Whats the average current does this rotating charge represent

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Homework Help Overview

The problem involves a small sphere with a charge of 8.34 nC that is rotating in a circle at an angular speed of 116 π rad/s. The question seeks to determine the average current represented by this rotating charge.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between charge and time in calculating current, with some attempting to convert angular speed into revolutions per second. Questions are raised about the units of current and the relevance of radians in the context of the problem.

Discussion Status

The discussion is ongoing, with various participants exploring different interpretations of the problem. Some have provided insights into the necessary calculations, while others question the assumptions regarding units and conversions.

Contextual Notes

There is a focus on understanding the relationship between angular speed and the frequency of charge passing a point, as well as clarifying the units involved in the calculation of current.

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Homework Statement



a small sphere carries a charge of 8.34nC in whirled in a circle at the end of an insulating string. The angular speed is 116 Pi rad/s. what's the average current does this rotating charge represent

Homework Equations



I= q/t
w= theta/t

The Attempt at a Solution


116 pi rad/sec * 1 rev/min
 
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What is current?

What units are you asked to represent it in?

It might be useful to figure how many times the charge will pass a particular point a sec.

They give you that it revolves at 116π radians/sec so how many times a sec ?
 


Current is I (amps) where its charge(Q) / (t) times in secs. so 116/60?, is it 8.34x1e-9/ (116 pi/60)?
 


xswtxoj said:
Current is I (amps) where its charge(Q) / (t) times in secs. so 116/60?, is it 8.34x1e-9/ (116 pi/60)?

1. How many radians in a revolution?

2. What's with the 60, when they give you ω in radians/sec already?
 


116 pi rad/ sec * 60secs/1 min* 1rev/2pi rad
 


xswtxoj said:
116 pi rad/ sec * 60secs/1 min* 1rev/2pi rad

Why do you want it in radians/minute when current is in amps which are Coulombs/s?
 

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