AP EAMCET2001PhysicsMagnetic Effects of Current
A wire in the form of a square of side a carries a current i . Then, the magnetic induction at the centre of the square is (Magnetic permeability of free space = ₀ )
Options
- A_d i 2 a
- Bj 2 a
- C2 2 _d a
- D₀ j 2
Correct answer
C. 2 2 _d a
Step-by-step solution
Magnetic field produced by side ' A B^ at the centre. aligned B₁ & = ₀ j^j 4 r ( ₁+ ₂ ) & = _ ^j 4 a 2 ( 45^ + 45^ ) & = 2 ₀ i 4 a ( 1 2 + 1 2 ) = 2 2 ₀ i 4 a aligned Total magnetic field at the centre aligned B & =4 B₁ & =4 ( 2 2 ₀ i 4 a ) & = 2 2 ₀ i a aligned