2) field in x direction will be 20v/cm but there may be components of electric field in other directions the info about which we have not been given, So it can be more/less than 20v/cm
1)It is said that separation between the two charges forming the dipole should be small, but small compared to what?
2)The electric potential decreases uniformly from 120 V to 80V as one moves on the X axis from -1 cm to +1cm. Why can the field at the origin be less than 20V/cm ?
3)Potential at a point should depend or not on the choice of zero potential or zero potential energy? If yes they why and if no then also why?
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4 Answers
1) small compared to the system in which these two charges appear....
2) Field will be 20v/cm. (I dont know why this should happen!)
3) Potential at a point should depend on the choice of zero potential. Potential is the work done in moving a unit charge from one point to other..
It has nothing to do with potential energy. (Energy is the work done and will depend on electric field..)
I am posting the full question (2nd one ) as it is given in HCV
2) The electric potential decreases uniformly from 120 V to 80V as one moves the X axis frm
x = -1cm to x = +1 cm. The electric field at the origin
a)must be equal to 20V/cm
b)may be equal to 20V/cm
c)may be grater than 20V/cm
d)may be less than 20V/cm
In book only option (b) and (c) are given as correct, but I think even option (d) should also be right.