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Three objects are located along the x-axis. Object A with a charge of +5.6 mu C

ID: 1436665 • Letter: T

Question

Three objects are located along the x-axis. Object A with a charge of +5.6 mu C is located at the origin. Object B has a charge of -4.2 mu C and is located at the -1.2 m location. Object C has a charge of +7.7 mu C and is located at the +2.4 m location. determine the magnitude and direction of the net electric force acting upon object A. Object A has a x-y coordinate position of (+5.0, 0.0). Object B has a x-y coordinate location of (0.0, +4.0). If object A has a charge of -5.8 mu C and object B has a charge of +8.9 mu C, then what is the resultant electric field strength at the origin.

Explanation / Answer

12)   Net Electric force = - 8.98 * 109 * 5.6 * 4.2* 10-12 /1.22 - 8.98 * 109 * 5.6 * 7.7* 10-12 /2.42

                                              = - 0.1467 - 0.0672

                                       = - 0.2139 N

      Direction is towards - ve X axis.

13)   X component of field = 8.98 * 109 * 5.8 * 10-6 /52

                                                   = 2.083 * 103 N/C

     Y component of field = - 8.98 * 109 * 8.9 * 10-6 /42

                                                   = - 5 * 103 N/C

=> resultant electric field = 5.416 * 103 N/C

=> Direction =   - tan-1( 5/2.083)

                        =   - 67.38 degree    ( below + ve X axis )

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