## Electronics ABC

### Capacitors, Part 3 "Ceramic Capacitors "

This articles republished the past articles have been reorganized and rewritten. It includes the past technologies and products information not currently handled by TDK.

## Electronics ABC ### Major characteristics of multilayer ceramic chip capacitors

In order to use capacitors correctly, it is important to understand their particular characteristics. This section explains some of main features of multilayer ceramic chip capacitors.

#### ●Rated voltage

Every capacitor has a certain limit to the voltage that can be applied to it. The rated voltage refers to the maximum voltage that can be applied during constant operation without causing a problem. Normally, the rated voltage is given as a DC voltage, but for some products, an AC voltage may also be given as a guaranteed value.

#### ●Leak current / insulation resistance / insulation breakdown

Although a capacitor in principle blocks DC current, a slight leak voltage does in fact occur. The insulation resistance is a value that is obtained by dividing the current flowing in the capacitor by the applied voltage. Because multilayer ceramic chip capacitors have a high insulation resistance, leak current does not present a problem in normal applications. However, when the rated voltage is exceeded and the applied voltage is increased further, the capacitor will be subject to insulation breakdown at some point.

#### ●Tan δ (tangent delta)・Q

Ideally, a capacitor used in a circuit should not consume any energy, but in reality, factors such as dielectric loss of the capacitor and the resistivity of electrodes and lead wires (known as ESR: equivalent series resistance) cause an energy loss. This manifests itself as a phase shift in the current flowing in the capacitor. The phase difference between the voltage applied to the capacitor and the current ideally is 90 degrees, but the abovementioned loss causes a delay beyond 90 degrees. The angle δ (loss angle) of this delay when expressed with the trigonometric tan function (positive number) is referred to as tan δ (tangent delta) or dielectric tangent. The reciprocal of tan δ is known as Q (quality factor) which is an index for the performance of a capacitor in the high frequency range.

#### ●Thermal characteristics of capacitance

Multilayer ceramic chip capacitors used extensively in electronic devices can be divided into two major categories according to their type of dielectric, namely (1) low dielectric constant type, and (2) high dielectric constant type. These can be further subdivided by thermal characteristics, a specification that is governed by JIS (Japanese Industrial Standards) and EIA (Electronics Industries Association in America) standards.

#### ●DC bias characteristics (DC voltage characteristics)

The capacitance of a ceramic capacitor also changes according to the applied voltage. With a DC voltage, this property is referred as the DC bias characteristics. With low dielectric constant capacitors (type 1), capacitance hardly changes, but in high dielectric constant capacitors (type 2) with "B" characteristics and especially ceramic capacitors with “F” characteristics, the change is significant. This is due to the fact that high dielectric constant capacitors use a ferroelectric substance (such as BaTiO3) which generates spontaneous polarization.
Ceramics material is a polycrystalline substance that consists of a large number of crystal grains. In ferroelectric material, the so-called domains of these grains are arranged alternately in the opposite direction, thereby canceling each other out, so that no spontaneous polarization occurs. As the strength of the applied direct electric field increases, the dielectric constant initially also rises because the orientation of spontaneous polarization is aligned with the orientation of the electric field. However, when the electric field is made stronger, alignment ceases and saturation is reached, causing the dielectric constant to drop. When applying DC bias, it is therefore necessary to select the correct parameters taking the characteristics of the dielectric as well as the usage voltage and withstand voltage into consideration. Also, the capacitance drop caused by DC bias will tend to be more pronounced in smaller capacitors.

#### ●Impedance vs. frequency response characteristics

The higher the frequency of an alternating current, the more easily it will pass through a capacitor. In an ideal capacitor, as the frequency increases, impedance will tend ever closer to zero, but in reality, there exists a frequency boundary beyond which the impedance of the capacitor will rise again. Therefore the impedance vs. frequency response curve will have a V shape (or U shape). This is because the ESL (equivalent series inductance) of the capacitor forms an LC resonance circuit with the capacitor. The frequency at the bottom of the V curve is called the self-resonant frequency (SRF). Up to this frequency, the capacitor functions as a capacitor, but in the frequency range above it, it functions as an inductor. The Q value also drops and becomes zero at the self-resonant frequency. Therefore parameters must be selected in such a way that the capacitor operates below the self-resonant frequency.

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