Chapter 4: Q21-91P (page 719)
A thin disk with a circular hole at its centre, called an annulus, has inner radius R1 and outer radius R2 (Fig. P21.91). The disk has a uniform positive surface charge density σ on its surface. (a) Determine the total electric charge on the annulus. (b) The annulus lies in the yz-plane, with its canter at the origin. For an arbitrary point on the x-axis (the axis of the annulus), find the magnitude and direction of the electric field
Short Answer
- The total electric charge on the annulus of inner radius
and outer radius is - For an arbitrary point on the x-axis of the annulus the magnitude and the direction of the electric field
is - The magnitude of the electric field is approximately proportional to the distance between the canter of the annulus and the point, The distance is:
- The frequency of the oscillation of the particle is: