Activity Goals By the end of this activity, you should be able to l. Calculate t

Question

Activity Goals By the end of this activity, you should be able to l. Calculate the electric potential of an electrie dipole 2. Approximate algebraic expressions given limiting conditions 3 Interpret algebraic expressions of the electric potential. 4. Break a vector deown into components The dipole electric potential An electric dipole An electric dipole is the separation of positive and negative charges. The simplest example is two point charges of opposite sign set at some distanoe apart Dipole electric potential on the y-axis In the figure to the right we have two point charges, +g and -q separated a distance d. We want to analyze the electric potential at point P a distance y above the center of the two point charges 1. Write an algebraic equation for the electric potential at a point Q assuming y 3. Using the ideas of approximation we lave been discussing in class and on the screen cast, write an expression for when y d. Approximation hint(just in case your answer is boring') 4. Now write an expression for when yd. Does it behave like a point charge? If Y not how does your result depend on y? The above approximation hint may be helpful here as well.

Explanation / Answer

1)

(d/2) - y= distance of charge "q" from "Q"

(d/2) + y= distance of charge "- q" from "Q"

net electric potential at "Q" is given as

V = k q/((d/2) - y) + k (-q)/((d/2) + y)

V = kq(d/(d/2)2 - y2))

b)

y - (d/2)= distance of charge "q" from "Q"

(d/2) + y= distance of charge "- q" from "Q"

net electric potential at "Q" is given as

V = k q/(y - (d/2)) + k (-q)/((d/2) + y)

V = kq(2y/(y2 - (d/2)2))

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