Charged Ring 9 of 12 What is the direction of the electic field at any point on
ID: 1574461 • Letter: C
Question
Charged Ring 9 of 12 What is the direction of the electic field at any point on the z axis? View Available Hint(s) Constants Consider a uniformly charged ring in the xy plane, centered at the origin. The ring has radius a and posltve charge distributed evenly along its circumference. (Figure 1) parallel to the x axis parallel to the y axis parallel to the z axis in a circe parallel to the xy plane Submit Part B What is the magnitude of the electric field along the positve z axis? Use k in your answer, where k View Available Hint(s) Submit Figure 1 of 1 Part C Imagine a small metal ball of mass and negative charge-20 The ball is released from rest at the point (o,0, djand constrained to move along the z axis, wlth no damping. iro d 4: what will be the ball's subsequent trajectory? repelled from the origin attracted toward the origin and coming to rest oscillating along the z axis between = dand =-d circling around the z axis atdExplanation / Answer
A)The direction of the electric field will be:
Parallel to z axis
B)E = kq/r^2
dE = k/(z^2 + a^2) dq
along z,
Ez = dEz/sqrt (z^2 + a^2)
E = int dEz
dq = q/2pi d(theta)
Ez = k z q/(z^2 + a^2)^3/2
C)The correct Ans is:
oscillting along the z axis between z = d and z = -d.