question archive A point charge with charge q1 is held stationary at the origin
A point charge with charge q1 is held stationary at the origin
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A point charge with charge q1 is held stationary at the origin. A second point charge with charge q2 moves from the point (x1 , 0) to the point (x2 , y2 ). Please use k for Coulomb's constant rather than writing it out as (1/4 IIeo) How much work W is done by the electrostatic force on the moving point charge? Express your answer in joules. Use k for Coulomb's constant.
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here form the given problem
the workdone on the charge is equal to change in pootential enegy
u = kq1q2/r
u1=kq1*q2/r1, u2= kq1*q2/r2
u1= kq1*q2/x1, u2 = k q1*q2/sqr((y2-0)^2 +(x2-0)^2)
work done is = u1-u2
W= k*q1*q2(1/x1 - 1/sqr(y2^2 +x2^2)
we know that the force between the point charges is conservative force and the work done by the conservative force can be represented as change in potential energy(negative gradient of p.e).
