Two inductors A and B when connected in parallel are equivalent to a single inductor of inductance 1 . 5 H , and when connected in series are equivalent to a single inductor of inductance 8 H . Find the difference in the inductances of A and B .

Step-by-step solution

When inductors are connected in parallel, 1 1 . 5 = 1 L 1 + 1 L 2                   ⋯ 1 When inductors are connected in series, 8 = L 1 + L 2 ⇒ L 1 = 8 - L 2                 ⋯ 2 Putting the result of equation (2) in (1), 1 1 . 5 = 1 8 - L 2 + 1 L 2 L 2 2 - 8 L 2 + 12 = 0 L 2 = 6   H   or   2 H  and  L 1 = 2   H   or   6   H Thus difference between the two inductance val