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? 

(b) If the radius of the hollow sphere is \(R\), what is the number of field line crossings per unit surface area?

(c) Now consider a second sphere with radius \(2 R\), also centered on the charged object. How many field lines cross the surface of this second sphere? 

(d) How does the number of field line crossings per unit area on the second sphere compare with that on the first sphere?

(e) How does the electric field at a location on the second sphere compare with the field at a location on the first 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