Finding the Zero-Field Point Two particles with positive charges q 1 and q 2 are

Question

Finding the Zero-Field Point

Two particles with positive charges q1 and q2 are separated by a distance s.

Part A

Along the line connecting the two charges, at what distance from the charge q1 is the total electric field from the two charges zero?

Express your answer in terms of some or all of the variables s, q1, q2 and k=140. If your answer is difficult to enter, consider simplifying it, as it can be made relatively simple with some work.

Hints

Finding the Zero-Field Point

Two particles with positive charges q1 and q2 are separated by a distance s.

Part A

Along the line connecting the two charges, at what distance from the charge q1 is the total electric field from the two charges zero?

Express your answer in terms of some or all of the variables s, q1, q2 and k=140. If your answer is difficult to enter, consider simplifying it, as it can be made relatively simple with some work.

Hints

Explanation / Answer

auume that zero feild at a point x from the q1 charge

net field zero means both fields has the smae magnitude

E1 = E2

kq1/x^2 = kq2/(s-x)^2

s-x/x = sqrt(q2/q1)

s/x-1 = sqrt(q2/q1)

s/x = 1+sqrt(q2/q1)

x/s = 1/(1+sqrt(q2/q1))

x = s/(1+sqrt(q2/q1))

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