The magnetic field at the given point inside the toroid is determined as 1.92 x 10⁻² T.
How to calculate the magnetic field?
The magnetic field at the given radius is calculated by applying the following formula as shown below.
B = μ₀NI / 2πr
where;
- B is the magnetic field
- μ₀ is the permeability of free space
- N is the number of turns of wire,
- I is the current through the wire
- r is the distance from the center of the toroid to the point where you want to find the magnetic field.
The magnetic field at the given radius is calculated as;
B = (4π x 10⁻⁷ x 330 x 18 ) / (2π x 0.062)
B = 1.92 x 10⁻² T
The complete question is below:
A toroid has 330 turns of wire and carries a current of 18 A. its inner and outer radii are 5.6 cm and 11.2 cm. find the magnetic field at r = 6.2 cm