(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A ring of radiusahas a charge distribution on it that varies as [tex]\lambda(\theta) = \lambda_{0}sin \theta[/tex]. a.) What is the direction of the electric field at the center of the ring? b.) What is the magnitude of the field at the center of the ring?

The textbook includes a picture of a ring/circle with radiusa, angle [tex]\theta[/tex], and charge distribution [tex]\lambda[/tex]. It's pretty basic and straightforward.

2. Relevant equations

Only one that I can think of:

[tex]E_{z} = \frac{kQz}{(z^{2} + a^{2})^{3/2}}[/tex]

3. The attempt at a solution

I really don't know where to start. I mean I don't have any value for anything (other than if I were to just manipulate my given function and put it in the equation in "Relevant equations"), and z isn't even given in my function. I'm not understanding the picture (sorry I couldn't post the picture on here); it shows basically a circle with its radius forming an angle between the radius and the x axis. I really can't relate that to how this question is worded.

Since I haven't really attempted anything, I'm not looking for someone to do my homework, but rather, for some hints and suggestions.

Thank you all in advance!

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# Homework Help: Determining direction and magnitude of electric field in a ring.

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