Two charges, -34µC and +5µC, are fixed in place and separated by 3.7 m. (a) At w

Question

Two charges, -34µC and +5µC, are fixed in place and separated by 3.7 m. (a) At what spot along a line through thecharges is the net electric field zero? Locate this spot relativeto the positive charge. (Hint: The spot does not necessarily liebetween the two charges.)
1 m from the positivecharge, 2---Select---betweennot between the two charges.

(b) What would be the force on a charge of +16 µC placed at thisspot?
3 N (a) At what spot along a line through thecharges is the net electric field zero? Locate this spot relativeto the positive charge. (Hint: The spot does not necessarily liebetween the two charges.)
1 m from the positivecharge, 2---Select---betweennot between the two charges.

(b) What would be the force on a charge of +16 µC placed at thisspot?
3 N

Explanation / Answer

Given d = 3.7m           q1 =-34C           q2 =5C      setting the magnitude of individualfields equal and solving for x            x is the spot where the electric field is zero               E1 =E2              kq1/x2 = kq2/(d+x)2                          q2/q1 =0.1470              1/x = 0.3834/ (d+x)                 d+x =0.3834x                  d =0.6166 x                    x = 3.7/0.6166                      = 6m 6m from the positive charge          F =kq2q3/x2            = 9*109N . m2/C2 *5*10-6*16*10-6/(6m)2            = 20mN                           

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