Question 303: Magnetism and Matter

Question

Two identical circular wires of radius $20 \mathrm{~cm}$ and carrying current $\sqrt{2} \mathrm{~A}$ are placed in perpendicular planes as shown in figure. The net magnetic field at the centre of the circular wires is __________ $	imes 10^{-8} \mathrm{~T}$.
(Take $\pi=3.14$)
![](https://app-content.cdn.examgoal.net/fly/@width/image/1lh30jlo4/81246d74-28b1-4a6a-939f-f68ca6337e06/c675f340-e71d-11ed-ab3e-bf3b57063390/file-1lh30jlo5.png?format=png)

Accepted Answer

According to question,
$\begin{aligned} \mathbf{B}_{	ext {net }} & =\frac{\mu_0 i}{2 r} \hat{\mathbf{i}}+\frac{\mu_0 i}{2 r} \hat{\mathbf{j}}=\frac{\mu_0 i}{2 r} \hat{\mathbf{k}} \sqrt{2} \\ & =4 \pi 	imes 10^{-7} 	imes \sqrt{2} 	imes \sqrt{2} 	imes \frac{1}{2 	imes 0.2} \\ & =2 	imes 3.14 	imes 10^{-6}=628 	imes 10^{-8} \mathrm{~T}\end{aligned}$
![](https://app-content.cdn.examgoal.net/fly/@width/image/1lh30jlo4/81246d74-28b1-4a6a-939f-f68ca6337e06/c675f340-e71d-11ed-ab3e-bf3b57063390/file-1lh30jlo5.png?format=png)

Magnetism and Matter

Two identical circular wires of radius 20 \mathrm{~cm} and carrying current \sqrt{2} \mathrm{~A} are placed in perpendicular planes as shown in figure. The net magnetic field at the centre of the circular wires is __________ \times 10^{-8} \mathrm{~T}. (Take \pi=3.14)

Integer / Numeric Answer Type