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Q.

Charge is sprayed onto a large non conducting belt above the left hand roller. The belt carries charge with a uniform surface charge density σ , as it moves with a speed v between the rollers as shown. The charge is removed by a wiper at right hand roller. For a point just above the sheet mark the correct option.

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a

magnetic field is μ0σv2, out of the plane of the page, parallel to axis of roller.

b

If an electron moves parallel to V just above the sheet it will experience an upward magnetic force.

c

magnetic field is μ0σ, out of the plane of the page, perpendicular to axis

d

electric field is ϵ0σ2perpendicular to the plane of sheet

answer is A, D.

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Detailed Solution

The moving charged belt is equivalent to a current carrying sheet which is carrying current in the direction of its velocity .

Magnetic field B  produced by this belt is parallel to the plane of the belt and perpendicular to the velocity V of the belt  ( out of the plane of the figure ) .

B =μ0K2. Hence K=σV= Current per unit width of the belt

 F=-eVe×B hence upwards

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