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A charge q1 = +2.42 microC is at a distance d = 1.03 m from a second charge q2 =

ID: 1284454 • Letter: A

Question

A charge q1 = +2.42 microC is at a distance d = 1.03 m from a second charge q2 = -6.17microC

(a) Find the electric potential at a point A between the two charges that is d/2 from q1. Note that the location A in the diagram above is not to scale.

__________ V

(b) Find a point between the two charges on the horizontal line where the electric potential is zero. (Enter your answer as measured from q1.)

__________ m

A charge q1 = +2.42 microC is at a distance d = 1.03 m from a second charge q2 = -6.17microC (a) Find the electric potential at a point A between the two charges that is d/2 from q1. Note that the location A in the diagram above is not to scale. __________ V (b) Find a point between the two charges on the horizontal line where the electric potential is zero. (Enter your answer as measured from q1.) __________ m

Explanation / Answer

(a) V = [K q1 / (d/2)] +   [K q2 / (d/2)]

= K (q1 + q2) / (d/2)

= 9x10^9 (2.42 - 6.17) x10^-6 / 0.515

= - 6.55 x 10^4 V

_______________________________________

b) => (Kq1 / x) + Kq2 / (1.03 - x) = 0

so (2.42 /x) - 6.17 /(1.03-x) = 0

=> 2.42 /x = 6.17 /(1.03-x)

=> 6.17x = 2.5 - 2.42x

so x = 0.29 m from q1

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