Question

The self-inductance of two solenoids A and B having equal length are same. If the number of turns in two solenoids A and B are 100 and 200 respectively,the ratio of the radii of their cross-section will be ........,choose the correct option from the given options.
(A) 2:1
(B) 1:2
(C) 1:4
(D) 4:1

Answer 1

Dear Student,

◆ Answer - (A)

r1 : r2 = 2 : 1

◆ Explanation -

Given that self inductance of both solenoids is same.

L1 = L2

μₒ.N1².A1/l = μₒ.N2².A1/l

N1².πr1² = N2².πr2²

r1²/r2² = N2²/N1²

r1/r2 = N2/N1

r1/r2 = 200/100

r1/r2 = 2

Therefore, ratio of radii of cross-section of solenoids is 2:1.

Thanks buddy...