Electronic – How to sense sinusoidal voltage/current on a resistor

currentcurrent measurementcurrent-signalsensorvoltage measurement

I have an experimental circuit like below:

My aim is to measure maximum or effective value the current on the load.
The current sensor is a simple \$0.1 \Omega \$, \$5W\$ resistor.

I filtered the voltage on the current sensor with the following cascaded RC filter:

The output of the filter show no signal (\$0V\$). This was an expected result since I was applying a sinusoidal signal to filter like this.

I can't use a diode at the filter stage since the voltage on the current sensor is at the level of millivolts.

Is there any simple trick for reading the voltage on the current sensor? If possible, I don't want to change the main structure of this circuit too much.

EDIT:

Assuming that both alternances of the AC signal have the same shape on load, I can calculate the current on the load by only considering the positive alternance.

Notes:

1. AC frequency is 50Hz.
2. I'm using the transformer to protect my oscilloscope.
3. At the filter stage, all resistors and capacitor have the same values (\$R=100k \Omega , C=1 \mu F\$).
4. The ADC is on a microcontroller (maybe I can add an opamp beforehand for scaling), so I can do any algebraic manipulations on the sensed value.
5. The load is generic. I want it to be as wide range as possible. I'm using a \$60W\$ lamp for this experiment.

Another reason (apart from being a symmetrical signal) for not getting a reading is that the voltage across the sensing resistor is too low. A 60W bulb at 230V gives 250mA. Across a 0.1\$\Omega\$ resistor this results in just 25mV. You'll need an amplifier, which can be as simple as a basic opamp circuit.