What is the equation switched capacitors

  • Thread starter dddd12349999
  • Start date
  • Tags
    Capacitors
In summary, the equation that describes the relation between the charging current i(vdd) and the switched capacitors (c1, c2, c3, c4, c5) is affected by the sequence in which switches 1-5 are closed, as well as the delay time of td. There is a problem with the circuit as the second switch results in an infinite current, but this is only for an instant. The voltages across C1 and C2 become equal when the switch is closed and then continue to be charged.
  • #1
dddd12349999
2
0
HELLO
what is the equation that describes the relation between the charging current i(vdd) and that switched capacitors ( c1,c2,c3,c4,c5) if we put into consideration that switches are closing in sequence switch 1,switch 2, . . .switch 5 with a delay time of td


thanks
 

Attachments

  • equation.jpg
    equation.jpg
    6.1 KB · Views: 501
Physics news on Phys.org
  • #2
There is a problem with your circuit.
When the second capacitor is switched, there is an infinite current through the switch.
 
  • #3
can we think about it as a variable capacitor?
 
  • #4
dddd12349999 said:
HELLO
what is the equation that describes the relation between the charging current i(vdd) and that switched capacitors ( c1,c2,c3,c4,c5) if we put into consideration that switches are closing in sequence switch 1,switch 2, . . .switch 5 with a delay time of td

thanks
attachment.php?attachmentid=45877&d=1333542703.jpg



Carl Pugh said:
There is a problem with your circuit.
When the second capacitor is switched, there is an infinite current through the switch.
That's only for an instant.

When the switch for C2 is closed, the voltages across C1 & C2 become equal to each other virtually instantaneously. Then the pair continue to be charged for that point.
 
  • #5
for your question. The equation for switched capacitors is typically described using the charge conservation principle, which states that the total charge on a system must be conserved. In this case, the equation would be:

Q = C1V1 + C2V2 + C3V3 + C4V4 + C5V5

where Q is the total charge, C1-C5 are the capacitance values of the capacitors, and V1-V5 are the voltage across each capacitor. The delay time, td, would also need to be taken into account in the equation, as it affects the switching sequence and the charging current.

To fully understand the equation, it would also be important to consider the switch resistance and the effects of parasitic capacitance, as these can impact the overall performance of the circuit. Additionally, the equation may vary depending on the specific circuit design and the type of switches being used.

I hope this helps to answer your question. If you have any further inquiries, please don't hesitate to ask.
 

What is the equation for switched capacitors?

The equation for switched capacitors is Q = CV where Q is the charge, C is the capacitance, and V is the voltage.

How do switched capacitors work?

Switched capacitors work by rapidly switching between two capacitors in order to store and discharge electrical energy. The switching process allows for the creation of a virtual capacitor with a larger effective capacitance.

What are the advantages of using switched capacitors?

Switched capacitors have several advantages including smaller size, lower cost, and higher efficiency compared to traditional capacitors. They also have the ability to create virtual capacitors with larger capacitance, allowing for more energy storage.

What are the applications of switched capacitors?

Switched capacitors have many applications in electronic devices such as power supplies, voltage regulators, and filters. They are also used in analog-to-digital converters and in audio amplifiers to reduce noise and improve performance.

How do I calculate the effective capacitance in a switched capacitor circuit?

The effective capacitance in a switched capacitor circuit can be calculated by using the equation Ceq = C1 + C2/(1-D) where C1 and C2 are the capacitance values of the two capacitors and D is the duty cycle of the switching signal.

Similar threads

  • Introductory Physics Homework Help
Replies
4
Views
688
  • Introductory Physics Homework Help
2
Replies
62
Views
3K
  • Introductory Physics Homework Help
Replies
11
Views
1K
  • Introductory Physics Homework Help
Replies
10
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
2K
  • Introductory Physics Homework Help
Replies
14
Views
2K
  • Introductory Physics Homework Help
Replies
8
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
3K
  • Introductory Physics Homework Help
Replies
1
Views
3K
  • Introductory Physics Homework Help
Replies
8
Views
2K
Back
Top