- #1

jisbon

- 476

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- Homework Statement
- Consider a long line of charge with linear charge density λ=4μC/m

There is a point charge mass 0.1kg, q= −2μC at coordinate (-2,0) at t=0.

A point charge is then launched into the paper.

What is the launch velocity so point charge can reach coordinate (-2,0)?

- Relevant Equations
- ##E=\frac{\lambda}{2\pi r\epsilon_{0}}##

##a= \frac{\epsilon_{0} q}{m}##

I'm not sure how to proceed with this, but here are my findings/hypothesis:

First we find the electric field contributed by the plate with ##E=\frac{\lambda}{2\pi r\epsilon_{0}}## where r=2?

After finding out the electric field, is it safe to assume I can find the acceleration of the point charge using ##a= \frac{\epsilon_{0} q}{m}##? What do I do to the charge of the particle then? Am I calculating the wrong thing? Should I instead be calculating something else?

After finding out the acceleration, I am then supposed to find the initial velocity, which can be explained using kinematics equation am I right?

Please advice. Thank you.

Diagram as follows:

First we find the electric field contributed by the plate with ##E=\frac{\lambda}{2\pi r\epsilon_{0}}## where r=2?

After finding out the electric field, is it safe to assume I can find the acceleration of the point charge using ##a= \frac{\epsilon_{0} q}{m}##? What do I do to the charge of the particle then? Am I calculating the wrong thing? Should I instead be calculating something else?

After finding out the acceleration, I am then supposed to find the initial velocity, which can be explained using kinematics equation am I right?

Please advice. Thank you.

Diagram as follows: