A generator uses a coil that has 370 turns and a 0.49-T magnetic field. The frequency of this generator is 60.0 Hz, and its emf has an rms value of 120 V. Assuming that each turn of the coil is a square (an approximation), determine the length of the wire from which the coil is made. Öv S Number i N Units

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### Topic: Electromagnetic Induction and Generators

**Current Attempt in Progress**

A generator uses a coil that has 370 turns and a 0.49-T magnetic field. The frequency of this generator is 60.0 Hz, and its emf has an rms value of 120 V. Assuming that each turn of the coil is a square (an approximation), determine the length of the wire from which the coil is made.

#### Figure Explanation:
The diagram illustrates a coil placed within a magnetic field, indicated by the presence of North (N) and South (S) poles. The B-field (magnetic field) direction is shown, and the coil is depicted in a position where it can rotate. The orientation of the coil relative to the magnetic field is important for understanding the electromagnetic induction process.

#### Input Fields:
- **Number**: Input the computed value of the wire length.
- **Units**: Select the appropriate units for the length measurement (e.g., meters).

#### Key Variables:
- **Number of Turns (N)**: 370
- **Magnetic Field (B)**: 0.49 T
- **Frequency (f)**: 60.0 Hz
- **RMS emf (Vrms)**: 120 V

This example demonstrates a practical application of Faraday's Law of Induction, which states that a change in magnetic environment of a coil of wire will induce an emf (electromotive force) in the coil.

For further learning, students are encouraged to use the relevant equations for electromagnetic induction and understand the relationships between the magnetic field, number of turns, frequency, and induced emf.

#### Note:
To solve for the length of the wire, appropriate formulas involving Faraday's Law and the parameters given should be applied. The response should then be inputted into the fields provided.

---

Remember to check your calculations and ensure units are correctly selected to prevent any errors in interpretation. This exercise enhances understanding of core concepts in electromagnetism and its real-world implications in devices like generators.
Transcribed Image Text:### Topic: Electromagnetic Induction and Generators **Current Attempt in Progress** A generator uses a coil that has 370 turns and a 0.49-T magnetic field. The frequency of this generator is 60.0 Hz, and its emf has an rms value of 120 V. Assuming that each turn of the coil is a square (an approximation), determine the length of the wire from which the coil is made. #### Figure Explanation: The diagram illustrates a coil placed within a magnetic field, indicated by the presence of North (N) and South (S) poles. The B-field (magnetic field) direction is shown, and the coil is depicted in a position where it can rotate. The orientation of the coil relative to the magnetic field is important for understanding the electromagnetic induction process. #### Input Fields: - **Number**: Input the computed value of the wire length. - **Units**: Select the appropriate units for the length measurement (e.g., meters). #### Key Variables: - **Number of Turns (N)**: 370 - **Magnetic Field (B)**: 0.49 T - **Frequency (f)**: 60.0 Hz - **RMS emf (Vrms)**: 120 V This example demonstrates a practical application of Faraday's Law of Induction, which states that a change in magnetic environment of a coil of wire will induce an emf (electromotive force) in the coil. For further learning, students are encouraged to use the relevant equations for electromagnetic induction and understand the relationships between the magnetic field, number of turns, frequency, and induced emf. #### Note: To solve for the length of the wire, appropriate formulas involving Faraday's Law and the parameters given should be applied. The response should then be inputted into the fields provided. --- Remember to check your calculations and ensure units are correctly selected to prevent any errors in interpretation. This exercise enhances understanding of core concepts in electromagnetism and its real-world implications in devices like generators.
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