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A 3.4 C charge is placed at the origin of coordinates, and a -2.6 C charge is pl

ID: 1881910 • Letter: A

Question

A 3.4 C charge is placed at the origin of coordinates, and a -2.6 C charge is placed to the x axis at 4.0 cm .

A) Find the location of the place(s) along the x axis where the electric field due to these two charges is zero.

Express your answer(s) using two significant figures. If there is more than one answer, enter each answer separated by a comma.

B) Find the location of the place(s) along the x axis where the electric potential due to these two charges is zero.

Express your answer(s) using two significant figures. If there is more than one answer, enter each answer separated by a comma.

Explanation / Answer

a] The location has to be on the side of smaller magnitude charge. Let it be x. Fields due to each charge should cancel each other.

kq1/x^2 - kq2/[x-4]^2 =0

3.4/x^2 = 2.6/[x-4]^2

x = 31.9 cm answer

b] There will be two such points, one will be between the charges, another right of smaller charge.

kq1/x = - kq2/[x -4]

3.4/x = 2.6/[x-4]

x = 17 cm

3.4/x = 2.6/[4-x]

x = 2.67 cm

answers :  2.67 cm , 17 cm

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