The accompanying figure shows a cross-section of a long, hollow, cylindrical conductor of inner radius r1 = 2.5 cm and outer radius r2 = 6 cm. A 57-A current distributed uniformly over the cross-section flows into the page. Calculate the magnetic field at r= 1.5 cm, r = 4 cm, and r= 6.5 cm. Hints a. Magnetic field at r= 1.5 cm is for (a) b. Magnetic field at r = 4 cm is for (b) c. Magnetic field at r= 6.5 cm is for (c) 12 Submit Question T. Additional hint T. Additional hint T. Additional hint Use the "E" notation to enter your answer in scientific notation. For example, to enter 3.14 x 10 - 12 , enter "3.14E-12". Question Help: Message instructor

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**Text Transcription for Educational Website**

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The accompanying figure shows a cross-section of a long, hollow, cylindrical conductor of inner radius \( r_1 = 2.5 \, \text{cm} \) and outer radius \( r_2 = 6 \, \text{cm} \). A 57-A current distributed uniformly over the cross-section flows into the page. Calculate the magnetic field at \( r = 1.5 \, \text{cm}, r = 4 \, \text{cm}, \) and \( r = 6.5 \, \text{cm} \).

**Hints**

- **a.** Magnetic field at \( r = 1.5 \, \text{cm} \) is \(\_\_\_\_\_\_\_\_\_)
  - [Additional hint for (a)]

- **b.** Magnetic field at \( r = 4 \, \text{cm} \) is \(\_\_\_\_\_\_\_\_\_)
  - [Additional hint for (b)]

- **c.** Magnetic field at \( r = 6.5 \, \text{cm} \) is \(\_\_\_\_\_\_\_\_\_)
  - [Additional hint for (c)]

Use the "E" notation to enter your answer in scientific notation. For example, to enter \( 3.14 \times 10^{-12} \), enter "3.14E-12".

**Question Help:** [Message instructor]

[Submit Question]

**Explanation of Diagram:**

The diagram is an annular cross-section (a hollow ring) of a cylindrical conductor. The inner circle represents the inner radius \( r_1 = 2.5 \, \text{cm} \) and the outer circle represents the outer radius \( r_2 = 6 \, \text{cm} \). The gray shaded area represents the conducting material. There is an arrow pointing inward, indicating the direction of the current flow into the page, with a uniformly distributed current of 57 A.

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Transcribed Image Text:**Text Transcription for Educational Website** --- The accompanying figure shows a cross-section of a long, hollow, cylindrical conductor of inner radius \( r_1 = 2.5 \, \text{cm} \) and outer radius \( r_2 = 6 \, \text{cm} \). A 57-A current distributed uniformly over the cross-section flows into the page. Calculate the magnetic field at \( r = 1.5 \, \text{cm}, r = 4 \, \text{cm}, \) and \( r = 6.5 \, \text{cm} \). **Hints** - **a.** Magnetic field at \( r = 1.5 \, \text{cm} \) is \(\_\_\_\_\_\_\_\_\_) - [Additional hint for (a)] - **b.** Magnetic field at \( r = 4 \, \text{cm} \) is \(\_\_\_\_\_\_\_\_\_) - [Additional hint for (b)] - **c.** Magnetic field at \( r = 6.5 \, \text{cm} \) is \(\_\_\_\_\_\_\_\_\_) - [Additional hint for (c)] Use the "E" notation to enter your answer in scientific notation. For example, to enter \( 3.14 \times 10^{-12} \), enter "3.14E-12". **Question Help:** [Message instructor] [Submit Question] **Explanation of Diagram:** The diagram is an annular cross-section (a hollow ring) of a cylindrical conductor. The inner circle represents the inner radius \( r_1 = 2.5 \, \text{cm} \) and the outer circle represents the outer radius \( r_2 = 6 \, \text{cm} \). The gray shaded area represents the conducting material. There is an arrow pointing inward, indicating the direction of the current flow into the page, with a uniformly distributed current of 57 A. ---
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