Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

F) Thefig. shows a series of equipotential curves. (a) The electric field streng

ID: 1676810 • Letter: F

Question

F) Thefig. shows a series of equipotential curves.

(a)    The electric field strength at point A issmaller than the field strength of point B? Explain why.

(b)   The electric field strength at point C is smallerthan the field strength at point D? Explain why.

(c)Determine the electric field E at point D. Express your answer as amagnitude and a direction.

ANSWER GIVEN (C): 5.5 V/cm, in +xdirection

Hi can someone briefly explain theanswers for part a and b and show the work on how to get the answergiven for c please? Thanks a bunch. Will rate lifesaver out ofrespect!! =]

Explanation / Answer

E = -V / x a) The electric field strength is smaller at A than at Bbecause the equipotential lines are farther apart at       A than they are at B - theabove formula shows the relationship       This is similair to isobars ona weather map, the closer the isobars the greater the rate ofpressure change        between equally spacedregions and the greater wind wind speed in closely spaced isobarssince the         pressure ischanging (with respect to distance)more rapidly in thoseregions b) the same reasoning applies to points C & D c) at point D the distance between the -1V and +1V is about1/2 cm or .005 m      using our formula above and going inthe direction from +1 V to -1 V  we get x = .005m E = - V / x = - (- 2 / .005) = 400 V / m       So E is directed in the + Xdirection (it takes work to move a positive charge in the - Xdirection)