What do we mean by the charge on a body is denoted by "q"?

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Discussion Overview

The discussion revolves around the meaning of the notation "q" used to denote electric charge on a body. Participants explore the implications of this notation, the significance of charge values such as +2, and the conceptual understanding of electric charge as a property of subatomic particles. The scope includes theoretical and conceptual clarifications regarding electric charge and its representation in equations.

Discussion Character

  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants question what is meant by the charge on a body being denoted by "q" and whether it refers to a property or a measurement.
  • Others propose that "q" is simply a variable representing the quantity of charge, similar to how "x" is used in mathematics, and that it has units in Coulombs.
  • It is suggested that a charge of +2 could be interpreted as +2 times the elementary charge |e|, which is approximately 1.6 x 10-19C.
  • Some participants emphasize the importance of context, stating that "charge +2" is meaningless without units, while "+2C" is well-defined.
  • There are discussions about the concept of excess charge in macroscopic bodies, which contain nearly equal amounts of positive and negative charges, leading to an excess of one type.
  • Participants express uncertainty about the distinction between "amount" and "numeric value" of charge, with some asserting that charge can be both positive and negative.
  • Several participants seek confirmation of their understanding of the phrase "the charge on a body," suggesting it refers to the numeric value of charge measured and denoted by "q."
  • There is a mention that the notation "q" can represent a variable charge, not necessarily requiring measurement.
  • Some participants note that the statement "the charge on a body is denoted by 'q'" should be self-explanatory in a physics context.

Areas of Agreement / Disagreement

Participants express various interpretations of the notation "q" and the concept of charge, leading to multiple competing views. The discussion remains unresolved regarding the precise implications of these terms and their usage.

Contextual Notes

Some participants highlight the need for context when discussing charge values, as the meaning can change based on whether units are specified. There is also a recognition that the concept of charge includes both positive and negative values, which adds complexity to the discussion.

  • #31
SHASHWAT PRATAP SING said:
Sorry, jbriggs444
jbriggs444 here I am just telling that what does q= +2C mean.

What does the m=10kg mean?
The charge of "something" (say a body) is physical property in the same way that mass or volume are properties.
It is pointless to try to "explain" this by thinking about the number of charged elementary particles. You would presumably not try to "explain" the mass of a body by saying that it is the number of atoms multiplied by some constant, or?

Also, there is not need for the total charge to be a multiple of e, there are lots of situations where this is not tru; for example because of screening or because you are measuring say the average value of a dynamic process.
See e.g. single electron transistors (SETs) or Coloumb blockade.
 
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  • #32
f95toli said:
What does the m=10kg mean?
The charge of "something" (say a body) is physical property in the same way that mass or volume are properties.
It is pointless to try to "explain" this by thinking about the number of charged elementary particles. You would presumably not try to "explain" the mass of a body by saying that it is the number of atoms multiplied by some constant, or?

I now this that-
Electric Charge is a characteristic property of Subatomic particles.

My question was this-
what does it mean by this line--> the charge on a body is denoted by q.

and for this I have written-

Ok, so this line--> "The charge on a body is denoted by q" means here we are talking about the amount of charge on a body.
So, q denotes the amount of charge on a body which is of the form --> q= ne

and we can choose to express that value as a number and a unit of measure.
 
  • #33
I observe your statement is clear. I have no other interpretation.
 
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  • #34
SHASHWAT PRATAP SING said:
I now this that-
Electric Charge is a characteristic property of Subatomic particles.]

That depends on what you mean . It is of course true that charge ultimately comes from subatomic particles, but there are -as was mentioned above- many situation where the charge you can detect and measure comes from for example quasiparticles and exctions and since these are many-body effects you shouldn't (and mostly can't) relate their charge to subatomic particles (this is the reason for why quasiparticles can have fractional charges less than that of a single electron)
So, q denotes the amount of charge on a body which is of the form --> q= ne
Again, this is not usually correct. Charge is usually a continuous variable (it is actually quite difficult to experimentally realize a situation where charge is quantised ) and can take any value, not just multiples of e.

See e.g. the spectrum of a Cooper pair box or a charge qubit if you want to see some experimental data.
 
  • #35
SHASHWAT PRATAP SING said:
My question is What does this line mean "the charge on a body" ?
Would it have helped to introduce the idea of 'Net Charge'. Any body will have a huge number of equal and opposite charges in it but it is the imbalance or Net Charge that is often what matters. A Carbon and a Gold ball of equal dimensions will both cary the same (net) charge when charged to the same potential, although their total number of protons and electrons will be very different.
 
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  • #36
sophiecentaur, you tell me am I correct here ?

Ok, so this line--> "The charge on a body is denoted by q" means here we are talking about the amount of charge on a body.
So, q denotes the amount of charge on a body which is of the form --> q= ne

and we can choose to express that value as a number and a unit of measure.

Suppose If we are given this equation q=+2C , so this means that a body has the property of electric charge and the amount of electric charge this body has is +2C, Which is represented by q.
 
  • #37
SHASHWAT PRATAP SING said:
This means that suppose a body has the property of electric charge and we measure it and it was found out to be +2C. So, we denote this +2C by q. Thus, this equation q=+2C is the mathematical representation of the above statement.
You have written the above at least four times, but still don't seem to be getting it, and you're really overthinking things. What you have written is very verbose -- much of what you have written can be omitted with no loss of meaning.
A clearer way to say this would be "A body has a charge q of 2 C (2 Coulombs)."

Although the charge q is a function of the number of excess or absent electrons, we don't normally write the charge as some constant n times e, the charge on an electron. Instead we measure the charge in Coulombs.
The letter q is used to represent the charge.

Instead, we write this in terms of Coulombs.
SHASHWAT PRATAP SING said:
And after measuring this propety ,We denote this amount of charge(numeric value) by q.
SHASHWAT PRATAP SING said:
Suppose If we are given this equation q=+2C , so this means that a body has the property of electric charge and the amount of electric charge this body has is +2C, Which is represented by q.
SHASHWAT PRATAP SING said:
Suppose If we are given this equation q=+2C , so this means that a body has the property of electric charge and the amount of electric charge this body has is +2C, Which is represented by q.
so, we write q= +2C
I have quoted some of your repeated statements from posts #7, #21, #21, and I believe, #30.
You keep asking the same question, which has been amply answered. Instead of repeatedly asking the same question over and over, spend some time reviewing your textbook's presentation on charge.

Thread closed.
 
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