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

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Question: In a toroidal solenoid, what is the expression for the magnetic field inside the toroid?

Options:

Correct Answer: B = μ₀nI

Solution:

The magnetic field inside a toroidal solenoid is given by B = μ₀nI, where n is the number of turns per unit length along the circular path.

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

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.

Magnetic Field in Toroidal Solenoid – The magnetic field inside a toroidal solenoid is determined by the product of the permeability of free space (μ₀), the number of turns per unit length (n), and the current (I) flowing through the solenoid.