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MHT CET · Physics · Magnetic Effects of Current

A wire has three different sections as shown in figure. The magnitude of the magnetic field produced at the centre ' 0 ' of the semicircle by three sections together is ( \(\mu_0=\) permiability of free space)
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  1. A \(\frac{\mu_0 \mathrm{I}}{4 \mathrm{R}}\)
  2. B \(\frac{\mu_0 \mathrm{I}}{2 \mathrm{R}}\)
  3. C \(\frac{\mu_0 \mathrm{I}}{4 \pi \mathrm{R}}\)
  4. D \(\frac{\mu_0 \mathrm{I}}{2 \pi \mathrm{R}}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{\mu_0 \mathrm{I}}{4 \mathrm{R}}\)

Step-by-step Solution

Detailed explanation

\(B_{straight} = 0\) \(B_{semicircle} = \frac{1}{2} \cdot \frac{\mu_0 I}{2R} = \frac{\mu_0 I}{4R}\)