Problem 27.78: Step-by-Step You and your roommate are headed to Cancun for sprin

Question

Problem 27.78: Step-by-Step You and your roommate are headed to Cancun for spring break Your roommate, who has had only high school physics, has read that an emf can be induced in the wings of an airplane and wonders whether this would give enough voltage to power a portable music player Part A What physics concept is this quest on exploring? magnetic dipole moment and torque on a wing from the earth's magnetic feld O charging by rubbing of the air on the wing, causing magnetic field o Faraday's Law describing the creation of a voltage difference between the air and the wing surface electromagnetic induction, changing magnetic tux Submit My Answers Give Up Part B In order for there to be emf created what assumption about the orientation of the earth's magnetic field and the surface of the wing must be made? Earth's magnetic field is parallel to the wing surtace the Area vector of the wing surface is perpendicular to the Earth's magnetic field the orientation does not matter Earth's magnetic field is perpendicular to the wing surface Submit My Answers Give Up Part C

Explanation / Answer

1) this idea relates best to the electromagnetic induction and due to changing magnetic flux

2) In order to induce the emf ; the wings surface should be perpedicular to the earths magnetic filed ==> area vector should be parallel to the magnetic field (option d).

The magmetic flux is given by the dot product B .A . In case (a and b), B.A = 0.

3) magmetic flux is given by the dot product B .A = BA cos (theta)

to induce any of the three quantities B , A or theta should change with time ==>

in option a--> theta changes

in option b area changes

in option d, B changes ==> only in option c ...nothing changes ==>

4) The wing area doesnt change ==> b (zero) is the correct answer

solving first 4 subparts only

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