I was playing with electronics and testing the equation:
$$X = \frac{1}{2\pi f C}$$
where \$X\$ is the resistance of the capacitor, \$f\$ is the frequency, \$C\$ is the capacitance.
The supply is just a 220V/10V transformer without a rectifier, so it produces an AC current. Frequency is 50-60 Hz.
I calculated \$X\$ from the equation and it is equal to 2.8 K .
I wanted to test my calculations so I measured the AC voltage on both \$R\$ and \$C\$, and I would expect that the ratio between voltages will indicate the ratio between resistances as.
I noticed something strange, which is the sum of the voltage across \$R\$ and the voltage across \$C\$ is really greater than the supply voltage: \$V_C + V_R = 14.5\$ volts !! And when I measure the total voltage across \$R\$ and \$C\$ together it is 10.5 V.
Also, the ratio between voltages does not indicates the ratio between resistances.
I made this experiment with different resistors and caps but I got the same issue.
Why is the sum of voltages is greater than the voltage of the supply? Am I missing something?
simulate this circuit – Schematic created using CircuitLab