A horizontal desk surface measures 1.7 m by 1.0 m. If the Earth's magnetic field has magnitude 0.42 mT and is directed 68° below the horizontal, what is the magnetic flux through the desk surface?

Respuesta :

Answer:

The magnetic flux through the desk surface is [tex]6.6\times10^{-4}\ T-m^2[/tex].

Explanation:

Given that,

Magnetic field B = 0.42 T

Angle =68°

We need to calculate the magnetic flux

[tex]\phi=BA\costheta[/tex]

Where, B = magnetic field

A = area

Put the value into the formula

[tex]\phi=0.42\times10^{-3}\times1.7\times1.0\cos22^{\circ}[/tex]

[tex]\phi=0.42\times10^{-3}\times1.7\times1.0\times0.927[/tex]

[tex]\phi=6.6\times10^{-4}\ T-m^2[/tex]

Hence, The magnetic flux through the desk surface is [tex]6.6\times10^{-4}\ T-m^2[/tex].