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If I have an input signal, \$v_{in} = A\sin(2 \pi ft)\$, and I am wanting to double the signal's amplitude so that my output then becomes \$v_{out} = 2A\sin(2 \pi ft + \theta)\$, how might one achieve this using eletrical circuit components?

Any help would be greatly appreciated!

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    \$\begingroup\$ How about using a 1:2 transformer? \$\endgroup\$
    – user2233709
    Commented Oct 22, 2017 at 22:35
  • \$\begingroup\$ at what frequency, how small is acceptable for theta \$\endgroup\$
    – user16222
    Commented Oct 22, 2017 at 22:48

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enter image description here

Figure 1. An op-amp non-inverting amplifier. Source: ECE Tutorials.

If your signal is withing +/- 5 V you can use a standard op-amp non-inverting amplifier powered from +/- 15 V supply.

Unfortunately you haven't supplied any details on voltage or frequency range.

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  • \$\begingroup\$ Hi there! Just edited my original post. The voltage range is: 1 < A < 4V in my original vin equation, and 20 < f < 20 kHz for the frequency range :) \$\endgroup\$
    – user166576
    Commented Oct 22, 2017 at 22:59
  • \$\begingroup\$ Then you're fine. That would be no problem to most operational amplifiers and you won't have any phase-shift problems. A little web research will give you plenty of designs. Make sure you add the decoupling capacitors to the supply pins to minimise noise. I've added a link to the article the illustration came from. \$\endgroup\$
    – Transistor
    Commented Oct 22, 2017 at 23:07

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