Calculate Speed of Electron Reaching Plate B in Parallel Plates

In summary, the problem involves two oppositely charged parallel plates with a uniform electric field between them. The potential difference between the plates is +25.0 V. An electron with a mass of 9.11 × 10−31 kg and a charge of −1.60 × 10−19 C is released from rest at plate a. The speed of the electron when it reaches plate b can be calculated using the formula E=V/d and conservation of energy, resulting in a speed of 2.96 × 10^6 m/s.
  • #1
unhip_crayon
34
0

Homework Statement



Two oppositely charged parallel plates, 13.0 cm apart, have a uniform electric
field between them. Vb − Va = +25.0 V. An electron with a mass of
9.11 × 10−31 kg and a charge of −1.60 × 10−19 C is released from rest at plate a.
Calculate the speed of the electron when it reaches plate b.

| |
| |
| |
a b



The Attempt at a Solution



E=V/d = 25/.13 = 192.3J

I also need you need to find accel. but I am not sure how.

please help, thanks
 
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  • #2
unhip_crayon said:

Homework Statement



Two oppositely charged parallel plates, 13.0 cm apart, have a uniform electric
field between them. Vb − Va = +25.0 V. An electron with a mass of
9.11 × 10−31 kg and a charge of −1.60 × 10−19 C is released from rest at plate a.
Calculate the speed of the electron when it reaches plate b.

| |
| |
| |
a b



The Attempt at a Solution



E=V/d = 25/.13 = 192.3J

I also need you need to find accel. but I am not sure how.

please help, thanks


What is the equation for the electric force on a charge in an electric field?
 
  • #3
E=kq/d^2
 
  • #4
Use conservation of energy.
 
  • #5
oh, and the answer is

2.96 × 10^6 m/s
 
  • #6
Vq=1/2mv^2But I am still getting the wrong answer
 
Last edited:

1. How do you calculate the speed of an electron reaching Plate B in parallel plates?

The speed of an electron reaching Plate B in parallel plates can be calculated using the formula v = E*d/m, where v is the speed, E is the electric field strength, d is the distance between the plates, and m is the mass of the electron.

2. What is the electric field strength between parallel plates?

The electric field strength between parallel plates can be calculated using the formula E = V/d, where E is the electric field strength, V is the voltage between the plates, and d is the distance between the plates.

3. How does the distance between the plates affect the speed of the electron?

The distance between the plates has a direct effect on the speed of the electron. As the distance increases, the speed of the electron decreases, and vice versa.

4. Can the speed of the electron be greater than the speed of light?

No, the speed of an electron in a vacuum cannot exceed the speed of light, which is approximately 3 x 10^8 meters per second.

5. What other factors can affect the speed of the electron reaching Plate B?

Other factors that can affect the speed of the electron reaching Plate B include the voltage between the plates, the material of the plates, and external forces such as magnetic fields.

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