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This needs to be done with Coulomb's Law:
A ring of radius R has a charge distribution on it that goes as [tex] \lambda (\theta)= \lambda_0 sin \theta [/tex] as shown in the figure below:
http://img506.imageshack.us/img506/8898/naamloos2iz.th.gif
In what direction does the field at the center of the ring point & what is the magnitude of the field at the center of the ring?
My first reaction was: there is no field in the center, cause all the field lines cancel (take a point on the ring and another one facing it: the first one has lambda as charge distribution and the other one has - lambda (cause it's described by the -sin of the same angle theta as the first one)
So what do I actually need to do? Can anybody please give me a little start?
A ring of radius R has a charge distribution on it that goes as [tex] \lambda (\theta)= \lambda_0 sin \theta [/tex] as shown in the figure below:
http://img506.imageshack.us/img506/8898/naamloos2iz.th.gif
In what direction does the field at the center of the ring point & what is the magnitude of the field at the center of the ring?
My first reaction was: there is no field in the center, cause all the field lines cancel (take a point on the ring and another one facing it: the first one has lambda as charge distribution and the other one has - lambda (cause it's described by the -sin of the same angle theta as the first one)
So what do I actually need to do? Can anybody please give me a little start?
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