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posted by  ItxguyI on 7/24/2008 9:38:25 PM  |  status: Live  

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A magnetic field is oriented at an angle of 49° to the normal of a rectangular area 5.5 cm by 7.2 cm. If the magnetic flux through this surface has a magnitude of 4.5 multiplied by 10-5 T·m2, what is the strength of the magnetic field?
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posted by Justin_08 on 7/24/2008 11:44:27 PM  |  status: Live
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            Given that the  angle between  the magnetic field and normal of the surface is  θ = 49°
                   the area of the rectangle is A = 5.5cm /7.2cm = 39.6*10-4 m2
       magnetic flux through this surface has a magnitude of  φ = 4.5 multiplied by 10-5 T·m2        
 
  ----------------------------------------------------------------------------------------
 
             the magnetic flux through the surface of area  A is  φ = BAcosθ
                                                                      B = φ / Acosθ
                                                                         = 4.5 multiplied by 10-5 T·m2 /( 39.6*10-4 m2 *cos 49°)
                                                                         = --------- T
  
 
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