A point charge q 1 = &#x2212; 5.8 &#x3BC; C is held stationary at the origin. A second charge q 2 = + 4.3 &#x3BC; 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

Question

A point charge         q     1      =   &amp;#x2212;   5.8        &amp;#x3BC;      C  is held stationary at the origin. A second charge    q   2   =   +   4.3        &amp;#x3BC;      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

mandyllau34fy · Accepted Answer

Given,        q     1      =   &amp;#x2212;   5.8        &amp;#x3BC;      C   ,        q     2      =   +   4.3        &amp;#x3BC;      C         r     i      =   0.26   m   ,        r     f      =   0.38   m  Workdone by the electrostatic force    W   =        U     i      &amp;#x2212;        U     f       &amp;#x2235;        &amp;#x394;      U   =                        q         1                       q         2                        4       &amp;#x03C0;                           &amp;#x3B5;                  0                  (        1            r       f           &amp;#x2212;        1            r       i           )  We can write that,   W   =                        q         1                       q         2                        4       &amp;#x03C0;                           &amp;#x3B5;                  0                  (        1            r       i           &amp;#x2212;        1            r       f           )  By substituting the received data,   W   =               (       &amp;#x2212;       5.8       &amp;#xD7;       10       &amp;#x2212;       6       )       (       4.3       &amp;#xD7;       10       &amp;#x2212;       6       )       (       9       &amp;#xD7;       109       )       (       0.38       &amp;#x2212;       0.26       )                 0.38       &amp;#xD7;       0.26            &amp;#x21D2;   W   =   &amp;#x2212;   0.272   J  Therefore, option (a) is the correct answer.

A point charge q 1 = − 5.8 μ C is held stationary at the...

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