# Charged Particle Travelling Through Electric Field

pdeco1

## Homework Statement

A uniform electric field is non zero in a 20x10m region at the surface of the earth. Determine the direction and magnitude of the total vertical deflection of the incoming charged particle by the time it exits the region. The charged particle is traveling horizontal through the electric field which is pointing down.

q= -10^-4 C
v= 1000m/s
m= .01 kg
g= 10m/s^2

E = 500N/m downward.

F= qE + mg
a = qE/m
x = vt

## The Attempt at a Solution

E, given in Newtons per meter is giving me problems.

I know the horizontal velocity is unchanged due to the perpendicular forces.
Vertical velocity and displacement can be found through kinematics when E is N/C.

Homework Helper

## Homework Statement

A uniform electric field is non zero in a 20x10m region at the surface of the earth. Determine the direction and magnitude of the total vertical deflection of the incoming charged particle by the time it exits the region. The charged particle is traveling horizontal through the electric field which is pointing down.

q= -10^-4 C
v= 1000m/s
m= .01 kg
g= 10m/s^2

E = 500N/m downward.

## Homework Equations

F= qE + mg
a = qE/m
x = vt
You should never write formulas without stating what the parameter represent.

## The Attempt at a Solution

E, given in Newtons per meter is giving me problems. [/quote]
It certainly should! "qE" as a force only makes sense when E is in "Newtons per coulomb"
or "Newtons per electron volt". Who told you that E was in "Newtons per meter"?

I know the horizontal velocity is unchanged due to the perpendicular forces.
Vertical velocity and displacement can be found through kinematics when E is N/C.

pdeco1
The question states E in Newtons/meter. I emailed my professor but he has yet to get back to me.

Edit: Was a typo on the homework. It is in N/C.

I am not sure where to include gravity. Is the Force in the vertical direction (F = qE -mg) Since the electric field creates an upward force on the particle but gravity creates a downward force?

I can find the time by x/v=t

I can find the vertical acceleration by a=qE/m or do I include gravity somehow?

Then I can find the vertical displacement by: y=vt + .5at^2 with vertical velocity initial = 0?

Is the vertical deflection just y?

Last edited:
pdeco1
Bump!

pdeco1
I would love some expert input.

The particle holds a (-) charge, so the electric field force would move the particle upwards, but the gravitational force will push the particle down.

Using the formula F = qE + m(-g) the Force = -.05N, the - indicating an overall Force in the downward direction.

Using a =qE/m I found the acceleration to be 5m/s(squared)

using y= .5at^2 = .5 x 5 x 4*10^-4 = .001

Thanks!

Last edited: