9. Now to find the total electric field for a point along the z-axis we simply integrate around the ring making 10. Suppose that z was really really large (much larger than R). What would you expect the electric field to behave as? 1 1. Suppose that z was zero. What do you expect the electric field to be? 12. Does your solution match these limiting situations? Explain.Consider a ring of charge with total charge Q and with a radius of R, centered at the origin in the x-y plane. Determine the electric eld at any location along the z-axis. G) 1. Because of symmetry, the electric eld at any point on the z-axis will always be in the 2. Therefore, we only need to consider the of any contribution to the electric eld from a single element of charge on the ring. 3. To calculate the electric eld at a point on the z-axis, we are going to integrate around the ring of charge. The radius of the ring is constant and therefore it makes sense for the variable of integration to be 4. The zcomponent of the electric eld from a single element of charge (dQ) is (write in terms of dQ, z and r-the distance from the element of charge to the point p). 5. To calculate the charge on dQ we need to know the charge per unit length which is given by 6. An element of charge, dQ, has a length of (answer in terms of R and 6)) and a charge of 7. The distance from this element to the point p is given by: 8. Rewriting # 4 in terms of #6 and #7 we get that