. Electronic apparatus for biological research . R--U/CJV2 R=(L/C)^ Figure At CO = 2l(LCy'", Zq becomes zero because a series resonance occurs in the filter between C, and the two inductances L/2 in parallel (the net inductance is L/4, so the resonant frequency should be at co = IKLC/Ay^^ = 2j{LCy^ which is right). This frequency is co^, the cut-oflF frequency for the filter; we dignify it with the name cut-off rather than turn-over because the transmission characteristic of L-C filters is much squarer than that of R-C filters, as we shall see. Combining the equations (Oq = 2l{LCy'^
. Electronic apparatus for biological research . R--U/CJV2 R=(L/C)^ Figure At CO = 2l(LCy'", Zq becomes zero because a series resonance occurs in the filter between C, and the two inductances L/2 in parallel (the net inductance is L/4, so the resonant frequency should be at co = IKLC/Ay^^ = 2j{LCy^ which is right). This frequency is co^, the cut-oflF frequency for the filter; we dignify it with the name cut-off rather than turn-over because the transmission characteristic of L-C filters is much squarer than that of R-C filters, as we shall see. Combining the equations (Oq = 2l{LCy'^ and R = {L/Cy^^ gives us 2R , 2 L = — and C = —- (Oq c^c^ as expressions for the values of our filter elements. Let us see how they will behave. / /
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