Question

A jet plane of wing span $20\, m$ is travelling towards west at a speed of $400 \,{ms^{-1}}$. If the earth?s total magnetic field is $4 \times 10^{-4} T$ and the dip angle is $30^\circ$, at that place, the voltage difference developed across the ends of the wing is

• A. 1.6 V
• B. 3.2 V
• C. 0.8 V
• D. 6.4 V

Answer 1

The Correct Option is A

Given,
Speed $(v)=400 \,ms ^{-1}$
Magnetic field $(B)=4 \times 10^{-4} \,T$
Dip angle $\theta-30^{\circ}$
We know that,
Voltage difference $=Blv \,\sin \,\theta$
$=4 \times 10^{-4} \times 20 \times 400 \times \sin 30^{\circ}$
$=32000 \times 10^{-4} \times \sin 30$
$=32000 \times 10^{-4} \times \frac{1}{2}=1.6\, V$