A positive charge +q is located on the positive x-axis at +a. Anegative charge -q is located on the negative x-axis at -a . Takeq= 9.60Ã10-19C , and take a= 0.300nm .
(a)
What is the electric field strength at a point p on the positivex-axis which is a distance d from the center of the dipole? Take d=1.80nm.
(b)
Apply the binomial expansion to your symbolic expression from PartA to find an approximate expression for the electric field strengthon the axis of the dipole for a distance which is much much largerthan the distance .
My attempt at solving,
(a) Well I am very confused by this problem so I dont think I amapproaching it right at all but here is what I tried.... E1 is theeffect that -q has on p and is equal to kq/(x+a)^2, E2 is theeffect that +q has on p and is equal to kq/(x-a)^2.... since p isto the right of E1 and E2 I did E1 + E2 = E which is the effectthat the dipole has on point p.... My answer was not right and I amconfused and not sure I am on the right track at all.... Any tipswould be great!
A positive charge +q is located on the positive x-axis at +a. Anegative charge -q is located on the negative x-axis at -a . Takeq= 9.60Ã10-19C , and take a= 0.300nm .
(a)
What is the electric field strength at a point p on the positivex-axis which is a distance d from the center of the dipole? Take d=1.80nm.
(b)
Apply the binomial expansion to your symbolic expression from PartA to find an approximate expression for the electric field strengthon the axis of the dipole for a distance which is much much largerthan the distance .
My attempt at solving,
(a) Well I am very confused by this problem so I dont think I amapproaching it right at all but here is what I tried.... E1 is theeffect that -q has on p and is equal to kq/(x+a)^2, E2 is theeffect that +q has on p and is equal to kq/(x-a)^2.... since p isto the right of E1 and E2 I did E1 + E2 = E which is the effectthat the dipole has on point p.... My answer was not right and I amconfused and not sure I am on the right track at all.... Any tipswould be great!
