How does the magnitude of the magnetic field along the axis of the coil depend on the distance from the axis? (b) Where does the maximum magnitude of the field occur? (c) How does the maximum magnitude of the magnetic field depend on the current in the coil? answer a ,b , and c

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Chapter1: Units, Trigonometry. And Vectors
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How does the magnitude of the magnetic field along the axis of the coil depend on the distance
from the axis? (b) Where does the maximum magnitude of the field occur? (c) How does the
maximum magnitude of the magnetic field depend on the current in the coil?
answer a ,b , and c 

**Magnetic Field Inside a Coil**

**Current in the Coil (A)**
- 0.049 A
- 0.10 A

**Maximum Magnitude of the Magnetic Field (mT)**
- 0.3865 mT
- 0.3854 mT

**Table 5.2: Magnetic Field Inside a Coil**

- **Number of Turns in the Slinky:** 80
- **Current:** 1.015 A

| **Length of the Coil (m)** | **Turns/Meter (n) (m⁻¹)** | **Magnitude of Magnetic Field (mT)** |
|----------------------------|--------------------------|------------------------------------|
| 0.50                       | 160                      | 0.2525                             |
| 0.80                       | 100                      | 0.1517                             |
| 1.20                       | 66.67                    | 0.0658                             |
| 1.60                       | 50                       | 0.0368                             |

The table displays the relationship between the length of a coil, the number of turns per meter, and the resulting magnitude of the magnetic field. As the length of the coil increases, the turns per meter decrease, leading to a reduction in the magnetic field's magnitude.
Transcribed Image Text:**Magnetic Field Inside a Coil** **Current in the Coil (A)** - 0.049 A - 0.10 A **Maximum Magnitude of the Magnetic Field (mT)** - 0.3865 mT - 0.3854 mT **Table 5.2: Magnetic Field Inside a Coil** - **Number of Turns in the Slinky:** 80 - **Current:** 1.015 A | **Length of the Coil (m)** | **Turns/Meter (n) (m⁻¹)** | **Magnitude of Magnetic Field (mT)** | |----------------------------|--------------------------|------------------------------------| | 0.50 | 160 | 0.2525 | | 0.80 | 100 | 0.1517 | | 1.20 | 66.67 | 0.0658 | | 1.60 | 50 | 0.0368 | The table displays the relationship between the length of a coil, the number of turns per meter, and the resulting magnitude of the magnetic field. As the length of the coil increases, the turns per meter decrease, leading to a reduction in the magnetic field's magnitude.
Expert Solution
Step 1

In a current carrying coil, the magnetic field inside the coil is given by

B = μonI

where, n = number of turns per unit length

I = Current flowing through the coil wire

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