Uniform electric field and a proton

In summary, the problem involves a proton moving at 4.50x10^5 m/s in the horizontal direction entering a uniform vertical electric field with a magnitude of 9.60x10^3 N/C. The goal is to find the time interval required for the proton to travel 5.00 cm horizontally, its vertical displacement during that time interval, and the horizontal and vertical components of its velocity after traveling 5.00 cm horizontally. The formula for acceleration is a=qE/m, where q is the charge and E is the electric field. To find E, we first need to calculate the acceleration and then separate the x and y components, treating it like a projectile under gravity. The charge
  • #1
tag16
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0

Homework Statement


A proton moves at 4.50x10^5 m/s in the horizontal direction. It enters a uniform vertical electric field with a magnitude of 9.60x10^3 N/C. Ignoring any gravitational effects, find a) the time interval required for the proton to travel 5.00 cm horizontally b) its vertical displacement during the time interval in which it travels 5.00 cm horizontally c) the horizontal and vertical components of its velocity after it has traveled 5.00 cm horizontally.

Homework Equations


a= qE/m


The Attempt at a Solution



I know I need to use the above equation at some point in this problem but I have no idea how to go about finding the time interval.
 
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  • #2
Hi tag16! :smile:

Treat this exactly as you would a projectile under gravity …

calculate the acceleration, and do the x and y components separately. :wink:
 
  • #3
ok for the formula for acceleration a=qE/m how do you find E? q= 9.60x10^3 right? thanks
 
  • #4
(try using the X2 tag just above the Reply box :wink:)
tag16 said:
ok for the formula for acceleration a=qE/m how do you find E? q= 9.60x10^3 right? thanks
No, q is charge, and is in coulombs (C)

E is the field, in Newtons per coulomb (N/C) … E = 9.60x103 :smile:
 
  • #5
ok...not sure how to figure out q then since it's not given in the problem.
 
  • #6
It's the same as the charge on an electron (times minus-one, of course) … does that help? :smile:
 
  • #7
oh yeah I forgot about that...1.602x10^-19
 

FAQ: Uniform electric field and a proton

What is a uniform electric field?

A uniform electric field is a region in space where the electric field strength is constant and has the same direction at all points. This means that a charged particle placed in a uniform electric field will experience the same force at any point in the field.

How is a uniform electric field created?

A uniform electric field can be created by placing two parallel plates with opposite charges close to each other. The field lines between the plates are parallel and have the same magnitude, resulting in a uniform electric field between the plates.

What is the direction of the electric field in a uniform electric field?

In a uniform electric field, the electric field lines are parallel and point in the same direction. The direction of the field is from the positive plate to the negative plate.

What is the effect of a uniform electric field on a proton?

A proton placed in a uniform electric field will experience a force in the direction of the electric field. This force will cause the proton to accelerate in the direction of the field.

How is the force on a proton in a uniform electric field calculated?

The force on a proton in a uniform electric field can be calculated using the equation F=qE, where F is the force, q is the charge of the proton, and E is the strength of the electric field.

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