How Do You Calculate Capacitance in a Series RC Circuit?

  • Thread starter Thread starter UnseenAngels07
  • Start date Start date
  • Tags Tags
    Circuit
Click For Summary
SUMMARY

The discussion focuses on calculating the capacitance of a capacitor in a series RC circuit, specifically involving a 12kΩ resistor and an unknown capacitor connected to a 13V battery. After one second, the voltage across the capacitor is measured at 8V. The relevant equation for the charge on the capacitor over time is given by q = CV(1 - e^(-t/CR)), where C represents capacitance, R is resistance, and t is time. Using this information, the capacitance can be determined through rearranging the equation and substituting the known values.

PREREQUISITES
  • Understanding of RC circuit theory
  • Familiarity with exponential decay functions
  • Knowledge of basic electrical engineering concepts
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the derivation of the capacitor charging equation in RC circuits
  • Learn about the time constant in RC circuits and its significance
  • Explore practical applications of capacitors in electronic circuits
  • Investigate the effects of varying resistance and capacitance on circuit behavior
USEFUL FOR

Electrical engineering students, hobbyists working with circuits, and professionals involved in circuit design and analysis will benefit from this discussion.

UnseenAngels07
Messages
1
Reaction score
0
the problem is a series combination of 12k resistor and an unknown capacitor is connected to a 13 volt battery. One second after the circuit is completed, the voltage across the capacitor is 8v. Determine the capacitance of the capacitor. :rolleyes:
 
Physics news on Phys.org
This is the problem related of charging a capacitor.
The equation for the charge on the capacitor as a function of time is

[tex]\q = CV \left( 1 - e^\ -t/CR \right)[/tex]
 

Similar threads

Replies
20
Views
3K
Replies
4
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
2
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
Replies
3
Views
2K
  • · Replies 15 ·
Replies
15
Views
3K
Replies
1
Views
2K
  • · Replies 11 ·
Replies
11
Views
4K