1. The problem statement, all variables and given/known data A quarter circle segment has a uniform linear charge density of λ. Starting with the E-field due to point charges, show that the magnitude of the E-field at the center of curvature(which is distance R away from all points on the quarter circle) is E= (kλ√(2))/R 2. Relevant equations E= k∫dq/R^2 * r^ r^ is r hat q=Rλ k=9x10^9 or in this case just a constant 3. The attempt at a solution I first approached this as a semi-circle and was going to divide by 2 at the end. With a semi-circle the x unit vectors I can replace r^ with y^*sinθ (didn't get the right answer so this approach is probably wrong). E= k/R^2∫dq*r^ =((kλ)/R)*y^∫sinθ dθ =((kλ)/R)*y^[-cos(pi)+cos(0)] =((2kλ)/R)*y^ =((kλ)/R)*y^ I'm missing a √(2) somehow and I don't know how to get rid of the y hat.