# Relationship between charging time capacitance and charge

### Episode Capacitance and the equation C=Q/V From equation it can be seen that RC is the time during which the charge on become equal to the source voltage Vo when the capacitor is fully charged. A Capacitor consists of two Conducting Plates separated by an Insulating get the equal and opposite charges and an increasing Potential Difference, vc, the Time Constant τ, which characterizes the rate of charging and discharging of a. By charging a suitable capacitor to different voltages and measuring the charge stored each time, you have a rapid confirmation of the relationship Q ∝ V. The.

Capacitor Charging and Discharging [Electronics & Communication].avi

The charge flow and the final charge on each plate is shown in the diagram. When a capacitor is charging, charge flows in all parts of the circuit except between the plates. As the capacitor charges: Capacitance The capacitor shown in the diagram above is said to store charge Q, meaning that this is the amount of charge on each plate. When a capacitor is charged, the amount of charge stored depends on: Where Q is the charge stored when the voltage across the capacitor is V. Capacitance is measured in farads F. As the capacitor plates have equal amounts of charge of the opposite sign, the total charge is actually zero.

• Episode 126: Capacitance and the equation C=Q/V
• Capacitors
• RC time constant

However, because the charges are separated they have energy and can do work when they are brought together. One farad is a very large value of capacitance.

### Charging and Discharging a Capacitor

Combining capacitors Like resistors, capacitors can be connected in series or parallel to achieve different values of capacitance. When capacitors in series are connected to a voltage supply: The effect of adding capacitors in series is to reduce the capacitance. When an additional capacitor is added, there is less p. The diagram shows the charge on the plates of three capacitors connected in series. This results in the effective value of a series combination of capacitors being smaller than the lowest value capacitor in the combination.

In contrast to this, the effect of connecting capacitors in parallel is to increase the capacitance so that the effective value of a number of capacitors in parallel is always greater than the largest value of the combination. When capacitors are connected in parallel: The energy stored in a capacitor Energy is needed from a power supply or other source to charge a capacitor. A charged capacitor can supply the energy needed to maintain the memory in a calculator or the current in a circuit when the supply voltage is too low. The amount of energy stored in a capacitor depends on: The graph below shows how the voltage across the plates of a capacitor depends on the charge stored. The shaded area between the graph line and the charge axis represents the energy stored in the capacitor. Charging and discharging a capacitor When a capacitor is charged by connecting it directly to a power supply, there is very little resistance in the circuit and the capacitor seems to charge instantaneously. This constant is called the capacitance, C, of the capacitor and this is measured in farads F. It is a good idea to point out that 1 farad is a very large capacitance and that most capacitors will be micro, m, -nano-or pico- farads.

Charge proportional to voltage — first alternative The relationship between charge and potential difference can be investigated further by the students themselves. Two experiments are possible; this one makes use of a coulomb meter.

The experiment can be repeated with different capacitors.

### How do resistors affect capacitors? | Socratic

Plot a graph of Q against V. Although this is a more difficult experiment to perform, it has value because it can be extended to investigate the factors determining capacitance of a parallel plate capacitor if this is needed for your specification.

From either experiment, a graph of Q against V can be plotted. This is helpful later when discussing the energy stored in a capacitor.

The graph from a reed switch experiment will not pass through the origin so the effect of stray capacitance in the experiment will have to be explained Episode A large area with a small gap gives reasonable values of capacitance; dielectric increases capacitance; rolling reduces the overall size. Factors affecting C Using a reed switch, or a digital capacitance meter, investigate the factors determining capacitance for a parallel plate capacitor. If you do not have a reed switch many cheap digital multimeters now have a capacitance meter that covers the pF and nF range, which will work effectively here.

## Charging and Discharging a Capacitor

By using parallel plates as the capacitor in this experiment, the relationship between capacitance and area can be found by altering the area of overlap while using spacers leads to the relationship between capacitance and separation. Placing plastic sheets between the plates shows the effect of a dielectric and shows why the relative permittivity appears in the formula.

If time is short, these three experiments could be done as group activities, with groups reporting back on their findings. Permittivity Discuss the outcomes of the experiments and the significance of e o, the permittivity of free space.