The Liénard-Wiechert potential is a way of describing how electrically charged objects interact with each other. It's like when you throw a ball at someone and it hits them. The ball carries energy, and when it hits someone, it transfers that energy to them. The Liénard-Wiechert potential is like that, but for electric charges.
Imagine you are standing in a dark room with a flashlight. If you turn on the flashlight and shine it on a wall, you will see a bright spot on the wall where the light hits it. This is because the light travels in a straight line from the flashlight to the wall.
Now, imagine that instead of a flashlight, you have an electric charge. Electric charges create an electric field around them, just like a flashlight creates light. When another electric charge enters this electric field, it feels a force. This force can push the charges apart or cause them to attract each other.
The Liénard-Wiechert potential describes how this electric field changes over time. When one electric charge moves or changes, it creates a ripple in the electric field that travels outwards. This ripple is called an electromagnetic wave.
So, just like when you throw a ball and it creates a ripple in the air, when an electric charge moves, it creates a ripple in the electric field. This ripple is an electromagnetic wave that propagates outwards from the moving charge.
The Liénard-Wiechert potential describes how these electromagnetic waves propagate in space and how they interact with other electric charges. Because the waves travel at the speed of light, they can take time to reach other charges, just like it takes time for your voice to reach someone who is far away.
In summary, the Liénard-Wiechert potential is a way of describing how electric charges interact with each other. When one charge moves, it creates electromagnetic waves that travel outwards and affect other charges. These waves propagate at the speed of light and can take time to reach other charges.