Dude, it's OK to be new. Everyone is at one point in time. No need to feel sorry.
A Capacitor filter at the output of a bridge rectifier would give a DC Voltage of value equal to V
peak of the input waveform. In this case for a 12V transformer it would be 16.92V.
The Vdc that you have as 2V
peak/pi is the average voltage of the rectified (but not filtered) waveform.
Since your load current requirements are not that high, and you need a fixed voltage, I suggest that you go for the following setup.
Get a 15-0-15 Transformer.
Make a Center-Tapped or a ridge Rectifier to get a V
peak = 15√2 = 21.21V
Put a Capacitor Filter, an electrolytic capacitor of value 100µF would be fine. Put a ceramic capacitor of say 100nF in parallel. This has better high frequency response.
Now you have a 21.21V DC Voltage with some ripples.
Get the Voltage regulator IC LM7815. This is a fixed Voltage regulator for 15V. It requires a minimum of 17.7V at the input which is why you need a transformer with higher secondary voltage. This IC is easily available. It has a maximum current of about 1A which should be sufficient.
Refer to the Datasheet of the IC at it will tell you about the capacitors required at its output. You can go for the same 100µF + 100nF at the output too.
Now you have a 15Vdc fixed Voltage capable of supplying up to 1A.
You should note that the IC might get hot if you are supplying 0.5A or more for a long time. You can attach a heat sink to the IC to provide for heat dissipation. Any normal size heat sink would do for your application.
Your circuit should look something like the one shown
here.
This is one of the simplest method of achieving your target. Note that this technique is very inefficient. The regulator has an input of about 21V and an output of 15V. A difference of 6V is lost on the regulator itself. If you are consuming 0.5A, this would mean an output power of 0.5A * 15V = 7.5W and input power of 21V * 0.5A = 10.5W. The difference of 3W is lost in the regulator itself.
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Another option to improve efficiency is to use a 15-0-15 transformer + Rectifier + Capacitor Filter followed by a Low Dropout Regulator such as the following
https://www.linear.com/product/LT3085
I'm not sure of its availability. If not available, you can easily build one of your own using an Opamp, a PMOSFET, a Zener and some resistors though.