Calculation Formula of capacitor charge discharge time

Source: Internet
Author: User
Calculation Formula of capacitor charge discharge time

 

 

Set, V0 as the initial voltage value on the capacitor;
V1 is the final charged or placed voltage value of the capacitor;
VT is the voltage value of the capacitor at t time.
Then,
Vt = "V0" + (V1-V0) * [1-exp (-T/RC)]
Or,
T = rc * ln [(V1-V0)/(V1-Vt)]

For example, a battery with a voltage of E is charged to a capacitor C with a initial value of 0 through R.
V0 = 0, V1 = E, so the voltage charged to the T moment capacitor is:
Vt = "E" * [1-exp (-T/RC)]

For another example, capacitor C with initial voltage e is discharged through R.
V0 = E, V1 = 0, so the voltage put on the T-moment capacitor is:
Vt = "E" * exp (-T/RC)

Another example is that capacitor C with initial values of 1/3 VCC is charged by R, and the final value of charge is
VCC: How long does it take to charge 2/3 VCC?
V0 = VCC/3, V1 = VCC, VT = 2 * VCC/3, so
T = "RC" * ln [(1-1/3)/(1-2/3)] = rc * ln2
= 0.693rc

Note: The above exp () indicates the base-e exponent function; Ln () indicates the base-e logarithm function.
Quantity

Contact Us

The content source of this page is from Internet, which doesn't represent Alibaba Cloud's opinion; products and services mentioned on that page don't have any relationship with Alibaba Cloud. If the content of the page makes you feel confusing, please write us an email, we will handle the problem within 5 days after receiving your email.

If you find any instances of plagiarism from the community, please send an email to: info-contact@alibabacloud.com and provide relevant evidence. A staff member will contact you within 5 working days.

A Free Trial That Lets You Build Big!

Start building with 50+ products and up to 12 months usage for Elastic Compute Service

  • Sales Support

    1 on 1 presale consultation

  • After-Sales Support

    24/7 Technical Support 6 Free Tickets per Quarter Faster Response

  • Alibaba Cloud offers highly flexible support services tailored to meet your exact needs.