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Byju's Answer

Standard XII

Physics

Flux as the Flow

Consider a th...

Question

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) :

σ_{1} = \frac{- ϵ_{0} v B}{2}, σ_{2} = \frac{ϵ_{0} v B}{2}

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σ_{1} = ϵ_{0} v B, σ_{2} = - ϵ_{0} v B

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σ_{1} = \frac{ϵ_{0} v B}{2}, σ_{2} = \frac{- ϵ_{0} v B}{2}

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σ_{1} = σ_{2} = ϵ_{0} v B

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Solution

The correct option is B $σ_{1} = ϵ_{0} v B, σ_{2} = - ϵ_{0} v B$

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Table-1 Table-2

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The correct option is B σ1=ϵ0vB, σ2=−ϵ0vB

The correct option is B $σ_{1} = ϵ_{0} v B, σ_{2} = - ϵ_{0} v B$