Calculating Electron Speed Between Two Point Charges

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Homework Help Overview

The problem involves calculating the speed of an electron released from rest between two stationary point charges of +3.00 nC and +2.00 nC, separated by 50.0 cm. The electron moves towards one of the charges, and the question focuses on its speed when it is 10.0 cm from the +3.00 nC charge.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of energy conservation principles and electric potential differences in their attempts to solve the problem. There is confusion regarding the application of a specific formula for velocity and the calculation of potential differences.

Discussion Status

The discussion is ongoing, with participants questioning the validity of the equations used and exploring the conservation of energy approach. Some guidance has been offered regarding the need to calculate electric potentials for point charges.

Contextual Notes

There is uncertainty about the correct application of formulas and the initial conditions of the electron's energy. Participants are also navigating the implications of using different reference points for potential energy calculations.

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Homework Statement



Two stationary point charges + 3.00 {\rm nC} and + 2.00 {\rm nC} are separated by a distance of 50.0 \rm cm. An electron is released from rest at a point midway between the two charges and moves along the line connecting the two charges

Homework Equations


What is the speed of the electron when it is 10.0 \rm cm from the + 3.00- {\rm nC} charge?


The Attempt at a Solution



Dont know where i am going wrong and need to inpout this like now!

using

v = sqrt(2Q(Va-Vb)/m)

Got Va-Vb = 225

then surely i just chuck in the value for Q of an Electron and the Mass!

But no work!
 
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weathercheck said:
using
v = sqrt(2Q(Va-Vb)/m)

Got Va-Vb = 225

How the heck did you get that? You don't know what v is!

I don't know where you pulled that equation from, but it's definitely not the one you want to be using here. Treat this as a problem in conservation of energy. What is the energy of the electron when it is midway between the two charges? What is the energy once it has moved 50cm?
 
i said 0 + q0Va = 1/2mv^2 + q0Vb
 
That's true, but you're skipping over the important details. You have a formula for calculating the electric potentials of point charges, right?
 

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