Question

Figure shows the variation of inductive reactance X_L of two ideal inductors of inductance L₁ and L₂, with angular frequency o. The value of `L_1/L_2` is:

पर्याय

• `sqrt3`

• `1/sqrt3`

• 3

• `1/3`

Answer 1

`bb(1/3)`

Explanation:

The inductance value is indicated by the slope of the graph between the inductive reactance X_L and the angular frequency (ω). Additionally, the slope can be found using tan θ, where θ is the angle formed by the slope of the XL - ω graph and (ω). Based on the graph,

`L_1 = tan 30^\circ = 1/sqrt3`

and `L_2 = tan 60^\circ = sqrt3`

So, `L_1/L_2 = (1/sqrt3)/sqrt3 = 1/3`