A square conducting loop that measures a = 0.250 m on each side, is placed in a magnetic field. The magnetic field is directed into the page and is perpendicular to the loop. The magnetic field has a magnitude B=2.60 T. The loop is pulled out of the magnetic field region at velocity v=1.60 m/s in the direction shown.

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Chapter1: Units, Trigonometry. And Vectors
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d. Calculate the induced emf. Show your work. Report to exactly 3 significant figures and include appropriate units.
Transcribed Image Text:d. Calculate the induced emf. Show your work. Report to exactly 3 significant figures and include appropriate units.
A square conducting loop that measures \( a = 0.250 \, \text{m} \) on each side is placed in a magnetic field. The magnetic field is directed into the page and is perpendicular to the loop. The magnetic field has a magnitude \( B = 2.60 \, \text{T} \). The loop is pulled out of the magnetic field region at a velocity \( v = 1.60 \, \text{m/s} \) in the direction shown.

**Diagram Explanation:**

The diagram shows a grid of circles with Xs inside them, representing the magnetic field directed into the page. The field is uniform, as indicated by the regular pattern of circles.

- The square loop is depicted on the right side of the diagram, outlined with a solid black line.
- An arrow labeled \( v \) points to the right from the square loop, indicating the direction of motion as it is pulled out of the magnetic field.
- The area containing the magnetic field is marked with the letter \( B \).

This setup is often used to study electromagnetic induction and Faraday's law, which explains how a changing magnetic environment can induce an electric current in a conductor.
Transcribed Image Text:A square conducting loop that measures \( a = 0.250 \, \text{m} \) on each side is placed in a magnetic field. The magnetic field is directed into the page and is perpendicular to the loop. The magnetic field has a magnitude \( B = 2.60 \, \text{T} \). The loop is pulled out of the magnetic field region at a velocity \( v = 1.60 \, \text{m/s} \) in the direction shown. **Diagram Explanation:** The diagram shows a grid of circles with Xs inside them, representing the magnetic field directed into the page. The field is uniform, as indicated by the regular pattern of circles. - The square loop is depicted on the right side of the diagram, outlined with a solid black line. - An arrow labeled \( v \) points to the right from the square loop, indicating the direction of motion as it is pulled out of the magnetic field. - The area containing the magnetic field is marked with the letter \( B \). This setup is often used to study electromagnetic induction and Faraday's law, which explains how a changing magnetic environment can induce an electric current in a conductor.
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