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

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In summary, the question asks what average current is represented by a small sphere carrying a charge and rotating in a circle. The answer is q/T = qw/2pi.
  • #1
eagleswings
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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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  • #2
Current is the net charge per unit time passing a given point. On any point on the circumference, what is that value?
 
  • #3
That would be qw = charge per second. surely not that simple. thanks
 
  • #4
Should be q/T = qw/2pi.
 
  • #5
thanks shooting star!
 

What is the formula for calculating the average current of a rotating charge?

The formula for calculating the average current of a rotating charge is I = qω/2π, where I is the average current, q is the charge, and ω is the angular velocity of the rotating charge.

How do you calculate the angular velocity of a rotating charge?

The angular velocity of a rotating charge can be calculated by dividing the angular displacement (θ) by the time taken (t) for the rotation to occur. This can be expressed as ω = θ/t.

What units are used for the average current of a rotating charge?

The average current of a rotating charge is typically measured in amperes (A), which is the unit for electric current. However, it can also be expressed in coulombs per second (C/s).

How does the insulating string affect the average current of a rotating charge?

The insulating string does not directly affect the average current of a rotating charge. However, it can impact the angular velocity of the charge, which in turn affects the average current. For example, a shorter string may result in a higher angular velocity and therefore a higher average current.

What are some real-world applications of calculating the average current of a rotating charge?

Calculating the average current of a rotating charge is important in various fields such as electrical engineering, electromagnetism, and physics. It can be used in the design of electric motors, generators, and other rotating electrical devices. It is also useful in understanding the behavior of charged particles in magnetic fields and in studying the principles of electromagnetic induction.

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