Changing Area 8 If the strength of the external magnetic field is Bext - 47.1 T, what is the magnetic flux through the ring when its radius is r= 42.5 cm? Enter the numerical value in SI units. Bext r Type your answer. 9 If the strength of the external magnetic field is instead Bext = 3.8 T, what the magnitude (i.e. absolute value) of the EMF induced in the ring as it is being compressed? Enter the numerical value in Sl units. Type your answer. A conducting ring of radius r in the x-y plane is placed within a constant external magnetic field Bext directed in the-z direction (into the page). The ring is subjected to forces that cause it to compress, resulting in its area decreasing at a rate of AA/ At =-55.0 m2/s. 10 What is the direction of the induced magnetic field within the ring? Out of the page (+z direction) Clockwise Into the page (-z direction) Counter-clockwise ОООО

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**Changing Area**

![Illustration of a magnetic field and a conducting ring]

Diagram Description:
- A large circle (conducting ring) is in the x-y plane.
- Inside and around the circle are several symbols (×) indicating a constant external magnetic field, \( B_{\text{ext}} \), directed into the page (-z direction).
- The radius of the circle is labeled as \( r \).

**Explanation:**
A conducting ring of radius \( r \) is placed within a constant external magnetic field \( B_{\text{ext}} \) which is directed into the page (-z direction). The ring is being compressed by external forces, causing its area to decrease at a rate of \( \Delta A / \Delta t = -55.0 \, \text{m}^2/\text{s} \).

**Questions:**

8. If the strength of the external magnetic field is \( B_{\text{ext}} = 47.1 \, \text{T} \), what is the magnetic flux through the ring when its radius is \( r = 42.5 \, \text{cm} \)? Enter the numerical value in SI units.

   *Type your answer...*

9. If the strength of the external magnetic field is instead \( B_{\text{ext}} = 3.8 \, \text{T} \), what is the magnitude (i.e., absolute value) of the EMF induced in the ring as it is being compressed? Enter the numerical value in SI units.

   *Type your answer...*

10. What is the direction of the induced magnetic field within the ring?
   - Out of the page (+z direction)
   - Clockwise
   - Into the page (-z direction)
   - Counter-clockwise
Transcribed Image Text:**Changing Area** ![Illustration of a magnetic field and a conducting ring] Diagram Description: - A large circle (conducting ring) is in the x-y plane. - Inside and around the circle are several symbols (×) indicating a constant external magnetic field, \( B_{\text{ext}} \), directed into the page (-z direction). - The radius of the circle is labeled as \( r \). **Explanation:** A conducting ring of radius \( r \) is placed within a constant external magnetic field \( B_{\text{ext}} \) which is directed into the page (-z direction). The ring is being compressed by external forces, causing its area to decrease at a rate of \( \Delta A / \Delta t = -55.0 \, \text{m}^2/\text{s} \). **Questions:** 8. If the strength of the external magnetic field is \( B_{\text{ext}} = 47.1 \, \text{T} \), what is the magnetic flux through the ring when its radius is \( r = 42.5 \, \text{cm} \)? Enter the numerical value in SI units. *Type your answer...* 9. If the strength of the external magnetic field is instead \( B_{\text{ext}} = 3.8 \, \text{T} \), what is the magnitude (i.e., absolute value) of the EMF induced in the ring as it is being compressed? Enter the numerical value in SI units. *Type your answer...* 10. What is the direction of the induced magnetic field within the ring? - Out of the page (+z direction) - Clockwise - Into the page (-z direction) - Counter-clockwise
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