Question

A flat circular area is held in a uniform magnetic field in such a way that the plane of the circle is perpendicular to the field lines. If the radius of the circle is r=5.0 cm and the magnitude of the magnetic field is B=2.3×10⁻⁵ T, then what is the magnetic flux through the circle?

Answer 1

The magnetic flux through a circular area held in a uniform magnetic field can be calculated using the formula: Φ = B × A, where Φ is the magnetic flux, B is the magnitude of the magnetic field, and A is the area of the circle.

Step-by-step explanation:

The magnetic flux through a circular area held in a uniform magnetic field can be calculated using the formula:

Φ = B × A

where Φ is the magnetic flux, B is the magnitude of the magnetic field, and A is the area of the circle.

In this case, the radius of the circle is given as 5.0 cm, which means the area can be calculated as A = π × r2

So, plugging in the given values of B = 2.3 × 10-5 T and r = 5.0 cm, the magnetic flux is:

Φ = (2.3 × 10-5 T) × (π × (5.0 cm)2)