Changing Magnetic Field 4 V.B What is the direction and behavior of the magnetic flux through the loop? The flux is directed into the page (-z direction) and increasing in magnitude. The flux is directed out of the page (+z direction) and increasing in magnitude. L. The flux is directed out of the page (+z direction) and decreasing in magnitude. The flux is directed into the page (-z direction) and decreasing in magnitude. B = 0 5 Bext (t) What is the magnetic flux through the loop at t = 5.0 s? Enter the numerical value in Sl units. A square loop with sides of length L = 1.00 m and a resistance of Ris placed within the x-y plane, with half of it in the presence of an increasing external magnetic field Bext directed out of the page (+z direction). This external magnetic field has a magnitude of B(t) (5t + 1) and is changing at a rate of AB/At = 5 T/s. Type your answer. 6 If the resistance of the loop is R = 6.2 Q, what is the magnitude of the induced current generated within the loop? Enter the numerical value in SI units. Type your answer. 7 What is the direction of the induced current in the loop? Clockwise Out of the page (+z) Into the page (-z) There is no induced current. Counter-clockwise OO O O C

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**Changing Magnetic Field**

*A square loop with sides of length \( L = 1.00 \, \text{m} \) and a resistance of \( R \) is placed within the x-y plane, with half of it in the presence of an increasing external magnetic field \( B_{\text{ext}} \) directed out of the page (+z direction). This external magnetic field has a magnitude of \( B(t) = (5t + 1) \) and is changing at a rate of \( \Delta B / \Delta t = 5 \, \text{T/s} \).*

**Diagram Explanation:**

- The diagram shows a square loop with half of its area in a region with an external magnetic field \( B_{\text{ext}}(t) \) directed out of the page.
- The magnetic field \( B = 0 \) in the other half of the loop.

**Questions:**

4. **What is the direction and behavior of the magnetic flux through the loop?**

   - The flux is directed into the page (-z direction) and increasing in magnitude.
   - The flux is directed out of the page (+z direction) and increasing in magnitude.
   - The flux is directed out of the page (+z direction) and decreasing in magnitude.
   - The flux is directed into the page (-z direction) and decreasing in magnitude.

5. **What is the magnetic flux through the loop at \( t = 5.0 \, \text{s} \)? Enter the numerical value in SI units.**

   - *Type your answer...*

6. **If the resistance of the loop is \( R = 6.2 \, \Omega \), what is the magnitude of the induced current generated within the loop? Enter the numerical value in SI units.**

   - *Type your answer...*

7. **What is the direction of the induced current in the loop?**

   - Clockwise
   - Out of the page (+z)
   - Into the page (-z)
   - There is no induced current.
   - Counter-clockwise
Transcribed Image Text:**Changing Magnetic Field** *A square loop with sides of length \( L = 1.00 \, \text{m} \) and a resistance of \( R \) is placed within the x-y plane, with half of it in the presence of an increasing external magnetic field \( B_{\text{ext}} \) directed out of the page (+z direction). This external magnetic field has a magnitude of \( B(t) = (5t + 1) \) and is changing at a rate of \( \Delta B / \Delta t = 5 \, \text{T/s} \).* **Diagram Explanation:** - The diagram shows a square loop with half of its area in a region with an external magnetic field \( B_{\text{ext}}(t) \) directed out of the page. - The magnetic field \( B = 0 \) in the other half of the loop. **Questions:** 4. **What is the direction and behavior of the magnetic flux through the loop?** - The flux is directed into the page (-z direction) and increasing in magnitude. - The flux is directed out of the page (+z direction) and increasing in magnitude. - The flux is directed out of the page (+z direction) and decreasing in magnitude. - The flux is directed into the page (-z direction) and decreasing in magnitude. 5. **What is the magnetic flux through the loop at \( t = 5.0 \, \text{s} \)? Enter the numerical value in SI units.** - *Type your answer...* 6. **If the resistance of the loop is \( R = 6.2 \, \Omega \), what is the magnitude of the induced current generated within the loop? Enter the numerical value in SI units.** - *Type your answer...* 7. **What is the direction of the induced current in the loop?** - Clockwise - Out of the page (+z) - Into the page (-z) - There is no induced current. - Counter-clockwise
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