Characteristic of Capacitors

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3.5. The Effect of Non ideal Capacitors Characteristic of Capacitors 12 0 (db) 10 20 30 capacitor 0.001µF (1000pF) Chip monolithic 40 two-terminal ceramic capacitor 0.001µF (1000pF) 2.0 x 1.25 x 0.6 mm 50 1 5 10 50 100 500 1000 (MHz) This section and the following sections describe the necessity and performance of capacitor-type EMI filters. With the ideal capacitor, the insertion loss increases as the frequency becomes higher. However, with actual capacitors, the insertion loss increases until the frequency reaches a certain level (self-resonance frequency) and then insertion loss decreases. 12

3.5. The Effect of Non ideal Capacitors The Effect of Non ideal Capacitors 13 (a) Equivalent circuit of capacitor Signal At high frequencies... GND ESL: Equivalent series inductance (L) (Residual inductance) (b) Effect by residual inductance by ESL characteristic of capacitor Self-resonance frequency Self-resonance frequency The frequency at which resonance occur due to the capacitor s own capacitance, and residual inductance. It is the frequency at which the impedance of the capacitor becomes zero. From j2πfl + 1/j2πfC = 0, f = 1/2π LC f: Self-resonance frequency C: Capacitance L: Residual inductance The insertion loss of capacitors increase until the frequency reaches the self-resonance frequency and then decrease due to residual inductance of the lead wires and the capacitor's electrode pattern existing in series with the capacitance.since noise is prevent from going through the bypass capacitors to the GND,the insertion loss decrease.the frequency at wich the insertion loss begins to decrease is called self-resonance frequency. 13

3.5. The Effect of Non ideal Capacitors The Effect of ESL 14 At frequencies higher than the self-resonance frequency, the insertion loss does not change regardless of whether the capacitance value is increased or decreased. For use in a high-frequency range, a capacitor with a high self-resonance frequency, i.e. small residual inductance (ESL), must be selected. by ESL Capacitance Small Medium Large ESL Large Medium Small When the residual inductance is the same, the insertion loss does not change at frequencies above the self-resonance frequency, regardless of whether the capacitance value of the capacitor is increased or decreased. Therefore for greater noise suppression at frequencies higher than the self-resonance frequency, you must select a capacitor with a higher self-resonance frequency, i.e. small residual inductance. 14

3.6. Characteristic of Typical Capacitors Insertion Loss Characteristics of Typical Two-terminal Capacitors 15 0 (db) 20 40 60 80 Chip aluminum electrolytic capacitor (47 µf) 5.8 x 4.6 x 3.2 mm Chip aluminum electrolytic capacitor (47 µf) 8.4 x 8.3 x 6.3 mm Leaded monolithic two-terminal ceramic capacitor (0.01 µf) Leaded monolithic two-terminal capacitor (0.1 µf) Chip monolithic two-terminal ceramic capacitor (0.01 µf) Chip monolithic 2.0 x 1.25 x 0.85 mm two-terminal ceramic capacitor (0.1µF) 2.0 x 1.25 x 0.85 mm 0.5 1 5 10 50 100 500 1000 (MHz) The above drawing shows examples of insertion loss measurements of typical capacitors. For leaded capacitors, the insertion loss is measured with the lead wires cut to 1 mm. 15

3.5. Characteristic of Typical Capacitors Typical ESL Values for Capacitors 16 Type of Capacitor Leaded disc ceramic capacitor (0.01 µf) Leaded disc ceramic capacitor (0.1 µf) Leaded monolithic ceramic capacitor (0.01 µf) Leaded monolithic ceramic capacitor (0.1 µf) Chip monolithic ceramic capacitor (0.01 µf, Size: 2.0 x 1.25 x 0.6 mm) Chip monolithic ceramic capacitor (0.1 µf, Size: 2.0 x 1.25 x 0.85 mm) Chip aluminum electrolytic capacitor (47 µf, Size: 8.4 x 8.3 x 6.3 mm) Chip tantalum electrolytic capacitor (47 µf, Size: 5.8 x 4.6 x 3.2 mm) Residual inductance (ESL) 3.0 nh 2.6 nh 1.6 nh 1.9 nh 0.7 nh 0.9 nh 6.8 nh 3.4 nh The above table shows typical residual inductances (ESL) values for capacitors, which are calculated from the impedance curves shown on the previous page. The residual inductance varies depending on the type of capacitor. It can also vary in the same type of capacitor, depending on the dielectric material and the structure of the electrode pattern. 16

3.8. The Effect of Equivalent Series Resistance The Effect of Equivalent Series Resistance 20 (a) Capacitor s equivalent circuit with ESL and ESR ESL: Equivalent series inductance (L) (Residual inductance) ESR: Equivalent series resistance (b) Affect by ESL (c) Affect by ESR by ESL characteristic of capacitor Self-resonance frequency by ESR characteristic of capacitor (d) frequency characteristic of actual capacitor affected by ESL and ESR The second factor that causes deterioration in the characteristic of capacitors is equivalent series resistance (ESR). The insertion loss will be lower due to ESR caused by the electrode and material. The ESR is very low in ceramic capacitors but higher in aluminum electrolytic capacitors. 20