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 × 10-5 T. The emf(in V) that develops between the tips of the wings is.

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 × 10-5 T. The emf(in V) that develops between the tips of the wings is. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

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 1 0^{- 5} T, v = 1080 km h^{- 1}

= \frac{1080 \times 1000}{3600} m s^{- 1} = 300 m s^{- 1}

∴ ε = B_{v} l v = 1.75 \times 1 0^{- 5} \times 40 \times 300

= 0.21 V

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