How much work W is done by the electrostatic force on the moving point charge? E

Question

How much work W is done by the electrostatic force on the moving point charge?

Express your answer in joules. Use k = 8.99?109Nm2/C2 for Coulomb's constant.

W = _______ J

A point charge with charge q1 = 4.00muC is held stationary at the origin. A second point charge with charge q2 = -4.40muC moves from the point(0.170m , 0) to the point (0.285m , 0.285m ). (Please use 8.99109Nm2/C2 for Coulomb's constant rather than writing it out as (1/4piepsilon not).) How much work W is done by the electrostatic force on the moving point charge? Express your answer in joules. Use k = 8.99109Nm2/C2 for Coulomb's constant. W = _______ J

Explanation / Answer

here potential energy stored when the q2 is U1 at (0.17,0)

U1 = - k*q1*q2/r....

U1 = -(8.99*10^9*4*4.4*10^-12)/0.17 = -0.9307 J

when q2 is at (0.285,0.285),the potential energy is U2 = -k*q1*q2/r2...

r2 = sqrt(0.285^2+0.285^2) = 0.403 m

U2 = (-8.99*10^9*4*4.4*10^-12)/0.403

U2 = -0.3926 J

required work done is W = U1-U2 = -0.9307+0.3926=-0.5381 J

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