Imagine moving the hollow sphere of radius \(R\) of Checkpoint \(24.3 a\) sideways so that the charged object is no longer at the center of the sphere (but still within it).

(a) How does the number of field line crossings through the surface of the sphere change as it is moved? 

(b) How does the average number of field line crossings per unit surface area of the sphere change?

(c) Does the electric field strength at a fixed position on the surface of the sphere change or remain the same as the sphere is moved?

(d) Are your answers to parts \(b\) and \(c\) in contradiction, given the relationship between the electric field magnitude and field line crossings per unit area?

Data from Check point 24.3(a)

Imagine a hollow sphere enclosing the charged object in Figure 24.5, centered on the object.

(a) Given that 26 field lines emanate from the charged object, how many field lines cross the surface of the hollow sphere? 

Transcribed Image Text:

Figure 24.5 Although we generally use two-dimensional representa tions of field line diagrams, field lines emanate in three dimensions. E