Answer:
ratio = 744.68
Explanation:
Inductance of first inductor L₁ = 3.5 x 10⁻³ H
Inductance of second inductor L₂ = 4.7 x 10⁻⁶ H
Let current i is flowing in both of them . This current produces magnetic field in them due to which magnetic energy is stored in them . Magnetic energy of an inductor
= 1/2 L i²
where L is inductance and i is current flowing in it
Magnetic energy U₁ in first inductor
U₁ = 1/2 x3.5 x 10⁻³ x i²
Magnetic energy U₂ in second inductor
U₂ = 1/2 x4.7 x 10⁻⁶ x i²
U₁ / U₂ = (1/2 x3.5 x 10⁻³ x i²) / ( 1/2 x4.7 x 10⁻⁶ x i² 3.5 x 10³ / 4.7
= 744.68
