Finding Resistance in RC Circuit

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SUMMARY

The discussion focuses on calculating the resistance (R) in a simple RC circuit given a set of current values over time and a capacitance of 837 nF. The relationship between resistance, capacitance, and time is defined by the equation T = RC. Participants emphasize the importance of determining whether the capacitor is charging or discharging to derive the correct equation for current, which is essential for solving for resistance.

PREREQUISITES
  • Understanding of RC circuits and their behavior
  • Familiarity with the equation T = RC
  • Knowledge of current decay in capacitive circuits
  • Basic algebra for solving equations
NEXT STEPS
  • Study the charging and discharging equations of capacitors in RC circuits
  • Learn how to derive the time constant from current measurements
  • Explore the impact of capacitance on circuit behavior
  • Investigate practical applications of RC circuits in electronics
USEFUL FOR

Students studying electrical engineering, hobbyists working with RC circuits, and anyone interested in understanding capacitor behavior in electronic applications.

Matt21
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Homework Statement


In a simple RC circuit the current as a function of time behaves in the following manner:

I(5s) = 8.823
I(10s) = 7.788
I(20) = 6.065
I(30) = 4.724
I(40) = 3.679
I(50) = 2.865
I(60) = 2.231
I(70) = 1.738
I(80) = 1.353
I(90) = 1.054
I(100) = 0.821
I(110) = 0.639

Assuming that the capacitance C = 837 nF, what is the resistance R (in MΩ)?

Homework Equations


T=RC

The Attempt at a Solution


I have attempted this many different times. I know that the RC constant is equal to the resistance times the capacitance but I'm having trouble finding the RC constant and don't really have any idea where to start.
 
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Hi Matt! Welcome to PF!
Matt21 said:
I have attempted this many different times.
You should show your attempt here.
Is the capacitor charging or discharging?
What will be the equation of the current? How many unknowns will it have?
 

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