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What is the magnetic field inside a toroidal solenoid? (2023)

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Question: What is the magnetic field inside a toroidal solenoid? (2023)

Options:

  1. Zero
  2. Uniform and non-zero
  3. Varies with position
  4. Depends on the current only

Correct Answer: Uniform and non-zero

Exam Year: 2023

Solution: 

The magnetic field inside a toroidal solenoid is uniform and non-zero, and it is given by B = (μ₀NI)/(2πr), where N is the number of turns, I is the current, and r is the distance from the center.

What is the magnetic field inside a toroidal solenoid? (2023)

Practice Questions

Q1
What is the magnetic field inside a toroidal solenoid? (2023)
  1. Zero
  2. Uniform and non-zero
  3. Varies with position
  4. Depends on the current only

Questions & Step-by-Step Solutions

What is the magnetic field inside a toroidal solenoid? (2023)
  • Step 1: Understand what a toroidal solenoid is. It is a coil of wire shaped like a donut.
  • Step 2: Know that when electric current flows through the wire, it creates a magnetic field.
  • Step 3: Recognize that the magnetic field inside the toroidal solenoid is uniform, meaning it is the same at every point inside.
  • Step 4: Learn the formula for the magnetic field inside the toroidal solenoid: B = (μ₀NI)/(2πr).
  • Step 5: Identify the variables in the formula: μ₀ is the permeability of free space, N is the number of turns of the wire, I is the current flowing through the wire, and r is the distance from the center of the toroid.
  • Step 6: Use the formula to calculate the magnetic field by plugging in the values for N, I, and r.
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