AP EAMCET2012PhysicsMagnetic Effects of Current
A long curved conductor carries a current I (I is a vector). A small current element of length d l , on the wire induces a magnetic field at a point, away from the current element. If the position vector between the current element and the point is r , making an angle with current element then, the induced magnetic field density; d B (vector) at the point is ( ₀= permeability of free space)
Options
- A₀ I d l r 4 r (perpendicular to the current element d l )
- B₀ I r d l 4 r^2 (perpendicular to the current element d l )
- C₀ I d l r (perpendicular to the plane containing the current element and position vector r )
- D₀ I d l 4 r^2 (perpendicular to the plane containing current element and position vector r )
Correct answer
B. ₀ I r d l 4 r^2 (perpendicular to the current element d l )
Step-by-step solution
The magnetic field d B= ₀ I r d l 4 r^2