The shell theorem tells you that a uniformly charge sphere or spherical shell creates the same external electric field as a point charge with the same total charge. And, the field inside a uniformly charged spherical shell is zero.Lotto said:TL;DR Summary: We can say that the balloon has a center of mass circa in the middle. When we charge the balloon so that charge density is everywhere the same, can we say that the center of the total charge is in the middel as well?
Doing so, we can consider the balloon to be a point charge (approximately). Can we do it in this case, when there are only electrons on its surface? Or is it stupid and we can't do it under any circumstances?
And if I have two charged balloons and distance between their centers of masses is ##r##, can we say ##F_\mathrm e=k\frac {Q_1 Q_2}{r^2}##?PeroK said:The shell theorem tells you that a uniformly charge sphere or spherical shell creates the same external electric field as a point charge with the same total charge. And, the field inside a uniformly charged spherical shell is zero.
You should look up a proof of the shell theorem. It applies to electric fields and gravitational fields and, in fact, anything that obeys the inverse square law.
As long as they are spherical and uniformly charged - and assuming the centre of mass is at the geometric centre of the circle - then yes!Lotto said:And if I have two charged balloons and distance between their centers of masses is ##r##, can we say ##F_\mathrm e=k\frac {Q_1 Q_2}{r^2}##?
To the extent that the balloons are spherical, have a uniform thickness (so a spherically symmetric mass distribution) and that the balloons are non-conducting so that a spherically symmetric charge distribution matching the uniform mass distribution is not affected by the approach of the other charged balloon, the answer is yes. The formula will work.Lotto said:And if I have two charged balloons and distance between their centers of masses is ##r##, can we say ##F_\mathrm e=k\frac {Q_1 Q_2}{r^2}##?
Any distribution of point charges can be approximated as a single point charge if you are far enough away from it.Lotto said:Doing so, we can consider the balloon to be a point charge (approximately).
The center of charge of a charged balloon refers to the point within the balloon where the total positive and negative charges cancel out and the net charge is zero.
The center of charge can be determined by balancing the balloon on a pivot point and observing where it comes to rest, as this indicates the point where the net charge is evenly distributed.
Yes, the center of charge can change if the distribution of charges within the balloon changes. For example, if more negative charges are added to one side of the balloon, the center of charge will shift towards that side.
No, the center of charge may not always be in the exact center of the balloon. It depends on the distribution of charges within the balloon. However, it will always be located within the balloon, as the net charge cannot exist outside of the balloon.
Determining the center of charge of a charged balloon can help us understand the behavior of electric fields and how they interact with other objects. It also allows us to predict the movement of the balloon and other charged objects in its vicinity.