A rectangular loop of area 20 cm × 30 cm is placed in a magnetic field of 0.3 t with its plane 1) normal to the field 2) inclined 30° to the field 3) parallel to the field. find the flux linked woth the coil in each case
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Hello friend,
Following is the answer to your question,
Hope it helps.
Here A = 20cm x 30 cm = 6 x ${{10}^{-2}}$${{m}^{2}}$
B = 0.3 T
Let θ be the angle made by the field B with the normal to the plane of the coil.
(i) Normal to the field i.e. , θ = 90°- 90° = 0°
so,flux, = BA Cos θ
= 0.3 x 6 x ${{10}^{-2}}$ x cos0°
= 1.8 x ${{10}^{-2}}$ Wb
(ii) Inclined 30° towards the plane i.e., θ = 90° - 30° = 60°
= 0.3 X 6 X ${{10}^{-2}}$ x cos 60°
= 0.9 x ${{10}^{-2}}$ Wb
(iii) Parallel towards the plane i.e. , θ = 90°
= 0.3 X 6 X ${{10}^{-2}}$ x cos90°
= θ
Thank you.
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