Three point charges are arranged on a line. Charge q3 = +5.00 nC and is at the origin. Charge q2 = -2.00 nC and is at x = 3.50 cm. Charge q1 is at x = 1.00 cm. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Vector addition of electric forces on a line. Part A What is q1 (magnitude and sign) if the net force on q3 is zero? Express your answer in nanocoulombs. Q1 = nC

Three point charges are arranged on a line. Charge q3 = +5.00 nC and is at the origin. Charge q2 = -2.00 nC and is at x = 3.50 cm. Charge q1 is at x = 1.00 cm. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Vector addition of electric forces on a line. Part A What is q1 (magnitude and sign) if the net force on q3 is zero? Express your answer in nanocoulombs. Q1 = nC

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Three point charges are arranged on a line. Charge q3 = +5.00 nC and is at the origin. Charge q2 = -2.00 nC and is at x = 3.50 cm. Charge q1 is at x = 1.00 cm. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Vector addition of electric forces on a line. Part A What is q1 (magnitude and sign) if the net force on q3 is zero? Express your answer in nanocoulombs. Q1 = nC

Explanation & Steps

Force between two charges can be determined F = kQ1Q2/r^2. The force on Q2 due to Q1 will be towards Q1 if both are opposite charges and will be away of Q1 if both are same charge.

For the given question, the force on q3 due to q1 and q2 can be calculated. The direction of force between q1 and q3 must be opposite to the force direction between q1 and q3. Both forces can be used to determine exact location of the charge q1 on the x-axis.  

Detailed Answer

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