- #1

vcsharp2003

- 897

- 177

- Homework Statement
- What is the potential difference between points A and B in the circuit below.

- Relevant Equations
- ##C= \dfrac {q}{V}##

Sum of potential rises = Sum of potential drops in a circuit loop

In the given circuit, a transient current will flow and when this current finally stops at equilibrium, the charges ##q_1## and ##q_2## are assumed to deposit at the capacitor plates as shown below. The dashed line indicates an isolated system that will have it's total charge conserved.

If I assume ##V_1## and ##V_2## as the potential differences across the 4 ##\mu F##and 2 ##\mu F## at equilibrium state, then the following equations are true.

##2 \times 10^{-6}V_2 = q_2##

##4 \times 10^{-6}V_1 = q_1##

I need two more equations, since there are 4 unknowns. One of the equations can be obtained by applying law of conservation of charge to the isolated system within the dashed curve, for which we can say total charge at start = total charge when circuit reaches equilibrium i.e. ##0 = q_1 + q_2##; but in the isolated system there is the 24 V battery whose terminals will also have charges when equilibrium is reached.

*My question is whether I can assume the battery terminals to have equal and opposite charges when not delivering current?*