Induced voltage (V)=do/dt(varestion of flux to variation of time)=(do/di)(di/dt)=L(di/dt). Or inductance could be minimum where there is high reluctance like vaccume in far space from point of source ……..
First of all, voltage and electric field are not proportional. However, if you have a system that has a specific relationship between its electric field vs. position and its voltage vs position (which is true in all cases), then if you double the electric field everywhere you will double the voltage everywhere as well. Thus, field-lines determine the magnitude, as well as the direction, of the electric field. In particular, the field is strong at points where the field-lines are closely spaced, and weak at points where they are far apart. When the lines are closer to each other, the electric field is the strongest, when the field lines are far apart from each other, the electric field is the weakest and magnitude of an electric field is directly proportional to the density of electric field lines. The electric field is stronger where electric field lines are closer together, and weaker where they are further apart. The negative gradient of the potential in any direction makes up the electric field component in that direction. Voltage is the potential energy per unit charge, while the electric field is the force felt by the unit charge. Given is the relationship between voltage and the electric field: Δ V = - E d. The relationship between V and E for parallel conducting plates is E = V/d. (Note that ΔV = VAB in magnitude. For a charge that is moved from plate A at higher potential to plate B at lower potential, a minus sign needs to be included as follows: –ΔV = VA – VB = VAB. Thus, field-lines determine the magnitude, as well as the direction, of the electric field. In particular, the field is strong at points where the field-lines are closely spaced, and weak at points where they are far apart. If we talk about the magnitude of the electric field, then it will be strongest in the region where they are highly dense. This means that lines are closer to each other but do not cut each other or overlap each other, and when they are far apart, they are weaker in strength.