A long straight wire along the $$z-axis$$ carries a current I in the negative z direction. The magnetic vector field B→ at a point having coordinates (x$$, $$y) in the z $$=$$ $$0$$ plane is

Question

A long straight wire along the $$z-axis$$ carries a current I in the negative z direction. The magnetic vector field B→ at a point having coordinates (x$$, $$y) in the z $$=$$ $$0$$ plane is

Infinity Learn · Accepted Answer

Magnetic field at Pis B→, perpendicular to OP in the direction shown in figure.So,  B→ $$=$$ B $$sin$$ θ$$i^$$  −  B $$cos$$ θ $$j^Here$$  $$B=$$ μ$$02$$π  Irsin θ  $$=$$  yr  and  $$cos$$ θ $$=$$ xr∴  B→$$=$$μ$$02$$π . $$Ir2$$  $$yi^$$−$$xj^$$  $$=$$  μ$$0Iyi^$$−$$xj^$$ $$2$$π $$x2$$ $$+$$ $$y2$$                                                 as  $$r2$$ $$=$$  $$x2$$ $$+$$  $$y2$$

A long straight wire along the z-axis carries a current I in the negative z direction. The magnetic vector field $\vec{B}$ at a point having coordinates (x, y) in the z = 0 plane is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A long straight wire along the z-axis carries a current I in the negative z direction. The magnetic vector field B→ at a point having coordinates (x, y) in the z = 0 plane is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A long straight wire along the z-axis carries a current I in the negative z direction. The magnetic vector field $\vec{B}$ at a point having coordinates (x, y) in the z = 0 plane is