This next diagram shows an electric field Were not going to

This next diagram shows an electric field. We\'re not going to tell you anything about the charges that produce this field. So, you\'ll need to reason entirely from the field. Which point, J or K, has a higher electric potential? Explain. At which point, J or K, is the electric field stronger? Explain. Here\'s another electric field. At which of the three labeled points is the electric potential highest? Second highest? Lowest? Be sure to indicate any ties, and explain your reasoning. At which of the three labeled points is the electric field strongest? Second strongest? Weakest? Be sure to indicate any ties, and explain your reasoning. Now for the punch line, Is there a fixed relation between the field strength and the electric potential? In other words, is there a general rule such as \"the field is stronger where the potential is higher,\" or \"the field is stronger where the potential is lower,\" that holds in all situations? If so, what\'s the rule? Explain.

Solution

B-1) The given field lines are drawn for a positive charge as they point outwards from the charge.

Point J has higher electric potential than point K. Because the potential at a point decreases with the increase in distance from the point charge (V = k Q / r ). We see from the figure that the distance of J is lesser than K from the charge and hence K has higher potential.

B-2)The electric field will be stronger at J only beacuse again the distance of point J from the charge than point K is lesser and we know that electric field at any point is inversely proportional to the square of distance from the point charge (E = k Q/r² ).

Hence, the field is stronger at J than K.

C-1) the given field lines seems to be that of line charge.

the electric potential at D and E will be equal and lesser at F. Because the distance of D and E is same from the line of charge where as F is larger than that of D and E.

2)the electric field will be the same way, equal at D and E and lesser at F.Because the distance of D and E is same from the line of charge where as F is larger than that of D and E.

D)