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

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The discussion revolves around calculating the average current of a rotating charge q on an insulating string. The key point is that while the charge does not change (dq/dt = 0), it still represents a current due to its circular motion. The average current can be derived from the relationship I = q/T, where T is the period of rotation. The equation I = qw/2π is suggested as a way to express the current in terms of angular frequency. The conversation highlights the confusion around the concept of current in this context, ultimately leading to a clearer understanding of the average current for a rotating charge.
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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!
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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