Question

A hemispherical bowl of radius R is placed in a uniform magnetic field that has magnitude B0 and is in the positive z direction. The open top of the bowl is in the xy plane.

Part A
Obtain an expression for the magnetic flux through the hemispherical surface of the bowl.
Express your answer in terms of some or all of the variables B0, R, and the constant ?.

Answer 1

The magnetic flux through the hemispherical surface of a bowl can be obtained using the formula: Φ = B0 * S, where B0 is the magnitude of the uniform magnetic field, and S is the area of the hemispherical surface.

Step-by-step explanation:

The magnetic flux through the surface of the hemispherical bowl can be obtained using the formula:

Θ = B0 * S

where B0 is the magnitude of the uniform magnetic field, and S is the area of the hemispherical surface.

The area of a hemisphere is given by S = 2πR^2, where R is the radius of the hemisphere.

Therefore, the magnetic flux through the hemispherical surface is Θ = 2πR^2 * B0.