Calculating the Average Current of a Rotating Charge q | Insulating String

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Homework Help Overview

The problem involves a small sphere carrying a charge q that is rotated in a circle using an insulating string. The objective is to determine the average current represented by this rotating charge, with the angular frequency denoted as omega (ω).

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the nature of current in relation to a charge that remains constant while moving in a circle. Questions arise about the interpretation of dq/dt and whether this scenario can be likened to alternating current.

Discussion Status

Some participants have offered insights into the relationship between charge and time, suggesting formulas related to average current. There appears to be a mix of interpretations regarding the nature of current in this context, with no explicit consensus reached.

Contextual Notes

Participants note that the problem may involve concepts not yet covered in their studies, such as alternating current, which adds to the complexity of understanding the scenario.

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[SOLVED] really weird one

Homework Statement

A small sphere that carries a charge q is whirled in a circle at the end of an insulating string. the angular frequencyy of rotation is omega [w]. What average current does this rotating charge represent?



Homework Equations

I = dQ/dt; w = 2(pi)/T; x[t] = Acos[wt +C];



The Attempt at a Solution

; this question doesn't make sense to me. q never changes - it just travels in a circle - so dq/dt =0;there is one charge going in a circle, but not axially which would represent charge in a conduit. is this a picture of alternating current? [we haven't gotten to that yet].
 
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Current is the net charge per unit time passing a given point. On any point on the circumference, what is that value?
 
That would be qw = charge per second. surely not that simple. thanks
 
Should be q/T = qw/2pi.
 
thanks shooting star!
 

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