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It is a matter of history, sadly. Capacitors where built well before the International System of measurement (SI) was established and some prefixes weren't used so much (e.g. nano). For example, usua …

To give further insight: think of a single capacitor as a tank circuit, where the capacitor may resonate with its parasitic inductance. … Assuming a simple model where a capacitor has a single resonant frequency, paralleling different caps, with different resonant frequencies, allows us to "combine" the different frequencies responses so …

Just the outline of the solution: By KCL the currents of the two current sources add up at the upper node and go into the capacitor. … This will give you \$v_c(6\mu s)\$, assuming the capacitor is discharged at \$t=0\$ (i.e., assuming \$v_c(0)=0\$), otherwise the problem is not well specified. …

The "trick" is to remember that if you define reactances as: \[ X_L = \omega L \qquad X_C = \frac{1}{\omega C} \] then the impedance for an inductor and a capacitor are: \[ Z_L = j X_L = j \omega L …

That's not a protection device, if you intend "protection" as something that prevents the chip to die, but it serves as a so-called bypass capacitor. … The bypass capacitor reduces this risk in a way similar a filter capacitor after a bridge rectifier reduces the ripple of a rectified voltage. …

If you have just one big capacitor, once it fails, you are left with a nonworking system. Moreover, a bigger cap can do more damage to nearby components if it fails spectacularly. … A single, big capacitor can be stressed mechanically more heavily when subjected to vibrations. …

Sometimes a (fairly large) resistor is placed in parallel to a capacitor to act as a bleeding resistor, i.e. to allow the capacitor to discharge quickly after the power is turned off. … Without the bleeding resistor the capacitor could retain a fairly large amount of energy at high voltage even after minutes (or hours) from power-off. …

Note the symbols on that schematic: both Cin1 and Cin2 are electrolytic caps. So, even for high voltage ones, you can get them at reasonable price (10uF-100uF, 400V electrolytic caps are fairly common …

That situation assumes an ideal capacitor and an ideal inductor, which are only mathematical abstractions. Any real component suffers from some parasitic effect that will alter its ideal behavior. … As a first level approximation consider this: a real capacitor has some leakage current, which can be modeled by a resistor in parallel to the ideal capacitor, whereas an inductor has some wire resistance …

So, whenever you excite a discharged capacitor with a signal that "starts up", i.e. is zero before a given instant of time, the capacitor is subjected to a transient response that dies off after some time … EDIT BTW, to answer explicitly the title question, the basic relationship describing a capacitor is this: $$ q(t) = C \cdot v(t) $$ where \$q\$ is the charge "stored" in the capacitor, \$C\$ is the capacitance …

During high current periods the capacitor will act as the primary power source, while during low current periods the battery will be the primary power source and recharge the capacitor. … When dimensioning the capacitor it is important to know the battery’s internal resistance and the load profile. With this information it’s quite simple to dimension a suitable capacitor. …

Therefore it acts as a very high resistance across the terminals of the capacitor, leading to slow self-discharge. … Increasing the thickness of the dielectric between the plates means decreasing the capacitor capacitance, though. …

The plates of the capacitor are metallic, hence most of the electrons of the outer shells of the atoms are in conduction band, not in the valence band. … Actually after 3-5 time constants you may consider the capacitor charged. …

EE.SE about load capacitors for clock generator XTALs and they seem mostly focused about understanding their function or selecting the right capacitance value, but little is said about tolerance or other capacitor …

From the schematics it seems some sort of smoothing filter for a full-wave rectifier. At 60Hz the fully-rectified voltage will have a 120Hz frequency and that filter has a notch about at that frequenc …