Question

If s1 and s2 are two parallel concentric spheres enclosing charges Q and 2Q respectively, what is the ratio of the electric flux through s1 and s2?

Answer 1

Given: s1 and s2 are two parallel concentric spheres enclosing charges Q and 2Q respectively.

To find: the ratio of the electric flux through s1 and s2?

Solution:

• Now the charge on S1 is Q and S2 is 2Q.

• Electric flux passing through inner shell is:

                 ∅1 = Q/∈o

• Electric flux passing through outer shell is:

                 ∅2 = Q + 2Q / ∈o

                 ∅2 = 3Q/∈o

• So the ratio is:

                 ∅1/∅2 = Q/∈o / 3Q/∈o

                 ∅1/∅2 = 1/3

Answer:

         So the ratio of the electric flux through s1 and s2 is 1/3.