Question

Consider the low pass filter RC circuit where Ri+ E E(t) The rise time t, is defined as the time required for a unit step response to go from 10% to 90% of its final value. Show that 0.35 3dB where f3dB-the 3dB bandwidth (in Hz) of the filter 2TTRC

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luhon ア Etd Ex prusion Unit Shap Res pon Kange Fmom 10% toq0% of s iral Val To Pnove Rse ime 0-35 3dBRepen e o 2 tS Here, RC Time Constant (T) Eton 10 % ven That No in above eajuaton t,--t In (1-0-1) :-t (-o. 10536 ) hmafona 0.10536 τCase (ii): Fon 90% biven a Substitute h aluu in eoy t--2, .302 s) = 2.3025 τ TenaSubstitute the values in eve 대: (2, . 30 25 τ -0-10536T) τ (2.3025-o-los 36) 219TT 34B Substitute The latton in eaj 6 3dB t0.

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