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## Charging and Discharging a Capacitor

Here the capacitance of a parallel plate capacitor is pF. The below circuit is used to explain the charging and discharging characteristics of a capacitor. Let us assume that the capacitor, which is shown in the circuit, is fully discharged. Figure 1: Circuit for RC charge-discharge measurement where V t is the sensor used to measure the potential di erence across the capacitor as a function of time. The time dependence of the potential di erence V t for the charging and discharging process is shown in Figure 2. Charging and discharging the RC circuit Charging Initially, a capacitor is in series with a resistor and disconnected from a battery so it is uncharged. Charging a capacitor means the accumulation of charge over the plates of the capacitor, where discharging is the release of charges from the capacitor plates.

## 10.6: RC Circuits

An RC series circuit. In this section we see how to solve the differential equation arising from a circuit consisting of a resistor and a capacitor. See the related section Series RL Circuit in the previous section. In an RC circuit, the capacitor stores energy between a pair of plates. When voltage is applied to the capacitor, the charge builds up in the capacitor and the current drops off to zero. Kirchhoff's voltage law says the total voltages must be zero. So applying this law to a series RC circuit results in the equation:.

Consider the following circuit containing an electromotive source ε, a resistor R, a capacitor C, and a switch S. Figure 1: RC -circuit. Question 1: When the switch.

## 10.6: RC Circuits

However, there is a definite mathematical relationship between voltage and current for a capacitor, as follows:. For whatever reason, the letter v is usually used to represent instantaneous voltage rather than the letter e. In this equation, we see something novel to our experience thus far with electric circuits: the variable of time. The same basic formula holds true, because time is irrelevant to voltage, current, and resistance in a component like a resistor. In a capacitor, however, time is an essential variable, because the current is related to how rapidly voltage changes over time.

### 10.6: RC Circuits

Charging and discharging of capacitor experiment report pdf free download. Abstract: The purpose of this experiment is to investigate the charging and the discharging of a capacitor. In this experiment a capacitor is charged and discharged and the time taken is recorded at equal intervals. Objective: To investigate the charge and the discharge of a capacitor. Introduction: A capacitor is a passive two-terminal.

A Capacitor is a passive device that stores energy in its Electric Field and returns energy to the circuit whenever required. Figure 1 and Figure 2 are the basic structure and the schematic symbol of the Capacitor respectively. When a Capacitor is connected to a circuit with Direct Current DC source, two processes, which are called "charging" and "discharging" the Capacitor, will happen in specific conditions. Both Plates get the equal and opposite charges and an increasing Potential Difference, v c , is created while the Capacitor is charging. The Voltage v c on a Capacitor cannot change abruptly. The smaller the Resistance or the Capacitance, the smaller the Time Constant, the faster the charging and the discharging rate of the Capacitor, and vice versa. Capacitors are found in almost all electronic circuits.

#### Charging a Capacitor

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When you use a flash camera, it takes a few seconds to charge the capacitor that powers the flash.

The Canonical Charging and Discharging RC Circuits. Consider two different circuits containing both a resistor R and a capacitor C. One circuit also contains a.