A point charge q_1=−5.8mu C is held stationary at the origin. A second charge q_2=+4.3mu C moves from the point (0.26 m,0,0) to (0.38 m,0,0). Find the workdone by the electric force on q_2. A. −0.272 J B. +0.272 J C. −0.381 J D. +0.381 J

Geobassurseuad5

Geobassurseuad5

Answered question

2023-02-20

A point charge q 1 = − 5.8 μ C is held stationary at the origin. A second charge q 2 = + 4.3 μ C moves from the point (0.26 m,0,0) to (0.38 m,0,0). Find the workdone by the electric force on q 2 .
A. −0.272 J
B. +0.272 J
C. −0.381 J
D. +0.381 J

Answer & Explanation

mandyllau34fy

mandyllau34fy

Beginner2023-02-21Added 5 answers

Given,
q 1 = − 5.8 μ C , q 2 = + 4.3 μ C
r i = 0.26 m , r f = 0.38 m
Workdone by the electrostatic force W = U i − U f
∵ Δ U = q 1 q 2 4 π ε 0 ( 1 r f − 1 r i )
We can write that,
W = q 1 q 2 4 π ε 0 ( 1 r i − 1 r f )
By substituting the received data,
W = ( − 5.8 × 10 − 6 ) ( 4.3 × 10 − 6 ) ( 9 × 109 ) ( 0.38 − 0.26 ) 0.38 × 0.26
⇒ W = − 0.272 J
Therefore, option (a) is the correct answer.

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