Measuring Capacitance given a voltmeter + ammeter

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Homework Help Overview

The discussion revolves around measuring the capacitance of an industrial capacitor using a battery, a digital voltmeter, a digital ammeter, copper plates, and wires. The original poster expresses confusion about how to derive charge (Q) from the current (I) readings over time to calculate capacitance.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the relationship between current and charge, with one suggesting that Q can be derived from the ammeter readings over time. Others question the clarity of this approach and suggest that the usual method involves an AC voltage source.

Discussion Status

The conversation is ongoing, with participants providing various interpretations of the problem and attempting to clarify the original poster's understanding of the equations involved. Some guidance has been offered regarding the relationship between current and charge, but no consensus has been reached on the best approach to take.

Contextual Notes

There is mention of a second segment of the question that the original poster claims to understand, but details on this are not provided. The discussion also reflects uncertainty about the applicability of standard methods for measuring capacitance in this context.

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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