Electric field:

$\overline{){\mathbf{E}}{\mathbf{=}}\frac{\mathbf{k}\mathbf{q}}{{\mathbf{r}}^{\mathbf{2}}}}$

cos θ = z/sqrt(z^{2}+a^{2})

dE(z) = dE cos θ

From the boxed equation:

E = kq/[sqrt(z^{2} + a^{2})]^{2} = kq/sqrt(z^{2} + a^{2})

Consider a uniformly charged ring in the *xy* plane, centered at the origin. The ring has radius α and positive charge q distributed evenly along its circumference.

1. What is the magnitude of the electric field along the positive *z* axis?

Use k in your answer, where . ( E(z)=? )

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Coulomb's Law (Electric Force) concept. You can view video lessons to learn Coulomb's Law (Electric Force). Or if you need more Coulomb's Law (Electric Force) practice, you can also practice Coulomb's Law (Electric Force) practice problems.

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Based on our data, we think this problem is relevant for Professor Herrera-Siklody's class at ISU.