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Magnetics question

2025 · 3 Apr · Shift 1 · Q75
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Magnetics question

2025 · 3 Apr · Shift 1 · Q75

JEE MainPhysicsMagneticsNumerical+4 / −1
A 4.0 cm long straight wire carrying a current of 8 A is placed perpendicular to a uniform magnetic field of strength 0.15 T . The magnetic force on the wire is ‾\underline{\hspace{2cm}}​ mN .
Numerical answer
View written solutionFree

Correct answer: 48

  1. Use the magnetic force formula on a current-carrying wire

For a straight wire in a magnetic field,

F=BILsin⁡θF = BIL\sin\thetaF=BILsinθ

where:

  • B=0.15 TB = 0.15\,\text{T}B=0.15T
  • I=8 AI = 8\,\text{A}I=8A
  • L=4.0 cm=0.040 mL = 4.0\,\text{cm} = 0.040\,\text{m}L=4.0cm=0.040m
  • θ=90∘\theta = 90^\circθ=90∘ since the wire is perpendicular to the field

So,

sin⁡90∘=1\sin 90^\circ = 1sin90∘=1

  1. Substitute the values

F=0.15×8×0.040×1F = 0.15 \times 8 \times 0.040 \times 1F=0.15×8×0.040×1

F=0.048 NF = 0.048\,\text{N}F=0.048N

  1. Convert to milli-newton

Since

1 N=1000 mN1\,\text{N} = 1000\,\text{mN}1N=1000mN

therefore,

0.048 N=48 mN0.048\,\text{N} = 48\,\text{mN}0.048N=48mN

  1. Final answer

The magnetic force on the wire is

48 mN\boxed{48\,\text{mN}}48mN​

So the required integer answer is:

48\boxed{48}48​

  1. Comparison with stored correct answer

Stored correct answer = 484848

Our derived answer = 484848

They match.

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