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A charge of 2mC is placed at the origin. A second charge of 7mC is placed...

A charge of 2mC is placed at the origin. A second charge of 7mC is placed along the x-axis at x=4cm. Where along the x-axis, other than infinitely far away, is the net electric field due to the two charges equal to zero? Show your setup to solve the problem clearly. You may use a graphing calculator or online utility to compute the numerical answer.

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Answer #1

Refering the diagram :

q1 = 2 mC

q2 = 7 mC

x = 4 cm

The point other than infinity where net electric field is zero will be somewhere between them along line joining the charges, since the charges are like.

Let P be that point where net electric field is zero.

Let the distance P from origin is r.

r = distance of P from q1

x-r = distance of P from q2

The direction of Electric field at this point P is opposite and magnitude has to be equal so that they cancels each other.

Therefore,

magnitude of electric field due to q1 = magnitude of electric field due to q2

= 0.014 m

= 1.4cm.

Therefore, at x = 1.4 cm, the net electric field due to the charges is zero. [answer]

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