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TS EAMCET · Physics · Magnetic Effects of Current

The magnitude of the force vector acting on a unit length of a thin wire carrying a current \(I=8 \mathrm{~A}\) at a point \(O\), if the wire is bent as shown in the figure with a radius, \(R=10 \pi \mathrm{cm}\) is

  1. A \(64 \mu \mathrm{N} / \mathrm{m}\)
  2. B \(32 \mu \mathrm{N} / \mathrm{m}\)
  3. C \(20 \mu \mathrm{N} / \mathrm{m}\)
  4. D \(100 \mu \mathrm{N} / \mathrm{m}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(64 \mu \mathrm{N} / \mathrm{m}\)

Step-by-step Solution

Detailed explanation

Given, current flowing through wire, \(I=8 \mathrm{~A}\) and radius of circular wire, \( R=10 \pi \mathrm{cm}=10 \pi \times 10^{-2} \mathrm{~m} \) According to the question, \(\because\) Magnetic field produced by semi-circular current carrying thin wire at centre 0 .…
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