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AIIMS 201925 May
Exam
AIIMS
Year
2019
Date
25 May
Subject
Physics
Chapter
Magnetic Effects of Current

AIIMS 2019 · 25 May · Physics · Magnetic Effects of Current

A semicircular arc of radius r and a straight wire along the...

A semicircular arc of radius rr and a straight wire along the diameter, both are carrying same current ii. Find out magnetic force per unit length on the small element PP, which is at the centre of curvature. A semicircular arc of radius r and a straight wire along the diameter, both are carrying same current i . Find out

Options

  1. A(μ0i24r)\left(\frac{\mu_0 i^2}{4 r}\right)
  2. B(μ0i22r)\left(\frac{\mu_0 i^2}{2 r}\right)
  3. C(μ0i2r)\left(\frac{\mu_0 i^2}{r}\right)
  4. D(2μ0i2r)\left(\frac{2 \mu_0 i^2}{r}\right)

Correct answer

A. (μ0i24r)\left(\frac{\mu_0 i^2}{4 r}\right)

Step-by-step solution

The magnetic force on a conductor, F=BiℓF=B i \ell Magnetic force per unit length, $\frac{F}{\ell}=B i=\left(\frac{\mu_0 i^2}{4 r}\right)
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