True or false conceptual physics 2 questions from chapter 25.

1. [ ] the electrostatic potential difference between point a and b, ∆v_ab, can be calculated using a path integral, and ∆v_ab does not depend on the integral path used.

2.[ ] a common reference point for electrostatic potential is v = 0 at [infinity].

3. [ ] the magnitude of work required to bring a charge q from point a to point b is |qv_ba|.

4. [ ] ev is a unit for potential.

5. [ ] when a charged particle is accelerated from rest in an electric field, the amount of kinetic energy increased equals the amount of potential energy decreased, i. e., |1/2 mv^2| = |qδv|

6. [ ] an electric field line points to the direction of higher electric potential.

7. [ ] an equipotential surface is always parallel to electric field lines.

8. [ ] the electrostatic potential generated by multiple charges, is the vector addition of the potentials generated by individual charges.

9. [ ] inside a conductor, the electric field and potential are both zero.

10. [ ] the electric fields created by a point charge, a conducting sphere, and an insulator sphere are identical, if they all have the same amount of charge and the field is measured outside the spheres.

Explanation:

1) TRUE; potential difference can be calculated using path integral. Since the electric field is a conservative, the potential difference can be calculated using any path.

2) TRUE; since potential due to a charge is inversely dependent on distance, at infinity the potential will be almost zero.

3) TRUE, W = q.VBA.

4) FALSE; eV is a unit for work (or) energy.

5) TRUE; since the electric force is conservative force. There will be no loss in energy, the decreased potential energy will be coverted to kinetic energy.

6) FALSE; in the direction of electric field the potential decreases.

7) FALSE; equipotential surface is perpendicular to the electric field lines.

8) FALSE; electrostatic potential is scalar quantity. It depends only on the charge and distance from it.

9) FALSE; Inside a conductor the electric field is zero but the electric potential is constant at the value that is at the surface of the conductor.

10) TRUE; as long as the field is being measured outiside the body the bodies act as point charges. So electric fields due to all types of bodies charged identically will be equal.

step-by-step explanation:

we are given

we have to simplify it

firstly, we will factor it

now, we can cancel like terms

now, we can combine it

so, we get