Question

What is the net force exerted by these two charges on a third charge q3 = 45.5 nC placed between q1 and q2 at x3 = -1.150 m ? Your answer may be positive or negative, depending on the direction of the force. Express your answer numerically in newtons to three significant figures.

Coulomb's law for the magnitude of the force F between two particles with charges Q and Q′ separated by a distance d is

|F|=K|QQ′|d2,

where K=14πϵ0, and ϵ0=8.854×10−12C2/(N⋅m2) is the permittivity of free space.

Consider two point charges located on the x axis: one charge, q1 = -10.5 nC , is located at x1 = -1.675 m ; the second charge, q2 = 36.0 nC , is at the origin (x=0.0000).

Answer 1

Approach used:- we use the Coulomb's law of force between charges to find the force on q₃ due to other two charges individually and then add them to get the resultant force as shown below,

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