A rod of length 12 meters and charge .6 mC lies along the x-axis from (-6, 0)...

A rod of length 12 meters and charge .6 mC lies along the x-axis from (-6, 0) to (6, 0) meters. A charge of .9 mC is placed at (10, 0) meters. Find the electric force on the .9 mC charge if the rod has a linear charge density given by λ = κx⁴

Group of answer choices

a) 104.66 N

b) 88.46 N

c) 97.33 N

d) 124.73 N

e) 115.35 N

Solutions

Expert Solution

consider a small elemental charge dq which is at a distance x from origin. Let the length of elemental charge is dx. Then dq = dx, where . A point charge 0.9 mC is at 10 m from origin. Then the point charge is at a separtion of (10 - x) from elemental charge dq. The force between the point charge and elemental charge is given by . Then . =>

and

=> =>

Then

=> =>

Option e is correct.

genius_generous answered 1 year ago

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