How Does Electric Force Affect Acceleration in Charged Objects?

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Homework Help Overview

The problem involves a charged rod and a charged stirrer, focusing on the electric force and its effect on the acceleration of the stirrer. The context is within electrostatics, specifically examining forces between charged objects.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the nature of the charged rod, questioning whether it should be treated as a finite or infinite line charge. There are suggestions to use trigonometric substitution to simplify the calculations related to the electric field. Some participants express uncertainty about the reasonableness of the calculated acceleration.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem setup and mathematical approaches. Some guidance has been offered regarding the use of trigonometric substitution, but there is no consensus on the final calculations or results.

Contextual Notes

There is mention of missing algebraic solutions and constraints related to the problem setup, such as the specific distances and charge values involved.

HaLAA
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Homework Statement


Question: There is a fixed 55 cm long rod (vertical) that is charged uniformly up to +137 nC, Place a 0.5 g plastic 6 cm long stirrer (horizontal) that is charge to +93 nC, 2.3 cm away from the rod

Calculate the Electric force and acceleration on the stirrer .

Homework Equations


E=Q/4piε r√r^2+(l/2)^2
F=qE=ma

The Attempt at a Solution


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I guess you meant 'finite line', not infinite.
Try a trig substitution for r. What is suggested by the r2+constant part?
 
haruspex said:
I guess you meant 'finite line', not infinite.
Try a trig substitution for r. What is suggested by the r2+constant part?
Let r =sqrt (l/2) tantheta?
 
HaLAA said:
Let r =sqrt (l/2) tantheta?
Looks good.
 
haruspex said:
Looks good.
Is that reasonable to get a=0.003m/s^2 ?
 
HaLAA said:
Is that reasonable to get a=0.003m/s^2 ?
Not sure. Please post what you get algebraically for the solution to the integral.
 
haruspex said:
Not sure. Please post what you get algebraically for the solution to the integral.
Sorry, I left it at school
 

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