Question

A jet plane is travelling west at the speed of 1600 km h-1. The voltage difference developed between the ends of the wing having a span of 20 m, if the earth’s magnetic field at the location has a magnitude of 5 x 10-4 T and the dip angle is 30° is

• A. 4.1V
• B. 2.2 V
• C. 3.2 V
• D. 3.8 V

Answer 1

Answer: (B)

2.2 V

Answer 2

Here ,

$v = 1600kmh^{-} = 1600 \times \frac{5}{18} = 444m{s^{-}}^{1}$

$t = 20m,B = 5 \times 10^{- 4}Tand\delta = 30º$

As $\varepsilon = Blv = Vlv$ (Where V is the vertical component of earth’s field)

$= (B\sin\delta)lv$ $(\because V = B\sin\delta)$

$= 5 \times 10^{- 4}\sin 30º \times 20 \times 444 = 2.2V$