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MHT CET · Physics · Magnetic Effects of Current

Two very long straight conductors (wires) are set parallel to each other. Each carries a current ' \(I\) ' in the same direction and the separation between them is ' 2r '. The intensity of the magnetic field at point ' \(P\) ' (as shown in the figure) (\(\mu_0=\) permeability of free space) is
image

  1. A \(\frac{2}{3} \frac{\mu_0 \mathrm{I}}{\pi \mathrm{r}}\)
  2. B \(\frac{3}{8} \frac{\mu_0 \mathrm{I}}{\pi \mathrm{r}}\)
  3. C \(\frac{1}{4} \frac{\mu_0 \mathrm{I}}{\pi \mathrm{r}}\)
  4. D \(\frac{\mu_0 \mathrm{I}}{2 \pi \mathrm{r}}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{2}{3} \frac{\mu_0 \mathrm{I}}{\pi \mathrm{r}}\)

Step-by-step Solution

Detailed explanation

\(B_1 = \frac{\mu_0 I}{2 \pi (3r)}\) \(B_2 = \frac{\mu_0 I}{2 \pi r}\)