Coulomb's Law (Electric Force) Video Lessons

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Problem: The net force on the 1.0 nC in the figure charge is zero.  What is q?

FREE Expert Solution

Coulomb's force,

F=kq1q2r2

Vector magnitude,

|r|=rx2+ry2

Components of  a vector,

Fx=|F| cos θFy=|F| sin θ

Direction (measured from x-axis),

tan θ=ryrx

q should repel the 1.0 nC charge. Force F12 is along the y-axis in the negative direction. 

The sum of the y-components of the force due to the two 2.0 nC charges should have the same magnitude as the force due to q.

The magnitude of r is the same for the two 2.0 nC charges,

r = 3.0 cm i + 2.0 cm j = 0.03 m i + 0.02 m j

r=0.032+0.022

r = 0.0361 m

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Problem Details

The net force on the 1.0 nC in the figure charge is zero.  What is q?

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