Calculating Electron Speed Between Two Point Charges

In summary, the problem involves two stationary point charges (+3.00 nC and +2.00 nC) separated by a distance of 50.0 cm. An electron is released from rest at a point midway between the two charges and moves along the line connecting them. The question asks for the speed of the electron when it is 10.0 cm from the +3.00 nC charge. The attempt at a solution involved using the formula v = sqrt(2Q(Va-Vb)/m), but the correct approach is to treat the problem as a conservation of energy problem, taking into account the electric potentials of the two charges.
  • #1
weathercheck
26
0

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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  • #2
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?
 
  • #3
i said 0 + q0Va = 1/2mv^2 + q0Vb
 
  • #4
That's true, but you're skipping over the important details. You have a formula for calculating the electric potentials of point charges, right?
 

Related to Calculating Electron Speed Between Two Point Charges

1. What are the two types of charges and their properties?

The two types of charges are positive and negative. Positive charges have a higher concentration of protons than electrons, while negative charges have a higher concentration of electrons than protons. Like charges repel each other, while opposite charges attract.

2. How does the number of charges affect the strength of an electric field?

The number of charges directly affects the strength of an electric field. The more charges present, the stronger the electric field will be. This is because more charges create a larger force between them, leading to a stronger electric field.

3. What is the unit of measurement for electric charge?

The unit of measurement for electric charge is Coulomb (C). One Coulomb is equivalent to the charge of 6.24 x 10^18 electrons.

4. What is the charge of an electron?

The charge of an electron is -1.6 x 10^-19 Coulombs. This is the smallest unit of negative charge and is considered the fundamental unit of electric charge.

5. How does the movement of electrons contribute to electricity?

The movement of electrons is what creates electricity. When electrons flow from one place to another, they create an electric current. This current can then be harnessed to power various devices and systems, making electricity an essential part of modern technology and daily life.

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