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You are still not grasping the fundamental properties of components.
No, a capacitor with AC applied across it does not alternately charge at one end then the other, as already stated, the charge is ACROSS THE ENDS, regardless of polarity. If you apply AC to a capacitor through a resistor, it will charge in the same polarity as the applied voltage but with a delay because of the resistor restricting the flow of current into it, as the applied AC drops below the capacitor voltage, the current will flow the other way, from the capacitor to the source, until there is sufficient voltage in the opposite polarity to start charging it again. Your calculation of 8.3mS is 1/60 seconds or 60Hz but there is a flaw in your thinking, the circuit operates on HALF AC cycles so the AC will drop through zero and turn the circuit off in half that time (4.15mS) and even then it assumes you are delaying the trigger until the last moment just before it would turn off anyway. In practice, the time delay would be anything between 0 and 4.15mS.
In DC circuits where you see capacitors across the supply rails they are still being used to store charge but for a different purpose. Most active devices like the 16F887 in your picture do not draw a steady current. They contain thousands of transistors, many of them switching on and off at high speed and as they do so drawing different currents. It follows that if the power to the device is restricted by resistance or inductance in the power supply feed, the voltage will drop according to the current. It would result in the device power fluctuating at high speed which would almost certainly cause a malfunction. The capacitor does exactly the same as in the SCR example, it stores charge when the voltage across it is above what it already holds and it releases the charge when it holds more than the voltage applied across it, in other words it works like reservoir for the power. It doesn't produce power by itself but you could think of it as being a little rechargeable battery placed at the point where demand is greatest. Incidentally, the supply capacitors are missing from the bottom picture so it may not work!
The other use you mention on the 555 timer is two different examples of capacitor usage. The timing capacitor does not discharge by itself, it charges from the supply through the resistors and that voltage is monitored inside the 555 by a comparator. When a certain voltage is reached (remember that the series resistor controls how fast the voltage can rise) an internal discharge path in the 555 is enabled and the capacitor voltage drops again. When a lower voltage is reached, the 555 turns the discharge path off and the capacitor starts to charge again. The cyclic charging and discharging is what produces the oscillation. The other mention of the capacitor to reduce noise again uses the same principle that charge is held
across the capacitor but in that position it serves a different purpose. The control pin on a 555 sets some internal circuits that determine its switching characteristics, the pin is a voltage input so anything on it will have an effect on the frequency. Here a capacitor is used to keep the voltage steady (reduce noise) by drawing or releasing charge from the control voltage source to help to hold it at fixed voltage, at lease over a short time period.
Brian.
No, a capacitor with AC applied across it does not alternately charge at one end then the other, as already stated, the charge is ACROSS THE ENDS, regardless of polarity. If you apply AC to a capacitor through a resistor, it will charge in the same polarity as the applied voltage but with a delay because of the resistor restricting the flow of current into it, as the applied AC drops below the capacitor voltage, the current will flow the other way, from the capacitor to the source, until there is sufficient voltage in the opposite polarity to start charging it again. Your calculation of 8.3mS is 1/60 seconds or 60Hz but there is a flaw in your thinking, the circuit operates on HALF AC cycles so the AC will drop through zero and turn the circuit off in half that time (4.15mS) and even then it assumes you are delaying the trigger until the last moment just before it would turn off anyway. In practice, the time delay would be anything between 0 and 4.15mS.
In DC circuits where you see capacitors across the supply rails they are still being used to store charge but for a different purpose. Most active devices like the 16F887 in your picture do not draw a steady current. They contain thousands of transistors, many of them switching on and off at high speed and as they do so drawing different currents. It follows that if the power to the device is restricted by resistance or inductance in the power supply feed, the voltage will drop according to the current. It would result in the device power fluctuating at high speed which would almost certainly cause a malfunction. The capacitor does exactly the same as in the SCR example, it stores charge when the voltage across it is above what it already holds and it releases the charge when it holds more than the voltage applied across it, in other words it works like reservoir for the power. It doesn't produce power by itself but you could think of it as being a little rechargeable battery placed at the point where demand is greatest. Incidentally, the supply capacitors are missing from the bottom picture so it may not work!
The other use you mention on the 555 timer is two different examples of capacitor usage. The timing capacitor does not discharge by itself, it charges from the supply through the resistors and that voltage is monitored inside the 555 by a comparator. When a certain voltage is reached (remember that the series resistor controls how fast the voltage can rise) an internal discharge path in the 555 is enabled and the capacitor voltage drops again. When a lower voltage is reached, the 555 turns the discharge path off and the capacitor starts to charge again. The cyclic charging and discharging is what produces the oscillation. The other mention of the capacitor to reduce noise again uses the same principle that charge is held
across the capacitor but in that position it serves a different purpose. The control pin on a 555 sets some internal circuits that determine its switching characteristics, the pin is a voltage input so anything on it will have an effect on the frequency. Here a capacitor is used to keep the voltage steady (reduce noise) by drawing or releasing charge from the control voltage source to help to hold it at fixed voltage, at lease over a short time period.
Brian.