The magnetic field inside a tightly-wound toroidal solenoid: varies as the square of the current is uniform is always zero is non-uniform

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Chapter1: Units, Trigonometry. And Vectors
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### Understanding the Magnetic Field in a Toroidal Solenoid

The question explores the characteristics of the magnetic field within a tightly-wound toroidal solenoid. Below are the options provided:

- **Option 1: Varies as the square of the current**
- **Option 2: Is uniform**
- **Option 3: Is always zero**
- **Option 4: Is non-uniform**

### Explanation:

A toroidal solenoid is a coil shaped like a donut, wound tightly, with wire loops forming a continuous path. The magnetic field inside a toroidal solenoid is significant for the following reasons:

- **Uniform Magnetic Field**: The magnetic field inside a toroidal solenoid is uniform and contained within the core of the solenoid. This is because the circular symmetry and closed-loop structure cancel out any external magnetic fields.
  
- **Dependence on Current**: The strength of the magnetic field is directly proportional to the current flowing through the wire and the number of turns per unit length. However, it doesn't vary as the square of the current.

- **Zero Outside**: Outside the solenoid, the magnetic field is effectively zero due to the closed-loop configuration.

#### Correct Answer:
The magnetic field inside a tightly-wound toroidal solenoid is uniform.
Transcribed Image Text:### Understanding the Magnetic Field in a Toroidal Solenoid The question explores the characteristics of the magnetic field within a tightly-wound toroidal solenoid. Below are the options provided: - **Option 1: Varies as the square of the current** - **Option 2: Is uniform** - **Option 3: Is always zero** - **Option 4: Is non-uniform** ### Explanation: A toroidal solenoid is a coil shaped like a donut, wound tightly, with wire loops forming a continuous path. The magnetic field inside a toroidal solenoid is significant for the following reasons: - **Uniform Magnetic Field**: The magnetic field inside a toroidal solenoid is uniform and contained within the core of the solenoid. This is because the circular symmetry and closed-loop structure cancel out any external magnetic fields. - **Dependence on Current**: The strength of the magnetic field is directly proportional to the current flowing through the wire and the number of turns per unit length. However, it doesn't vary as the square of the current. - **Zero Outside**: Outside the solenoid, the magnetic field is effectively zero due to the closed-loop configuration. #### Correct Answer: The magnetic field inside a tightly-wound toroidal solenoid is uniform.
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