# GATE Papers >> EEE >> 2015 >> Question No 124

Question No. 124

The filters F1 and F2 having characteristics as shown in Figures (a) and (b) are connected as shown in Figure (c).

The cut-off frequencies of F1 and F2 are ${f}_{1}$ and ${f}_{2}$ respectively. If ${f}_{1}$< ${f}_{2}$, the resultant circuit exhibits the characteristics of a

##### Answer : (B) Band-stop filter

Solution of Question No 124 of GATE 2015 EEE Paper

To check the type of system :

we apply a delta function at input ${\mathrm V}_\mathrm i=\mathrm\delta(\mathrm t)$

$\mathrm V(\mathrm F)=1\mathrm{VF}$

So voltage at A will be same as voltage at output ${\mathrm V}_0$.

${\mathrm V}_\mathrm A$ will be equal to voltage due to ${\mathrm F}_1+$ voltage due to ${\mathrm F}_2$.

Since ${\mathrm f}_1<{\mathrm f}_2,$ So ${\mathrm V}_\mathrm A/{\mathrm V}_\mathrm i$ will be

${\mathrm V}_0/{\mathrm V}_\mathrm i$ will be

so, the system work as a band stop filter.

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