How Do You Determine Time in an RC Circuit for Charge and Current Changes?

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SUMMARY

The discussion focuses on determining the time required for charge and current changes in an RC circuit. To find the time for the charge on the capacitor to reach 50% of its final value, the equation Q=CV(1-e^-t/RC) is utilized. Additionally, the time for the initial current to decrease to 10% of its initial value is also derived from the same principles. The key variables in these calculations are the resistance (R) and capacitance (C) of the circuit.

PREREQUISITES
  • Understanding of RC circuit fundamentals
  • Familiarity with the equation Q=CV(1-e^-t/RC)
  • Knowledge of exponential decay in electrical circuits
  • Basic algebra for manipulating equations
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  • Learn how to derive the time for charge and current changes in RC circuits
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Students studying electrical engineering, educators teaching circuit theory, and hobbyists interested in electronics and circuit design.

wildredhead
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Homework Statement



The capacitor in an circuit is initially uncharged
In terms of R and C, determine the time required for the charge on the capacitor to rise to 50% of its final value.

In terms of R and C, determine the time required for the initial current to drop to 10% of its initial value

Homework Equations




I know i need to use Q=CV(1-e^-t/RC)
But I don't know how to put it all together.

The Attempt at a Solution

 
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Hi wildredhead! :smile:

(try using the X2 tag just above the Reply box :wink:)
wildredhead said:
I know i need to use Q=CV(1-e^-t/RC)
But I don't know how to put it all together.

Show us how far you've got, and where you're stuck, and then we'll know how to help! :smile:
 

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