Question

A rod of length 10 meters and charge .6 μC lies along the x-axis from (-5,...

A rod of length 10 meters and charge .6 μC lies along the x-axis from (-5, 0) to (5, 0) meters. A charge of .4 μC is placed at (0, 3) meters.

a) Find the electric potential energy of the system if the rod has a uniform charge density.

b) Find the energy if the rod has a linear charge density given by λ = kx2.

c) Find the answer to (a) and (b) if the .4 μC charge was placed at (8, 0) meters.

Answers should be:

a) +.55 mJoules

b) +.46 mJoules

c) +.32 mJoules for uniform rod, +.36 mJoules for non-uniform rod

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