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AP EAMCET · PHYSICS · Magnetic Effects of Current

Two infinite length wires carry currents 8 A and 6 A respectively and are placed along X and Y axes respectively. Magnetic field at a point \(\mathrm{P}(0,0, d)\) will be

  1. A \(\frac{7 \mu_0}{\pi d}\)
  2. B \(\frac{10 \mu_0}{\pi d}\)
  3. C \(\frac{14 \mu_0}{\pi d}\)
  4. D \(\frac{5 \mu_0}{\pi d}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{5 \mu_0}{\pi d}\)

Step-by-step Solution

Detailed explanation

\begin{aligned} & \mathrm{I}_1=8 \mathrm{~A}, \mathrm{I}_2=6 \mathrm{~A} \\ & \mathrm{r}=\mathrm{d} \\ & \therefore \overrightarrow{\mathrm{B}}_1=\frac{2 \mathrm{kI}_1}{\mathrm{r}} \hat{\mathrm{i}} \\ & \therefore \overrightarrow{\mathrm{B}}_2=-\frac{2 \mathrm{kI}_2}{\mathrm{r}}…

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