Two point charges `+4muC and +1muC ` are separated by a distance of 2 m in air. Find the point on the line joining the two charges at which the net electric field of the system is zero.

Explanation

Let charges ` q_1 =+4 muC and q_2 =+1muC ` be placed at points.
A and B respectively separated by a distance AB = 2 m.
Let electric field ` oversetto E ` be zero at a point C situated at a distance x from A or a distance (2-x) from B as shown in Thus,
` oversetto (E_A) +oversetto (E_B) =0 or |oversetto (E_A)| =|oversetto (E_B)| `
`rArr " " (1)/(4piin _0) .(q_1)/(x_2)=(1)/(4 pi in _0) .(q_2)/((2-x)^(2)) rArr (x)/((2-x)) =sqrt((q_1)/(q_2)) = sqrt((4muC )/(1 muC)) = 2 `
`rArr " " x= (4)/(3) m `
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