Question

An element ∆l= ∆xI
is placed at the
p
origin (as shown in
figure) and carries a
current / = 2 A.
Find out the
magnetic field at a
point P on the
Y-axis at a distance z
of 1.0 m due to the
element ∆r = w cm. Also, give the direction
of the field produced.​

Answer 1

$\sf {Answer - 2\times 10^{-9}T\ in +z-direction}$

$\fbox {Solution :}$

$\sf {Here, Id \vec l=I \Delta x \hat i, where I=2A,}$

$\sf {\Delta x = 1 cm = 10^{-2}, r=1 \times 0m\ and\ \vec r=1\times 0 \hat j}$

$\sf {d \vec B=\frac{mu_0}{4\pi} \frac{Id\vec l\times \vec r}{r^3}=\frac{mu_0}{4\pi}\frac{I \Delta x \hat i\times(1\times 0\hat j)}{r^3}}$

$\sf {=\frac{mu_0}{4pi} \frac{I \Delta\times x1\times 0}{r^3} (\hat i \times \hat j)\frac{mu_0}{4pi}=\frac{I\Delta \times x1\times 0}{r^3} \times \hat k}$

$\sf {=10^{-7}\times \frac{2\times 10{^-2}\times 1\times 0}{1^3} \hat k}$

$\sf {2\times 10^{-9}T\ in +z-direction}$

$\rule {130}{2} \ Be\ Brainly\ \star$