Electron in a uniform field, acceleration

In summary, an electron with an initial velocity of 2.5 × 106 m/s in the x direction enters a uniform electric field of ~E = (320 N/C) ˆj in the y direction. The charge and mass of the electron are 1.6×10−19 C and 9.11×10−31 kg, respectively. Using the equation a=QE/m, the acceleration of the electron can be found to be 5.62 × 1013 m/s2, upward.
  • #1
Specialmias
5
0

Homework Statement



An electron has an initial velocity of 2.5 ×
106 m/s in the x direction. It enters a uniform
electric field ~E = (320 N/C) ˆj which is in the
y direction.
The charge and mass of an electron are
1.6×10−19 C and 9.11×10−31 kg, respectively.
Find the acceleration of the electron. An-
swer in units of m/s2.

Homework Equations



MA=QE
a=QE/m



The Attempt at a Solution



320*(1.6e-19)/(9.11e-31)= 5.62019759e13
Attempted to insert exactly as shown and was marked wrong. I can't seem to find a reason why the answer to this is wrong and I've hit a bit of roadblock so to speak

Any help is appreciated
 
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  • #2
I'm not exactly sure but could the fact that the Electric field is going in the y direction while the electron is moving in the x direction?
 
  • #3
Your answer looks good to me.
The acceleration will be upward - have you a way to indicate the direction in your entry?
Also, you have used 3-digit accuracy in e, m and E so your final answer should be rounded to 3 digits.
 

Related to Electron in a uniform field, acceleration

1. What is an electron in a uniform field?

An electron in a uniform field refers to the movement of an electron in a constant electric field, meaning the strength and direction of the field remains the same at all points.

2. How does an electron accelerate in a uniform field?

An electron accelerates in a uniform field due to the force of the electric field acting on it. The acceleration of the electron is directly proportional to the strength of the electric field and the charge of the electron.

3. What is the equation for the acceleration of an electron in a uniform field?

The equation for the acceleration of an electron in a uniform field is a = qE/m, where a is the acceleration, q is the charge of the electron, E is the strength of the electric field, and m is the mass of the electron.

4. How does the direction of the electric field affect the acceleration of an electron?

The direction of the electric field determines the direction of the acceleration of the electron. If the electric field is in the same direction as the motion of the electron, the electron will accelerate in the direction of the field. If the electric field is in the opposite direction, the electron will decelerate.

5. Can the acceleration of an electron in a uniform field be negative?

Yes, the acceleration of an electron in a uniform field can be negative if the electric field is in the opposite direction of the electron's motion. This means that the electron is decelerating instead of accelerating.

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