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:
Answer & explanation
Correct answer: option 1
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]
$=\sqrt{3}×10^{-4}×300×60×\frac{\sqrt{3}}{2}$
$=3×10^{-4}×300×60×\frac{1}{2}$
$=\frac{5.4}{2}$
$=2.7V$