In a toroidal solenoid, what is the expression for the magnetic field inside the

Practice Questions

Q1
In a toroidal solenoid, what is the expression for the magnetic field inside the toroid?
  1. B = μ₀nI
  2. B = μ₀I/2πr
  3. B = μ₀I/n
  4. B = μ₀I/4πr²

Questions & Step-by-Step Solutions

In a toroidal solenoid, what is the expression for the magnetic field inside the toroid?
  • Step 1: Understand what a toroidal solenoid is. It is a coil of wire shaped like a donut (torus) that creates a magnetic field when electric current flows through it.
  • Step 2: Identify the key components in the formula for the magnetic field inside the toroid. These are: μ₀ (the permeability of free space), n (the number of turns of wire per unit length), and I (the current flowing through the wire).
  • Step 3: Recognize that the formula for the magnetic field (B) inside the toroidal solenoid is B = μ₀nI.
  • Step 4: Understand that 'n' is calculated by taking the total number of turns of wire and dividing it by the circumference of the circular path inside the toroid.
  • Step 5: Remember that the magnetic field is uniform inside the toroid and is directed along the circular path.
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