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In a thin rectangular metallic strip a c...

In a thin rectangular metallic strip a constant current `I` flows along the positive `x-direction , as shown in the figure. The length , width and thickness of the strip are `l, w and d`, respectively.
A uniform magnetic field `vec(B)` is applied on the strip along the positive `y- direction` . Due to this, the charge carriers experience a net deflection along the `z- direction` . This results in accumulation of charge carriers on the surface `PQRS` ansd apperance of equal and opposite charges on the face opposite to `PQRS`. A potential difference along the `z-direction` is thus developed. Charge accumulation contiues untill the magnetic force is balanced by the electric force. The current is assumed to be uniformly distributed on the cross- section of the strip and carried by electrons.
Consider two different metallic strips `(1 and 2)` of same dimensions `n_(1) and n_(2)`, repectrively . Strip 1 is placed in magnetic field `B_(1)` and strip 2 is placed in magnetic field `B_(2)` , both along positive ` y- directions`. Then ` V_(1) and V_(2)` are the potential differences developed between `K and M` in strips 1 and 2 , respectively . Assuming that the current `I` is the same for both the strips, the correct option(s) is (are)

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In a thin rectangular metallic strip a constant current I flows along the positive x-direction , as shown in the figure. The length , width and thickness of the strip are l, w and d , respectively. A uniform magnetic field vec(B) is applied on the strip along the positive y- direction . Due to this, the charge carriers experience a net deflection along the z- direction . This results in accumulation of charge carriers on the surface PQRS ansd apperance of equal and opposite charges on the face opposite to PQRS . A potential difference along the z-direction is thus developed. Charge accumulation contiues untill the magnetic force is balanced by the electric force. The current is assumed to be uniformly distributed on the cross- section of the strip and carried by electrons. Consider two different metallic strips (1 and 2) of the same material . Their lengths are the same,widths are w_(1) and w_(2) and thickness are d_(1) and d_(2) respectively. Two points K and M are symmetrically located on the opposite faces parallel to the x-y plane ( see figure) . V_(1) and V_(2) are the potential differences between K and M in strips 1 and 2 , respectively . Then, for a given current I flowing through them in a given magnetic field strength B , the correct statement(s) is (are)

In a thin rectangular metallic strip a constant current I flows along the positive x-direction , as shown in the figure. The length , width and thickness of the strip are l, w and d , respectively. A uniform magnetic field vec(B) is applied on the strip along the positive y- direction . Due to this, the charge carriers experience a net deflection along the z- direction . This results in accumulation of charge carriers on the surface PQRS ansd apperance of equal and opposite charges on the face opposite to PQRS . A potential difference along the z-direction is thus developed. Charge accumulation contiues untill the magnetic force is balanced by the electric force. The current is assumed to be uniformly distributed on the cross- section of the strip and carried by electrons. Consider two different metallic strips (1 and 2) of the same material . Their lengths are the same,widths are w_(1) and w_(2) and thickness are d_(1) and d_(2) respectively. Two points K and M are symmetrically located on the opposite faces parallel to the x-y plane ( see figure) . V_(1) and V_(2) are the potential differences between K and M in strips 1 and 2 , respectively . Then, for a given current I flowing through them in a given magnetic field strength B , the correct statement(s) is (are)

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