JIPMER2016PhysicsElectromagnetic Induction
In the given figure what will be the coefficient of mutual inductance
Options
- A₀ a 2 (1+ a 2 b )
- B₀ a (1+ b 2 a )
- C₀ a 2 (1+ a b )
- D₀ a 2 (1+ b a )
Correct answer
C. ₀ a 2 (1+ a b )
Step-by-step solution
Magnetic field due to wire aligned B & = ₀ 2 x i d A & =a d x aligned and d =B d A On integrating both sides, aligned d & = B d A & = ₀ i 2 _b^ a+b a d x x & = . ₀ i 2 a x |_b ^ a+b & = ₀ i 2 a[ (a+b)- b] & = ₀ i 2 a [ (1+ a b ) ]=M i aligned where, M= coefficient of mutual inductance M= ₀ a 2 (1+ a b )