lectric Field: Two point chargesSpC and-8 ?C are 1.2 m apart, where 1) Coulomb\'

Question

lectric Field: Two point chargesSpC and-8 ?C are 1.2 m apart, where 1) Coulomb's Law and e should two charges equal to zero? a third charge, equal to 5 uC, be placed to make the electric field at the mid-point between the first om 0.6m a) What is the electric field at x-0.6m due to point charge 17 b) What is the electric field at x-0.6m due to point charge 2? c) What is the electric field at x- 0.6m due to the point charge 3? d) Where should a third charge be placed to make the electric field at the mid-point between the first two charges equal to zero?

Explanation / Answer

a)
Electric field due to charge 1,
E1 = kq1/r2
= [(9 x 109) x (5 x 10-6)] / (0.6)2
= 1.25 x 105 N/C

b)
Electric field due to charge 2,
E2 = kq2/r2
= [(9 x 109) x (- 8 x 10-6)] / (0.6)2
= - 2 x 105 N/C

c)
Electric field due to charge 3,
E3 = kq3/(d - r)2
= [(9 x 109) x (5 x 10-6)] / (d - 0.6)2
= 4.5 x 104 / (d - 0.6)2 N/C

d)
E1 + E2 + E3 = 0
1.25 x 105 + (- 2 x 105) + 4.5 x 104 / (d - 0.6)2 = 0
7.5 x 104 = 4.5 x 104 / (d - 0.6)2
(d - 0.6)2 = 4.5/7.5 = 0.6
Taking square root on both the sides,
d - 0.6 = 0.775
d = 0.775 + 0.6
= 1.375 m

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