How is Capacitance, Resistance and Time to fully charge related?

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SUMMARY

The relationship between capacitance (C), resistance (R), and the time to fully charge a capacitor is defined by the equation V = q/C + RI, where V represents voltage and I is the current. The current can be expressed as I = dq/dt, allowing for integration to determine the charging time. Understanding this relationship is crucial for analyzing circuits involving capacitors and resistors.

PREREQUISITES
  • Basic knowledge of electrical circuits
  • Understanding of Ohm's Law
  • Familiarity with calculus for integration
  • Concept of charging and discharging in capacitors
NEXT STEPS
  • Study the integration of current in capacitor charging equations
  • Learn about time constants in RC circuits
  • Explore the effects of varying resistance on charging time
  • Investigate practical applications of capacitors in electronic circuits
USEFUL FOR

Electrical engineering students, hobbyists working with circuits, and professionals designing electronic devices that utilize capacitors and resistors.

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How is...

Capacitance, Resistance and Time to fully charge related?
 
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Could you rephrase the question? I don't even understand what "fully charge" means!
 
I assume you have a voltage V charging a capacitor C, with resistance R also in the circuit. Then

V=q/C + RI

But I=dq/dt. This is a simple equation to integrate. Try it.
 

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