What is Loading on Electric Circuit?

I have mentioned the word Loading, frequently in my posts. In the post- voltage divider, I bring up that the passive filters are subjected to the loading phenomenon. Since I have not explained this term, though I am using it frequently, it needs explanation.
Loading is not to load rounds in the magazine. We do not talk about weapons here. Loading means the effect on the performance of the circuit when another circuit element is attached to its output, in this case, the filter. Let me explain this with an example. I take the RC filter as an example.
Figure 1: RC filter

For simplicity, let it be a resistor. How does the resistor hook to the filter’s output affect the filter’s performance? Calculating the time constant of the circuit, denoted by tau, helps to understand this. Calculating the time constant of this type of circuit is a simple task. You multiply the value of Resistance and Capacitance and get the time constant. Let R=100k \Omega   and C=100nF. You get time constant \tau=10ms .

Figure 2: Thevenized loaded RC circuit

To understand the effect of load on the filter, let us Thevenize the circuit. For Thevenizing the circuit, you have to remove all the sources. As soon as you remove the voltage source (Short circuit the voltage source), you will see that the load resistor and R are in parallel (Figure 2). Their equivalent resistance is 50k\Omega . You see, there is a significant change in the circuit’s equivalent resistance. And the value of the time constant is \tau=5ms. As you all know, the output of this circuit depends on the time constant; you can see that the filter’s performance is affected.

Figure 3: Making the filter active by adding the buffer
A buffer is introduced to the circuit with the intent to make the filter active.  The advantage of an active filter is that you can get a predictable response from the active filter. The buffer is nothing but an op-amp, which has a very high input impedance (in the range of megaohm). After introducing op-amp in the circuit, no matter what you attach to the output, the filter’s performance is not compromised.
The calculation for the time constant after adding a buffer is left for the readers. Take the buffer impedance to be 10M\Omega and send me the answer.