A plane with a wingspan of 18 m flies thirty degrees downward from due south at

Question

A plane with a wingspan of 18 m flies thirty degrees downward from due south at 200 m/s through a uniform northward magnetic field of 40 microteslas. What voltage difference is induce between the wingtips and which wing is positive? At a location where earth's magnetic field is 100 mu T directed at sixty degrees down from north-east, a man holds a half-meter iron bar level, with the ends east and west, and drops it off the edge of a tall cliff. Give the induced voltage difference between the ends of the bar as it falls as a function of time (neglecting friction) and state which end is positive.

Explanation / Answer

Induced voltage = B*L x v

= 40e-6*18*sin 30 degree*200

= 0.072 V

Eastern wingtip is positive

Induced voltage V = 100e-6* cos 45 degree* cos 60 degree*0.5*9.8t

= 0.000173t V

East end is positive

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