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FIGURE EX30.5 shows a 10cm10cmsquare bent at a 90angle. A uniform 0.050Tmagnetic field points downward at a 45angle. What is the magnetic flux through the loop?

Short Answer

Expert verified

Through the loop the magnetic flux,net=3.5104Tm2

Step by step solution

01

The magnetic flux 

Magnetic flux seems to be the magnitude of magnetic field which passes through some kind of ring of area A. If the magnetic field lies straight towards the plane's normal, This magnetic flux was provided by

localid="1648909787313" m=BA 1

The magnetic flux, however, would be supplied by if the magnetic field forms an angular position only with planes.

m=BAcos 2

02

The total through the bend square

Here Bdenotes the magnetic field as well as Adenotes the substring circumference. Two fields exist, each of which has different scales and inclinations. The square consists of 2 rectangle rings of the same area and tilted points being bent at 90. As a result, the bent square's overall flux was

net=2BAcos 3

03

The magnetic flux through the loop 

Single rectangle's surface area is

A=(0.10m)(0.05m)=5103m2

Then, we enter the data for A, and Binto equation 3to get net

net=2BAcos

=2(0.050T)5103m2cos45

=3.5104Tm2

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