Question

the relation (∆v/∆r=v/d)represents​

Answer 1

Answer:

the relation (∆v/∆r=v/d)represents potential difference

Answer 2

Answer:

∆v/∆r=v/d represents Electric field

Explanation:

Electric potential:

• Electric Potential of a point is defined as "work done by an external force in bringing a unit positive charge from infinity to that point."
• The potential difference between two points A and B id given by,

                                    $V_{A}-V_{B}=\frac{U_{A-}{U_{B} } }{q}$

        where 'U' represents the Potential Energy

Relation between Electric Potential and Electric Field:

• Consider a conductor in which there's a constant electric field E and 2 points in the conductor A and B and let the distance between these two points be $\Delta{l}$.
• The work done in moving a positive unit charge from A to B from the above definition is given by  

                                    $V_{A}-V_{B} = \Delta{V}$

• In terms of Electric field this work is given by

                                    $E\Delta{l}$   hence

                                    $E\Delta{l}=V_{A} - V_{B}$

                                    $E\Delta{l}=\Delta{V}$

• Therefore we get,

                                    $E= \frac{\Delta{V}}{\Delta{l}}$

• If the distance is given by 'd' and the potential difference is a constant denoted by V then,

                                  $E=V/d$

Therefore the given relation represents the Electric field between two points where the potential difference between the points is V and the distance between them is d.