π Topic Summary
A toroid is essentially a solenoid bent into a circular shape. When current flows through the coil of a toroid, it creates a magnetic field inside. A key feature of this field is that it's almost entirely confined to the interior of the toroid, making it a great way to study magnetic fields in a controlled environment. This activity focuses on measuring this magnetic field and understanding how it depends on the toroid's physical characteristics and the current flowing through it.
The magnetic field inside a toroid is given by the equation:
$B = \frac{\mu_0 N I}{2 \pi r}$
Where:
- 𧲠$B$ is the magnetic field strength
- π§ͺ $\mu_0$ is the permeability of free space ($4\pi Γ 10^{-7} Tβ
m/A$)
- π $N$ is the total number of turns in the toroid
- β‘ $I$ is the current flowing through the toroid
- π $r$ is the radius from the center of the toroid to the point where the magnetic field is being measured.
𧲠Part A: Vocabulary
Match the term with its correct definition:
| Term |
Definition |
| 1. Toroid |
A. The amount of electric charge flowing per unit time. |
| 2. Magnetic Field |
B. A closed, ring-shaped coil, often used to confine magnetic fields. |
| 3. Current |
C. A region around a magnet or moving electric charge where a magnetic force is exerted. |
| 4. Permeability |
D. The measure of a material's ability to support the formation of magnetic fields. |
| 5. Solenoid |
E. A coil of wire wound into a tightly packed helix. |
π Part B: Fill in the Blanks
The magnetic field inside a toroid is primarily confined to its __________. The strength of the magnetic field is directly proportional to the __________ and the number of __________. It is inversely proportional to the __________ from the center of the toroid.
π€ Part C: Critical Thinking
How would increasing the number of turns in the toroid's coil affect the magnetic field inside, assuming all other variables remain constant? Explain your reasoning.
