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Chapter 4: Q12E (page 912)

A horizontal rectangular surface has dimensions 2.80cmby 3.20cmand is in a uniform magnetic field that is directed at an angle of 30.0掳above the horizontal. What must the magnitude of the magnetic field be to produce a flux of 3.10脳10-4Wb through the surface?

Short Answer

Expert verified

The magnitude of the magnetic field be to produce a flux of 3.10脳10-4Wbthrough the surface is0.692T.

Step by step solution

01

Definition of magnetic field

The term magnetic field may be defined as the area around the magnet behave like a magnet.

02

Determine the magnitude of the magnetic field

The magnetic flux can be calculated as

fB=鈭�B鈬赌脳dA鈫�fB=鈭�BAcos胃B=fBAcos胃

But

A=aba=2.30cmb=3.20cm

Than

B=fBabcos胃

Here a, b are the side of rectangle fBis the magnetic flux and B is the magnetic field.

Substitute all the value in the above equation.

B=fBabcos胃B=3.10脳10-4Wb2.80脳10-2m3.20脳10-2mcos60.0掳B=0.692T

Hence, the magnitude of the magnetic field be to produce a flux of role="math" localid="1655717958537" 3.10脳10-4Wbthrough the surface is 0.692T

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