induced voltage · Physics Brawl 2021 #7

Physics · electromagnetism

Problem

Consider a region with homogeneous magnetic field. The region has a rectangular cross-section with sides a=3.0a = 3.0 m, b=2.0b = 2.0 m and the magnetic induction vector B=1.0⋅10−3B = 1.0·10^{-3} T is perpendicular to this cross-section. We place a straight wire in parallel to the side a, such that its free ends lie outside the region with the magnetic field. We connect these ends to a voltmeter. We then move the wire in uniform linear motion at velocity v=0.20v = 0.20 m·s⁻¹ along the side b, i.e. in a direction perpendicular to the magnetic induction vector and to the side a. What voltage does the voltmeter show when the wire passes through the magnetic field?

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