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

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)

Consider a thin metallic sheet perpendicular to the plane of the paper moving with speed v in a uniform magnetic field

Consider a thin metallic sheet perpendicular to the plane of the paper moving with speed v in a uniform magnetic field

Quantrex Academy · Accepted Answer

Correct answer: B. σ _ 1 = ϵ _ 0 vB, σ _ 2 = - ϵ _ 0 vB

σ _ 1 = - σ _ 2 [due to magnetic force] E = (σ)/(ε0) = vB σ = ε _ 0 vB

Consider a thin metallic sheet perpendicular to the plane of the...

Options

Correct answer

Step-by-step solution

More from Electromagnetic Induction