Problem 27: A thin plastic ring of radius R = 0.39 m is sprayed with electrically charged paint in a manner that half of the ring has a constant line charge density of +λ and the other half has a constant line charge density of -λ, where λ = 8.9 mC/m.
Part (a) Enter an expression for the magnitude of the electric field at the center of the ring. (Note: E is not zero even though the total charge on the ring is clearly zero.)
Part (b) In what direction is the electric field pointing at the center of the ring?
Part (c) Calculate the magnitude of the electric field at the center of the ring, in newtons per coulomb.