GATE 2022 : Network Theory Quiz 4

Find the total inductance of the three series connected coupled coils in figure below:

L₁ = 1H ; L₂ = 2H ; L₃ = 5H

M₁₂ = 0.5 H, M₂₃ = 1H ; M₁₃ = 1H

A low-pass filter with a cut-off frequency of 30 Hz is cascaded with a high-pass filter with a cut-off frequency of 20 Hz. The resultant system of filters will function as

The filters F₁ and F₂ having characteristics as shown in figure (A) and (B) are connected as shown in figure(c).

 


The cut-off frequencies of F₁ and F₂ are f₁ and f₂ respectively. If f₁ < f₂, the resultant circuit exhibits the characteristic of a

Two identical coils of negligible resistance when connected in parallel across a 150 V, 50 Hz source, draws a current of 8 A. When the terminals of one the coil is reversed, then current drawn is 10 A. Find the coefficient of coupling between the two coils is _________.

For the given circuit determine the coefficient of coupling k, for series resonance condition.

An RC coupling circuit is an example of what type of filter?