Question

An aircraft with a wingspan of $40m$ flies with a speed of $1080km/hr$ in the eastward direction at a constant altitude in the northern hemisphere, where the vertical component of the earth's magnetic field $1.75\times 10^{-5}$ $T$. Then the emf developed between the tips of the wings is

• A. 0.5 V
• B. 0.34 V
• C. 0.21 V
• D. 2.1 V

Answer 1

Answer: (C)

Given, $l=40m$
$B_v=1.75\times 10^{-5}T$
$v=1080km/h=1080\times \frac{5}{18}m/s$
We know that, emf developed between the tips of the wings,
$e=B_v.lv$
$e=40\times 1.75\times 10^{-5}\times 1080\times \frac{5}{18}$
$e=21000\times 10^{-5}$
$e=0.21V$