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Question 6.10: A jet plane is travelling towards west at a speed of 1800 km/h. What is the voltage difference developed between the ends of the wing having a span of 25 m, if the Earth’s magnetic field at the location has a magnitude of 5 × 10 −4 T and the dip angle is 30°.Class 12 - Physics - Electromagnetic Induction Electromagnetic Induction Page-230 |
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Answer» GIVEN, Speed of the jet plane TOWARDS west = 1800 km/h In m/s, speed of the jet plane towards west,v = 1800 × 5/18 = 500 m/s Length of the span of the jet plane = 25 m MAGNETIC FIELD = 5 × 10^-4 T Dip angle =30° The vertical component of Earth’s magnetic field can be calculated as follows: Bv= B sinδ Bv= 5 × 10^-4 T × sin30° ⇒ Bv= 5 × 10^-4 T × 1/2 ∴ Bv = 2.5 × 10^-4 Tesla The voltage difference developed between the ends of the jet can be calculated using the formula: E = (Bv) × l × v e =2.5×10^-4 T× 25m × 500m/sec e = 3.125 V ∴ the voltage difference developed between the ends of the wings is approximately 3V. |
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