Question

A jet plane is travelling towards west at a speed of $1800km/h$. What is the voltage difference developed between the ends of the wing having a span of $25m$, if the Earth's magnetic field at the location has a magnitude of $5\times {10}^{-4}T$ and the dip angle is ${30}^o$.

• A. 0.31 V
• B. 3.1 V
• C. 5 V
• D. 10 V

Answer 1

The correct option is B 3.1 V

$v=1800km/h=1800\times \frac{5}{18}=500m{s}^{-1}$

$l\to$ distance between the ends of the wings=$25m$

$B=5\times {10}^{-4}T$

$\theta =30°$

Motional emf $\epsilon =B_{v}vl$ [$B_v$-verticle component of earth's magnetic field]

$\epsilon =5\times {10}^{-4}\times \sin 30°\times 500\times 25=3.1V$