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

Solution

Given, a jet plane is travelling towards west.

$Speed, v = 1800 km h^{- 1} = \frac{1800 \times 1000}{60 \times 60} = 500 m / s$

Earth's field, $B = 5.0 \times 10^{- 4} T$

Angle of dip, $δ = 30 °$
Length of the jet wing = 25 m

The vertical component (B_v) of earth's field is normal to both wings and the direction of motion.

$∴ B_{v} = B \sin δ$
$= 5.0 \times 10^{- 4} \sin 30 °$

$= 5 \times 10^{- 4} \times \frac{1}{2} = 2.5 \times 10^{- 4} T$

Induced e.m.f produced

$ε = B_{v} . v l = 2.5 \times 10^{- 4} \times 500 \times 25 = 3.125 V .$

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Electric Charges And Fields

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

Some More Questions From Electric Charges and Fields Chapter

Figure shows tracks of three charged particles in a uniform electrostatic field. Give the signs of the three charges. Which particle has the highest charge to mass ratio?

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Electric Charges And Fields

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

Some More Questions From Electric Charges and Fields Chapter

Figure shows tracks of three charged particles in a uniform electrostatic field. Give the signs of the three charges. Which particle has the highest charge to mass ratio?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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