In: Physics
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
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.