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Reactance of capacitor is inversely proportional to frequency. I should not need to write the exact equation here, its in your textbook. All you need is that its inversely proportional to frequency for proof.

We will now assume an ideal capacitor to keep the analysis simple.

  • at DC the frequency is zero, the inverse of this is infinite reactance: open circuit
  • at low frequency AC frequency is low, the inverse of this is high reactance
  • at midrange frequency AC frequency is midrange, the inverse of this is midrange reactance
  • at high frequency AC frequency is high, the inverse of this is low reactance
  • at infinite frequency AC frequency is infinite, the inverse of this is zero reactance: short circuit

This disproves your original statement as written, except for the special cases of DC and infinite frequency AC (which does not occur), for ideal capacitors.

As all real capacitors are nonideal, they have leakage resistance. This means that even for the special case of DC the capacitor is not a true open circuit, just a very high resistance resistor. Which also disproves it for the remaining case of DC in real capacitors.

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11y ago

InDC a capacitor is 2 conductors seperated by an insulator. No current flows. It is an open circuit.
InDC an inductor is a wire with resistance only. A current flow is determined by the resistance of the wire.

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Q: Why capacitor short circuit in ac and open circuit in dc analysis?
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Why capacitor behave as open circuit against alternating current?

Capacitors store electrical charge. Imagine we have a capacitor. At time 0 seconds we connect a DC voltage across the capacitor - immediately as the voltage is connected the capacitor is at 0 volts and the maximum current (relative to the circuit resistance) flows. At this extreme the capacitor can be treated as a short circuit, so for high frequency AC volts we should treat a capacitor as being a short circuit. As time passes the current in the circuit will go down and the voltage of the capacitor will go up - this is because as the capacitor gains more charge it gains more voltage, lowering the voltage across any resistance in the circuit consequently lowering the current in the circuit. When the capacitor is virtually full no current will flow at all and the voltage across the capacitor will equal the DC source voltage. At this extreme the capacitor can be treated as an open circuit, so for low frequency AC (allowing the capacitor to fill up before the current alternates) we can treat the capacitor as being an open circuit. Technically, it is not an open/closed circuit when it comes to AC because the capacitance will results in a signal lag or lead. However, if the frequency is low/high enough the lag/lead is often negligable.


What happens when a start capacitor fails?

An open circuit, by definition, has no continuity, therefore there is no current flow. A failed capacitor in an open circuit would have absolutely no effect.


What is a circuit with no load?

An open circuit or a short-circuit (if that circuit is complete).


Why electricity does not flow through an open circuit but flows through a closed circuit?

Electricity does not flow in open circuit because the path is not a complete circuit and has the maximum impedance to flow of electricity while it flows in short circuit because electricity always wants a path with least impedance to flow which short circuit is one of such pathAnswerCurrent can jndeed flow through an open circuit. A capacitor is an open circuit, yet it will allow a d.c. current to flow for a short period of time, and an a.c. current can flow continuously.


What is capacitor function?

The capacitor is used to store the charge applied to it.This stored charge can be used to absorb voltage spikes and voltage drops.AnswerIt's a misconception that a capacitor stores charge. In fact, it stores energy. The net charge on a fully-charged capacitor is the same as on a fully discharged capacitor.

Related questions

What is the purpose of a blocking capacitor?

At high frequency, capacitor can be considered as 1. Short Circuit in AC analysis. 2. Open Circuit in DC analysis. {because Xc= 1/(2*f*pi) where f= supply frequency,pi=3.14} As at high frequencies, in DC analysis, capacitor will be open circuited & can block the DC signal while AC signal is allowed to pass through.. Hence, this capacitor will act as a blocking capacitor for DC supply.


Why capacitor behave as open circuit against alternating current?

Capacitors store electrical charge. Imagine we have a capacitor. At time 0 seconds we connect a DC voltage across the capacitor - immediately as the voltage is connected the capacitor is at 0 volts and the maximum current (relative to the circuit resistance) flows. At this extreme the capacitor can be treated as a short circuit, so for high frequency AC volts we should treat a capacitor as being a short circuit. As time passes the current in the circuit will go down and the voltage of the capacitor will go up - this is because as the capacitor gains more charge it gains more voltage, lowering the voltage across any resistance in the circuit consequently lowering the current in the circuit. When the capacitor is virtually full no current will flow at all and the voltage across the capacitor will equal the DC source voltage. At this extreme the capacitor can be treated as an open circuit, so for low frequency AC (allowing the capacitor to fill up before the current alternates) we can treat the capacitor as being an open circuit. Technically, it is not an open/closed circuit when it comes to AC because the capacitance will results in a signal lag or lead. However, if the frequency is low/high enough the lag/lead is often negligable.


What happens when a start capacitor fails?

An open circuit, by definition, has no continuity, therefore there is no current flow. A failed capacitor in an open circuit would have absolutely no effect.


How are the capacitors treated in the dc equivalent circuit of an amplifier?

In dc equivalent circuit of an amplifier all capacitors are replaced by open circuit because capacitor block dc. As , Xc=1/2πfC We know that that frequency of dc is zero so Xc will infinite so we replace all capacitors with open circuit.


How capacitor behave in alternating current?

Capacitors have an equivalent reactance of 1/jwC (ohms) where w is the angular frequency of the AC signal and C is the capacitance. As the frequency of the signal across the capacitor increases, the capacitor reactance approaches 0 (capacitor acts like a short circuit). As the frequency of the signal across the capacitor decreases, the capacitor reactance approaches infinity (capacitor acts like an open circuit). So, if you have a high frequency signal (like a step input) the capacitor will momentarily act like a short.


What to expect if a resistor is placed in a dc circuit with a capacitor?

when we replace the resistor with a capacitor ,the current will flow until the capacitor charge when capacitor will fully charged there is no current through the circuit because now capacitor will act like an open circuit. for more info plz E-mailt me at "zaib.zafar@yahoo.com"


When does a capacitor act as a resistor of infinite resistance?

When the frequency is zero(i.e when dc power is supplied), capacitor is open is treated as open circuit having infinite resistance.


Prove that capacitor will be open circuit if dc souce is applied?

the impedance of the capacitor is given by Xc=1/jwC where w=2*pi*f and for DC source f=0 hence Xc=infinity ie, the capacitor will provide infinite impedance for DC, or its Open circuit


What is a circuit with no load?

An open circuit or a short-circuit (if that circuit is complete).


What is the difference in an open circuit and a short circuit?

an open circuit is a circuit that does not complete the circle. an open circuit does not do the job as the electricity stands still a short circuit is a circuit that wires have crossed and the electricity takes the shortest path. and does not complete all of the points on the circuit


How the capacitor set lower cutoff frequency limit?

A capacitor totally blocks DC current (it's an open circuit to it). The higher the frequency, the less resistance (impedance) the capacitor has.


How do capacitors function?

A capacitor stores accumulated charges as voltage. The storing and discharging of these charges help regulate voltage in circuits. As the switching frequency of storing or discharging increases the 'frequency dependant resistance' or reactance decreases and appears as a short circuit at infinite frequency. The capacitor appears as a open circuit at zero frequency.