Question

An aircraft with a wing span of $40\, m$ flies with a speed of $1080\, kmh ^{-1}$ in the eastward direction at a constant altitude in the northern hemisphere, where the vertical component of earth's magnetic field is $1.75 \times 10^{-5} T$. The emf(in V) that develops between the tips of the wings is_____.

Answer 1

The metallic part between the wing-tips can be treated as a single conductor cutting flux-lines due to vertical component of earth's magnetic field. So emf is induced between the tips of its wings.

$1=40\, m , B_{v}=1.75 \times 10^{-5} T , v=1080\, kmh ^{-1}$
$=\frac{1080 \times 1000}{3600} ms ^{-1}=300\, ms ^{-1}$
$\therefore \varepsilon=B_{v} l v=1.75 \times 10^{-5} \times 40 \times 300$
$=0.21\, V$