Скачать или смотреть Energy of the electron in an orbit

In this video, we dive into the concept of the total energy of an electron in a Bohr atom! We’ll cover the kinetic energy, potential energy, and how they combine to give the total energy of the electron in the
𝑛
n-th orbit.

📌 Key Points Covered:

Kinetic Energy (
𝑇
T) of the electron:
𝑇
=
𝑒
2
8
𝜋
𝜖
0
𝑟
T=
8πϵ
0
​
r
e
2

​


Potential Energy (
𝑉
V) of the electron:
𝑉
=
−
𝑒
2
4
𝜋
𝜖
0
𝑟
V=−
4πϵ
0
​
r
e
2

​

(The negative sign indicates that work is needed to move the electron away from the nucleus.)

Total Energy (
𝐸
E) of the electron:
𝐸
=
𝑇
+
𝑉
=
−
𝑒
2
8
𝜋
𝜖
0
𝑟
E=T+V=−
8πϵ
0
​
r
e
2

​


Energy in the
𝑛
n-th Orbit:
Substituting the radius
𝑟
r into the total energy equation, we get:
𝐸
𝑛
=
𝑚
𝑒
4
8
𝜖
0
2
𝑛
2
ℎ
2
E
n
​
=
8ϵ
0
2
​
n
2
h
2

me
4

​


📚 This video is perfect for understanding the energy levels in a hydrogen atom and how Bohr's model explains them. A must-watch for physics students preparing for exams!

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