Question #81070

A Plane travelling towards west at speed of 1800 km/hour.what is the voltage difference developed between the ends of wings having a span of 25 meter, if the earth magnetic field at the location has a magnitude of 5×10^2 T and the dip agle is 30°

Expert's answer

Answer on Question #81070, Physics / Electromagnetism

Question:

A Plane travelling towards west at speed of 1800km/hour1800\mathrm{km/hour} what is the voltage difference developed between the ends of wings having a span of 25 meter, if the earth magnetic field at the location has a magnitude of 5×10∧2T5\times 10^{\wedge}2\mathrm{T} and the dip angle is 30∘30{}^{\circ}

Solution:

The voltage difference U=El=vBvl=v⋅B⋅cos⁡30⋅l=1800⋅5⋅10−5⋅0.87⋅253.6=0.54 VU = El = vB_{v}l = v \cdot B \cdot \cos 30 \cdot l = \frac{1800 \cdot 5 \cdot 10^{-5} \cdot 0.87 \cdot 25}{3.6} = 0.54 \, \text{V},

The answer:

The voltage difference U=El=vBvl=v⋅B⋅cos⁡30⋅l=1800⋅5⋅10−5⋅0.87⋅253.6=0.54 VU = El = vB_{v}l = v \cdot B \cdot \cos 30 \cdot l = \frac{1800 \cdot 5 \cdot 10^{-5} \cdot 0.87 \cdot 25}{3.6} = 0.54 \, \text{V}, because the correct magnetic field induction has a magnitude of 5×10∧−5 T5 \times 10^{\wedge} - 5 \, \text{T}

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