An aeroplane with a wing span of 50 m is flying horizontally with a speed is 200 m/s. The horizontal and 9 vertical components of Earth's magnetic field are 0.3 gauss and 0.5 gauss respectively. Find the potential difference between the wing tips of the aeroplane induced by its motion through the Earth's magnetic field.
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0.5 x 104 V
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2 V
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0.3 V
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0.5 V
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25 x 104 V
D
Correct answer
Explanation
Wing span l = 50 m. Speed v = 200 m/sHorizontal component of earth's field BH = 0.3 gauss = 0.3 x 10- 4 T. Vertical component of earth's field BV = 0.5 gauss = 0.5 x 10- 4 T. An aeroplane flying horizontally cuts only the vertical component of the earth's field. So, the potential difference between the wing tips of the aeroplane is ε = Bvvl = 0.5 x 10- 4 x 200 x 50 = 0.5 V