A coil of inductance L is divided into 6 equal parts. All these parts are connected in parallel. The resultant inductance of this combination is

Step-by-step solution

The inductance of a coil is aligned & L = M ₀ ~N ^2 ~A 1 ~L ~N ^2 1 & ~L ₂ ~L ₁ = ( N ₂ ~N ₁ )^2 ( l ₁ l ₂ ) aligned When the coil is divided into 6 equal parts, then aligned & N₂= N₁ 6 , 1₂= l₁ 6 & L₂=4 ( N₁ 6 N₁ )^2 ( l ₁ l₁ 6 )= L₁ 6 = L 6 aligned For parallel combination, 1 L_e = ( 6 L ) 6= 36 L L_e= L 36