The figure below shows a circular loop of wire of resistance R = 0.500 n and radius r= 9.30 cm in the presence of a uniform magnetic field But directed out of the page. A clockwise current of I = 3.10 mA is induced in the loop. (a) Which of the following best describes the magnitude of B? O It is increasing with time. O It is decreasing with time. O It remains constant. (b) Find the rate at which the field is changing with time (in mT/s). mT/s (c) What If? What is the magnitude of the induced electric field at a distance - from the center of the loop (in V/m)? V/m

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The figure below shows a circular loop of wire of resistance \( R = 0.500 \, \Omega \) and radius \( r = 9.30 \, \text{cm} \) in the presence of a uniform magnetic field \( \vec{B}_{\text{out}} \) directed out of the page. A clockwise current of \( I = 3.10 \, \text{mA} \) is induced in the loop.

**Diagram Explanation:**

- The diagram depicts a circular loop with a radius \( r \) and marked with a resistance \( R \).
- Arrows indicate the direction of the induced current (clockwise).
- Dots represent the magnetic field lines directed out of the page.

**Questions:**

(a) Which of the following best describes the magnitude of \( \vec{B}_{\text{out}} \)?
- It is increasing with time.
- It is decreasing with time.
- It remains constant.

(b) Find the rate at which the field is changing with time (in mT/s).

\[ \text{_____ mT/s} \]

(c) *What If?* What is the magnitude of the induced electric field at a distance \( \frac{r}{2} \) from the center of the loop (in V/m)?

\[ \text{_____ V/m} \]
Transcribed Image Text:The figure below shows a circular loop of wire of resistance \( R = 0.500 \, \Omega \) and radius \( r = 9.30 \, \text{cm} \) in the presence of a uniform magnetic field \( \vec{B}_{\text{out}} \) directed out of the page. A clockwise current of \( I = 3.10 \, \text{mA} \) is induced in the loop. **Diagram Explanation:** - The diagram depicts a circular loop with a radius \( r \) and marked with a resistance \( R \). - Arrows indicate the direction of the induced current (clockwise). - Dots represent the magnetic field lines directed out of the page. **Questions:** (a) Which of the following best describes the magnitude of \( \vec{B}_{\text{out}} \)? - It is increasing with time. - It is decreasing with time. - It remains constant. (b) Find the rate at which the field is changing with time (in mT/s). \[ \text{_____ mT/s} \] (c) *What If?* What is the magnitude of the induced electric field at a distance \( \frac{r}{2} \) from the center of the loop (in V/m)? \[ \text{_____ V/m} \]
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