AP EAMCET201823 Apr 2018Morning ShiftPhysicsMagnetic Effects of CurrentActual
A long straight wire carrying electric current ' i is bent at its mid-point to form an angle of 45^ as shown in the figure. Magnetic field at a point P at a distance d from the point Q of bending is
Options
- A₀ i 4 d [ 2 -1]
- B₀ i 2 d [ 2 -1]
- C₀ i 4 d
- D₀ i 2 d
Correct answer
A. ₀ i 4 d [ 2 -1]
Step-by-step solution
Magnetic field at a point from a current carrying conductor making angle ₁ and ₂ with the ends of wire is given using Bio-Savart's law as aligned B & = ₀ I 4 r ( ₁+ ₂ ) & = ₀ I 4 ( d 2 ) [ 90^ + 135^ ] & = 2 ₀ I 4 d (1- 1 2 )= ₀ I 4 d ( 2 -1) aligned