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Is the purpose of the capacitor, C1, to filter out any possible DC component that the input signal has?

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You guessed correctly. This is often called an AC coupling capacitor. It will remove any DC bias going into the second amplifier.

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  • \$\begingroup\$ thank you for the answer, but is it just to filter DC or can it be used to filter certain frequencies? \$\endgroup\$ – Pedro Apr 3 at 21:16
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    \$\begingroup\$ It's also called a "DC blocking capacitor". It can only filter "certain frequencies" to the extent that the product \$C_1 R_5\$ determines the frequency range where it transitions from blocking to conducting. \$\endgroup\$ – TimWescott Apr 3 at 21:18
  • \$\begingroup\$ @Pedro It would be helpful if you told us where you got the schematic. \$\endgroup\$ – DerStrom8 Apr 3 at 21:20
  • \$\begingroup\$ @DerStrom8 the schematic is from a list of exercises my professor provided \$\endgroup\$ – Pedro Apr 3 at 21:24

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