I measure a capacitor \$C_1\$ with an instrument that has a tolerance of measurement \$\pm 5\%.\$ I do the same with another cap \$C_2\$. Then I put \$C_1\$ and \$C_2\$ in parallel (values add up) and measure both of them with the same instrument. Did I just dropped the tolerance to \$\pm 2.5\%\$? Can I compute (manually calculate) this way a new value of both \$C_1\$ and \$C_2\$ with a higher precision? (\$2.5\%\$)
I've just done some math and it seems unlikely. It's counterintuitive! (sad face). So here's the thing. When I ADD on paper the values of \$C_1\$ and \$C_2\$, their tolerances don't add up, contrary to what I thought. It still remains \$5\%\$. Then when I MEASURE the same capacitors in parallel, I get the MEASURED value of the sum, with the same tolerance \$5\%\$ as the one CALCULATED by hand on paper. So I win nothing. I get nothing.
However, my intuition tells me that all this is wrong. My intuition tells me that I CAN INCREASE THE PRECISION OF MEASUREMENT by multiple configurations of same two capacitors.
Hear me out. All the theory books tells us, that in order to increase the precision of a measured thing, you measure it repeatedly and average out the results. The more measurements, the higher the precision, the closer you get to the REAL VALUE OF THAT THING. That is in theory.
However, in practice, as usual, things are slightly different. I want to increase the precision of measurement of 2 capacitors with a digital \$LC\$ meter model LC100-S which has a tolerance of every measurement within \$5\%\$ of the REAL VALUE (\$+\$ or \$-5\%\$).
If I measure the same capacitor 10 times, I get the same value each and every time. So you can throw the theory books out the window on this one. Contrary to what the math tells us, my intuition tells me I CAN INCREASE THE PRECISION OF MEASUREMENT and decrease the tolerance from \$5\%\$ to a much lower value. If I measure the two capacitors \$C_1\$ and \$C_2\$ in parallel and in series, I can determine their values and average those values with the values measured individually. Thus I get a much closer value to the TRUE REAL value. WILL IT WORK? How do I do it?