Question

Consider a point charge +q. A) Sketch the electric field lines and equipotetial lines near the charge. B) Explain how to interpret these equipotential lines. In other words, what does electric potential mean in terms of work? C) Indicate the direction of increasing potential in your sketch. D) Consider one potential line in your sketch. How much work is required to move a charge anywhere along that line.

Answer 1

Blue => electric field lines

Red => equipotetial lines ( circle and perpendiculer to electric field )  

Explain how to interpret these equipotential lines. In other words, what does electric potential mean in terms of work?

equipotential lines always are perpendicular to the electric field and potential on an equipotential line will be constant so if you move on an equipotential line their will, be no change in potential so work done will be zero

C) Indicate the direction of increasing potential in your sketch.

a closer equipotential   line to the charge will have a large potential as you move away from charge the potential will decrease on an equipotential line

so in diagram inner circle will have more potential

D) Consider one potential line in your sketch. How much work is required to move a charge anywhere along that line.

Zero I already mentioned that equipotential   line have same potential so

work done W= q* ΔV = 0 because   Δ Δ = 0