# RC Trouble

We have a circuit as shown in the figure with resistance $$R$$,capacitance $$C$$, a Battery of EMF $$V$$ volt. Initially the key was connected to point $$2$$.

At $$t=0$$ the key was connected to point $$1$$. Now after one time constant $$\tau$$ the key is connected to point $$2$$. After another time constant the key is connected back to point $$1$$ and we say that a cycle is completed.

If the charge on the capacitor as the number of cycles completed tend to infinity is given by $$=xCV$$ than find $$\left\lfloor 100x \right\rfloor$$

Details and assumptions

1)The conductor is connected to only point at a time.

2)$$\tau=RC$$

3)There is no time lag between consecutive cycles that is as soon as one cycle is completed the other cycle is started

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