A charge q1 is inside a spherical surface (although not necessarily at the exact center of the sphere). A second charge q2 sits just outside the surface. Choose whether the following statements are true or false.

T/F The total electric flux through the spherical surface depends on q2.
T/F The total electric flux through the spherical surface depends on q1.
T/F The electric field on the spherical surface depends on q1.
T/F Gauss's Law could be used to determine the location of q1 inside the sphere.
T/F The electric field on the spherical surface depends on q2.

T/F The total electric flux through the spherical surface depends on q2.

False.
The electric flux through a closed surface is only dependent on the charge enclosed by the surface. In this case, the charge enclosed by the surface is q1, not q2. So, the total electric flux through the spherical surface does not depend on q2.

T/F The total electric flux through the spherical surface depends on q1.

True.
The total electric flux through the spherical surface will depend on the charge q1. The electric flux passing through a closed surface is directly proportional to the charge enclosed by that surface. Therefore, the electric flux through the spherical surface will depend on the value of q1.

T/F The electric field on the spherical surface depends on q1.

True.
The electric field at any point on the surface of a conductor is always perpendicular to the surface at that point. Since the spherical surface encloses the charge q1, the electric field on the surface will depend on the charge q1.

T/F Gauss's Law could be used to determine the location of q1 inside the sphere.

False.
Gauss's Law can be used to determine the electric field either inside or outside a closed surface by integrating over the entire surface. However, it cannot be used to determine the exact location of a charge within the enclosed surface. Gauss's Law provides information about the net electric field, but not the specific position or distribution of charges.

T/F The electric field on the spherical surface depends on q2.

False.
The electric field on the spherical surface is not dependent on the charge q2. The electric field at any point on the surface of a conductor is only determined by the charge enclosed by the surface, which in this case is q1. So, the electric field on the spherical surface depends only on q1, not q2.