Tuesday, 24 March 2015

active filter - Finding the cut-off frequency


Find the cut-off frequency of this filter:


schematic



My attempt:


H (ω)=R1+jωLR1+R2+jωL=R1+jωLR1+R2+jωLR1+R2jωLR1+R2jωL= R21+R1R2+(ωL)2+jωLR2(R1+R2)2+(ωL)2


So when you're looking for the cut-off frequency you can say:


(H (ω))=(H (ω))


So we get:


R21+R1R2+(ωL)2=ωLR2 (ωL)2ωLR2+R21+R1R2=0 ω2L2ωLR2+R21+R1R2=0 ω=LR2±(LR2)24L2(R21+R1R2)2L2 ω=LR2±(LR2)24L2(R21+R1R2)2L2


Am I doing something wrong?




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