The coefficient of coupling is 0.8 . If the mutual inductance is 8 H , then the values of self-inductances L₁ and L₂ of the coil are

Step-by-step solution

The relation between mutual inductance M , self-inductances L₁ and L₂ , and the coefficient of coupling k is given by M = k L₁ L₂ Substituting the given values M = 8 H and k = 0.8 , we get 8 = 0.8 L₁ L₂ L₁ L₂ = 8 0.8 = 10 Squaring both sides, we obtain L₁ L₂ = 100 Checking the given options, the product of 5 H and 20 H is 100 . Therefore, the values of self-inductances are 5 H and 20 H . Answer: 5 H and 20 H