An airliner is flying due east from the USA to France. The Earth's magnetic field acts at $60^{\circ}$ to the horizontal and has a strength of $\sqrt{3} \times 10^{-4} T$, and the aircraft speed is $300 ms^{-1}$. The wing span of the aircraft is 60 m. The potential difference induced between the tips of the wings is: |
2.7 V 5.4 V $9 \sqrt{3} \times 10^{-1} V$ Zero |
2.7 V |
The correct answer is Option (1) → 2.7 V B, strength of magnetic field = $\sqrt{3}×10^{-4}$ v, speed of the aircraft = 300 m/s L, Wingspan of the aircraft = 60 m θ, angle between the magnetic field and plane = 60° ε, induced emf = $ε=BvL\sin(θ)$ [formula] $=\sqrt{3}×10^{-4}×300×60×\frac{\sqrt{3}}{2}$ $=3×10^{-4}×300×60×\frac{1}{2}$ $=\frac{5.4}{2}$ $=2.7V$ |