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A long straight wire of length 2 m and mass 250 g is suspended horizontally in a uniform horizontal magnetic field of 0.7 T. The amount of current flowing through the wire will be (g=9.8 m s⁻²):

Asked in NEET 2023 Manipur · Force on a wire in a field

Answer: (4) 1.75 A

Step-by-step solution

Given: L=2 m, m=0.250 kg, B=0.7 T horizontal, g=9.8 m s⁻².

Idea: "suspended" means the magnetic force carries the whole weight, so the wire hangs with no support.

Weight: mg=0.250×9.8=2.45 N.

Magnetic force on the wire, with the field perpendicular to it: F=BIL.

Setting them equal: BIL=mg, so I=(mg)/(BL).

I=(2.45)/(0.7×2)=(2.45)/(1.4).

I=1.75 A.

Why the other options are wrong

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