Grounded Circuit Homework: Charge Conservation?

[go quantum!]

Homework Statement

Suppose you have a grounded circuit composed only of capacitors and batteries. Will there be conservation of charge, i.e., if the capacitors are initially uncharged, at any time after it verifies that:

$$\sum_{i=1}^n Q_i=0$$, where Q_i is the charge on the ith capacitor.

 

[mgb_phys]

What do you mean by a grounded circuit?

 

[nrqed]

Homework Statement

Suppose you have a grounded circuit composed only of capacitors and batteries. Will there be conservation of charge, i.e., if the capacitors are initially uncharged, at any time after it verifies that:

$$\sum_{i=1}^n Q_i=0$$, where Q_i is the charge on the ith capacitor.

Yes, as long as by "charge on a capacitor" you mean the sum of the charges on both plates of the capacitor.
As a special case, consider a row of capacitors in series. If you know the charge on one plate of any of the capacitors at a given time, you then know the charge on all the plates of all the capacitors at that time.