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AIIMS 201926 May
Exam
AIIMS
Year
2019
Date
26 May
Subject
Physics
Chapter
Magnetic Effects of Current

AIIMS 2019 · 26 May · Physics · Magnetic Effects of Current

Find force per unit length at P .

Find force per unit length at PP. Find force per unit length at P .

Options

  1. A10−4 m10^{-4} \mathrm{~m}
  2. B10−4 N m−110^{-4} \mathrm{~N} \mathrm{~m}^{-1}
  3. C10−4 N m−110^{-4} \mathrm{~N} \mathrm{~m}^{-1}
  4. D0.3 N m−10.3 \mathrm{~N} \mathrm{~m}^{-1}

Correct answer

B. 10−4 N m−110^{-4} \mathrm{~N} \mathrm{~m}^{-1}

Step-by-step solution

Let length of wire element at PP is dd. Magnetic field at PP, B=μ0i4πr+0+μ0i4πrB=μ0×54π×5×10−2×2=μ0×2004πB=2×10−5 TF=iBdl⇒Fdl=iB=5×2×10−5=10−4Nm−1\begin{aligned} & B=\frac{\mu_0 i}{4 \pi r}+0+\frac{\mu_0 i}{4 \pi r} \\ & B=\frac{\mu_0 \times 5}{4 \pi \times 5 \times 10^{-2}} \times 2=\frac{\mu_0 \times 200}{4 \pi} \\ & B=2 \times 10^{-5} \mathrm{~T} \\ & F=i B d l \Rightarrow \frac{F}{d l}=i B=5 \times 2 \times 10^{-5}=10^{-4} \mathrm{Nm}^{-1}\end{aligned}
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