A room has its walls aligned accurately with respect to north,south, east, and w

Question

A room has its walls aligned accurately with respect to north,south, east, and west. The north wall has an area of 15m2, the east wall has an area of 12 m2, andthe floor's area is 35 m2.   At the site theEarth's magnetic field has a value of 0.60 G and is directed50° below the horizontal and 7.0° east of north. Find thefluxes through the north wall, the east wall, and the floor.

1) (a) 0.57 mWb, (b) 56 µWb, (c) 1.6 mWb

2) (a) 0.90 mWb, (b) 46 µWb, (c) 1.3 mWb

3) (a) 0.69 mWb, (b) 88 µWb, (c) 2.1 mWb

Explanation / Answer

Flux = BAcos here field is 50o below horizontal and7o east of north Therefore the field is making an angle of 7o withthe normal of north wall and 83o with the normal of eastwall and also the field makes an angle of 50o with the the floor
Therefore flux north wall = 0.6*10-4T *15m2*cos7o          = 8.93*10-4Wb          = 0.9mWb
      flux east wall =0.6*10-4T * 12m2*cos83o          = 0.88*10-4Wb          = 88Wb         flux floor =0.6*10-4T * 35m2*cos50o         = 13.4*10-4Wb         =1.3mWb
Hope this helps you

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