular to the plane of the circle, and has a magnitude of $3.8 \times 10^{-3} \mathrm{~T}$. Find the magnitude of the current induced in the loop $A B C$.

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Added by Teresa F.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Sam Stansfield

06/11/2022

Step 1

The induced EMF is given by the derivative of the magnetic flux with respect to time. The magnetic flux through the loop is given by the product of the magnetic field strength (B) and the area of the loop (πr^2). Show more…

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The drawing shows a copper wire (negligible resistance) bent into a circular shape with a radius of $0.50 \mathrm{~m}$. The radial section $B C$ is fixed in place, while the copper bar $A C$ sweeps around at an angular speed of $15 \mathrm{rad} / \mathrm{s}$. The bar makes. electrical contact with the wire at all times. The wire and the bar have negligible resistance. A uniform magnetic field exists everywhere, is perpendicular to the plane of the circle, and has a magnitude of $3.8 \times 10^{-3} \mathrm{~T}$. Find the magnitude of the current induced in the loop $A B C$.

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