1. The electric potential due to a point charge is given by V = Kq r where q is

Question

1. The electric potential due to a point charge is given by V = Kq r where q is the charge, r is the distance from q, and K = 9 × 109 Nm2/C2 . Show that the SI unit of electric potential is a volt.

2. What are equipotential lines? How are equipotential lines used to obtain the electric field lines?

3. If the electric potential is different from zero in some region of space, can the electric field be zero in that same region? Explain your answer thoroughly.

4. If the electric potential is zero in some region of space, can the electric field be different from zero in that region? Explain your answer thoroughly.

Thank you for your response

Explanation / Answer

1)
V = K*Q/r
= (Nm^2/C^2 ) *C/m
= N*m/C

but Nm is jould

V= J/C
J/C is volt

2)
Equipotential lines are line obtained by joining all the points where potential is equal.

Electric field is always perpendicular to equipotential line

3)
E = -dV /dx
So in the area of constant V, electric forld will be 0 since d/dx of constant is 0

4)
Yes.
E = -dV /dx
So V can be 0 but change in V might not be 0 and hence E can be non 0.

Potential is dependent on the reference frame you choose. So at any point you only talk about difference from another reference. Electric field is releted to how much the potantial changes in a small difference

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