Measuring Capacitance given a voltmeter + ammeter

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SUMMARY

The discussion focuses on measuring the capacitance of an industrial capacitor using a digital voltmeter and a digital ammeter. The key equation for capacitance is C=Q/V, where Q is charge and V is voltage. Participants clarify that current (I) is the derivative of charge (dQ/dt) and emphasize the importance of integrating the current over time to determine charge. The confusion arises from the interpretation of the ammeter readings and the relationship between current and charge.

PREREQUISITES
  • Understanding of capacitance and the formula C=Q/V
  • Knowledge of current as a function of time and its relationship to charge (I=dQ/dt)
  • Basic calculus concepts, particularly integration
  • Familiarity with using digital voltmeters and ammeters in circuit measurements
NEXT STEPS
  • Learn how to integrate current over time to calculate charge (Q)
  • Study the principles of measuring capacitance with AC voltage sources
  • Explore the use of oscilloscopes for visualizing voltage and current waveforms
  • Review the relationship between charge, voltage, and capacitance in practical applications
USEFUL FOR

This discussion is beneficial for electrical engineering students, hobbyists working with capacitors, and anyone interested in practical circuit measurements and analysis.

mikel2009
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Homework Statement


Given the following:
• a battery,
• a digital voltmeter (which records voltage as a function of time),
• a digital ammeter (which records current as a function of time),
• a battered industrial capacitor,
• two copper plates,
• and several bits of copper wire.

measure the capacitance of the industrial
capacitor

(there's a second segment of the question, but i understand it)

Homework Equations


C=Q/V. etc.
I=dQ/dt.


The Attempt at a Solution



I have attempted to write a solution to this, but am only confusing myself.
The voltage is a given, however I'm uncertain how I'm supposed to obtain Q from the dQ/dt graph, in order to determine capacitance.
someone please shed some light -.-
 
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This is just an assumption that I thought: Hope it helps
The ammeter is recording current as a function of time, so the reading is actually I/t.
From here we can calculate Q.
Q = I from ammeter readings . t
the I is the reading from the ammeter, so it becomes Q = I/t . t
the t cancel out so Q = I
Does it makes sense?
 
the usual way to measure the capacitance works with an ac voltage source!

Your way is to vague!
 
mikel2009 said:
The voltage is a given, however I'm uncertain how I'm supposed to obtain Q from the dQ/dt graph, in order to determine capacitance.
someone please shed some light -.-
Have you had integrals in calculus class?

jk0921 said:
This is just an assumption that I thought: Hope it helps
The ammeter is recording current as a function of time, so the reading is actually I/t.
Well, not really. The ammeter reading is I, period.

saunderson said:
the usual way to measure the capacitance works with an ac voltage source!

Your way is to vague!
It's not "his way", it's the way given in the problem statement and he is stuck with it. :smile:
 
You answered this yourself with the provided equations.

Differentiate C = Q/V
Bearing in mind that I = dQ/dt as well as the nature of a capacitance of a capacitor

Then look at what you are provided and it's very simple. Note the function of time parts of the question.

P.S. aren't you leaving this a bit late ;)
 

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