The components in the circuit given below are ideal. If {R}=2 {k} Ω and {C}=1 \mu {F}, the -3 dB cut-off frequency of the circuit in {Hz} is

GATE Electronics and Communications (EC) 2020 Solved Papers

Question : 62 of 65

Marks: +1, -0

The components in the circuit given below are ideal. If

{R}=2 {k} Ω

and

{C}=1 µ {F}

, the

-3

dB cut-off frequency of the circuit in

{Hz}

Solution:

The circuit show is LPF
Applying virtual ground,

{I}= {I}_{1}+ {I}_{2}

\;{ {V}_{ {i}}-0}/{ {R}}=\;{0- {V}_{0}}/{ {R}}+\;{0- {V}_{0}}/{1 {/} {CS}}

=- {V}_{0}[\;{1}/{ {R}}+ {CS}]

\;{ {V}_{0}}/{ {V}_{ {i}}}=[\;{1}/{1+ {RCS}}]

∴ ω=\;{1}/{ {RC}}

⇒ {f}=\;{1}/{2 π {RC}}=\;{1}/{2 π(2 × 10^{3})(1 × 10^{-6})}=79.58 {Hz}

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