# There are two charges q1 = 10 μC and q2 = 70 μC placed 0.5 m apart and fixed in place. q1 is on the left and q2 is on the right. How far from q2 should q3 be placed so that it experiences no force? q3 is positive. Hint: q3 will be between q1 and q2.

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There are two charges q1 = 10 μC and q2 = 70 μC placed 0.5 m apart and fixed in place. q1 is on the left and q2 is on the right. How far from q2 should q3 be placed so that it experiences no force? q3 is positive. Hint: q3 will be between q1 and q2.

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Step 1

Draw the following diagram representing the system of charges.

Step 2

Let F31 be the force on charge q3 due to q1, and F32 be the force on charge q3 due to q2, r31 be the distance of charge q3 from q1, and , r32 be the distance of charge q3 from q2.

Write the expression for the force experienced by the charge q3 due to q1.

Step 3

Write the expression for the force experienced by the charge ...

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### Electric Charges and Fields 