A magnet in the form of a cylindrical rod has a length of 5.31 cm and a diameter of 1.34 cm. It has a uniform magnetization of 6.46 × 103A/m. What is its magnetic dipole moment?

Respuesta :

aachen

Explanation:

Given that,

Length of the rod, l = 5.31 cm = 0.0531 m

Diameter of the rod, d = 1.34 cm

Radius of the rod, r = 0.0067 m

Magnetization in the rod, [tex]M=6.46\times 10^3\ A/m[/tex]

We need to find the magnetic dipole moment of the rod. The magnetic dipole moment is given by:

[tex]\mu=M\times V[/tex]

V is the volume of the cylindrical rod

[tex]\mu=M\times\pi r^2l[/tex]

[tex]\mu=6.46\times 10^3\times \pi (0.0067)^2\times 0.0531[/tex]

[tex]\mu=0.049\ J/T[/tex]

So, the magnetic dipole moment of the rod is 0.049 J/T. Hence, this is the required solution