AP EAMCET2009PhysicsMagnetic Effects of Current
An infinitely long straight conductor is bent into the shape as shown below. It carries a current of I ampere and the radius of the circular loop is R metre. Then, the magnitude of magnetic induction at the centre of the circular loop is
Options
- A₀ I 2 R
- B₀ n I 2 R
- C₀ I 2 R ( +1)
- D₀ I 2 R ( -1)
Correct answer
D. ₀ I 2 R ( -1)
Step-by-step solution
Magnetic field due to long wire at O point B₁= ₀ 2 ( I R ) (upward direction) Magnetic field due to loop at O point aligned & B₂= ₀ 4 I 2 R R^2 & B₂= ₀ 2 I R (in upward direction) aligned Hence, resultant magnetic field at centre O aligned B & =B₁+B₂ B & = ₀ I 2 R ( +1) T aligned