Measuring Capacitance given a voltmeter + ammeter

In summary, to measure the capacitance of the industrial capacitor using the given materials, one can use the equation C=Q/V and differentiate it to obtain I=dQ/dt. By observing the dQ/dt graph from the digital ammeter and using the given equations and information, one can calculate the capacitance of the capacitor. It is important to note the function of time aspect in this problem.
  • #1
mikel2009
1
0

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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  • #2
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?
 
  • #3
the usual way to measure the capacitance works with an ac voltage source!

Your way is to vague!
 
  • #4
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:
 
  • #5
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 ;)
 

FAQ: Measuring Capacitance given a voltmeter + ammeter

What is capacitance?

Capacitance is the measure of an object's ability to store an electric charge. It is measured in units of farads (F).

What is a voltmeter?

A voltmeter is a measuring instrument used to measure the potential difference between two points in an electric circuit. It is typically connected in parallel to the circuit.

What is an ammeter?

An ammeter is a measuring instrument used to measure the current flowing through an electric circuit. It is typically connected in series to the circuit.

How do you measure capacitance with a voltmeter and ammeter?

To measure capacitance, you will need to first charge the capacitor to a known voltage using a voltmeter. Then, you can use an ammeter to measure the current flowing through the capacitor. The capacitance can then be calculated using the formula C = I/V, where C is capacitance, I is current, and V is voltage.

What are some common sources of error when measuring capacitance with a voltmeter and ammeter?

Some common sources of error include the resistance of the wires used to connect the voltmeter and ammeter, as well as the resistance of the voltmeter and ammeter themselves. These can affect the accuracy of the measurements and should be taken into account when calculating capacitance.

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