The square loop, of side 10 cm, at right is located in a 0.05 T uniform magnetic field pointing directly away from you as shown. Over what time interval should the X X X X X X X magnetic field be reduced to zero in order to supply the 6 V needed to light the light bulb? (Recall the definition of magnetic flux.) X X х х X х х

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Chapter1: Units, Trigonometry. And Vectors
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### Problem Statement

The square loop, with sides measuring 10 cm, is located in a 0.05 T uniform magnetic field that points directly away from you, as illustrated by the diagram. Determine over what time interval the magnetic field should be reduced to zero to generate the 6 V needed to light the light bulb. (Recall the definition of magnetic flux.)

### Diagram Description

- The diagram shows a square loop with a side length of 10 cm.
- The loop is placed in a magnetic field, represented by "X" symbols, indicating the field direction is coming out of the page.
- There is a light bulb connected at the top side of the square loop.

### Key Concepts

- **Magnetic Flux (Φ)**: The product of the magnetic field (B) and the area (A) perpendicular to the field through which it passes, i.e., Φ = B * A.
- **Induced EMF and Faraday’s Law**: The induced electromotive force (EMF) in a circuit is equal to the rate of change of magnetic flux through the loop, i.e., EMF = - dΦ/dt.
- **Calculation of Required Time Interval**: Use the known values of magnetic field, area, and desired voltage to calculate the necessary time to reduce the magnetic field for inducing the required EMF.
Transcribed Image Text:### Problem Statement The square loop, with sides measuring 10 cm, is located in a 0.05 T uniform magnetic field that points directly away from you, as illustrated by the diagram. Determine over what time interval the magnetic field should be reduced to zero to generate the 6 V needed to light the light bulb. (Recall the definition of magnetic flux.) ### Diagram Description - The diagram shows a square loop with a side length of 10 cm. - The loop is placed in a magnetic field, represented by "X" symbols, indicating the field direction is coming out of the page. - There is a light bulb connected at the top side of the square loop. ### Key Concepts - **Magnetic Flux (Φ)**: The product of the magnetic field (B) and the area (A) perpendicular to the field through which it passes, i.e., Φ = B * A. - **Induced EMF and Faraday’s Law**: The induced electromotive force (EMF) in a circuit is equal to the rate of change of magnetic flux through the loop, i.e., EMF = - dΦ/dt. - **Calculation of Required Time Interval**: Use the known values of magnetic field, area, and desired voltage to calculate the necessary time to reduce the magnetic field for inducing the required EMF.
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