Question

Two inductors ` underset(1)(L) `and ` underset(2)(L) ` are connected in parallel and a time varying current flows as shown in figure. Then the ratio currents ` underset(1)(l) ` / `underset(2)(l) ` at any time t is
A. ` underset(1)(L) / underset(2)(L) `
B. `underset(2)(L) / underset(1) (L)`
C. `underset(1)(L) / (underset(1)(l) + underset(2)(l) )^(2) `
D. `underset(2)(L) / (underset(1)(l) +underset (2)(l) )`

Answer 1

Correct Answer - B
As, I `propto` 1/`omega`L `therefore` `underset(1)(I)` / `underset(2)(I)` = `omega``underset(1)(L)`/ `omega``underset(2)(L)` = `underset(1)(L)`/`underset(2)(L)`
`therefore` `underset(1)(I)`/`underset(2)(I)` = `underset(L2)(X)` / `underset(L1)(X)` = `underset(2)(L)`/`underset(1)(L)`