Consider a thin metallic sheet perpendicular to the plane of the paper moving with speed $v$ in a uniform magnetic field $B$ going into the plane of the paper (see figure). If charge densities $σ_{1}$ and $σ_{2}$ are induced on the left and right surfaces respectively of the sheet, then (ignore fringe effects)

Question

Question diagram: Consider a thin metallic sheet perpendicular to the plane of

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Answer:

B

Solution:

$σ_{1} = - σ_{2}$ [due to magnetic force]

$E = \frac{σ}{ε_{0}} = vB$

$σ = ε_{0} vB$

TestHub · Accepted Answer

σ 1 = - σ 2 [due to magnetic force] E = σ ε 0 = vB σ = ε 0 vB

Physics - Magnetism Question with Solution | TestHub

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