When capacitors are connected together in parallel the total or equivalent capacitance, CT in the circuit is equal to the sum of all the individual capacitors added together. This is because the top plate of capacitor, C1 is connected to the top plate of C2 which is connected to the top plate of C3 and so on.
Figure 19.6.2 19.6. 2: (a) Capacitors in parallel. Each is connected directly to the voltage source just as if it were all alone, and so the total capacitance in parallel is just the sum of the individual capacitances. (b) The equivalent capacitor has a larger plate area and can therefore hold more charge than the individual capacitors.
We can also define the total capacitance of the parallel circuit from the total stored coulomb charge using the Q = CV equation for charge on a capacitors plates. The total charge QT stored on all the plates equals the sum of the individual stored charges on each capacitor therefore,
where A is the area of the plate . Notice that charges on plate a cannot exert a force on itself, as required by Newton’s third law. Thus, only the electric field due to plate b is considered. At equilibrium the two forces cancel and we have The charges on the plates of a parallel-plate capacitor are of opposite sign, and they attract each other.
Let the capacitor be initially uncharged. In each plate of the capacitor, there are many negative and positive charges, but the number of negative charges balances the number of positive charges, so that there is no net charge, and therefore no electric field between the plates.
Electrical field lines in a parallel-plate capacitor begin with positive charges and end with negative charges. The magnitude of the electrical field in the space between the plates is in direct proportion to the amount of charge on the capacitor.
When capacitors are connected in parallel, the total capacitance is the sum of the individual capacitors'' capacitances. If two or more capacitors are connected in parallel, the overall effect is that of a single equivalent capacitor having the …