Question

Two positively charged particles q1 and q2 = 3q1 are 10.0 cm apart. Where (other than at infinity) could a third charge q3 be placed so as to experience no net electric interaction?

Answer 1

The force at a distance of 3.66 cm from
`q_1` will be zero

Step-by-step explanation:

Electric force experienced will be zero where electric field will be zero .

We have given charges
`q_1\ and\ q_2=3q_1`

Distance between the charges = 10 cm

Let at d distance from q_1 electric field will be zero , so distance from q_2 =10-d

According to coulombs law electric field is given by

`E=(KQ)/(R^2)`

`(Kq_1)/(d^2)=(K3q_1)/((10-d)^2)`

`((10-d))/(d)=\sqrt{(3q_1)/(q_1)}`

`10-d=1.732d`

d = 3.66 cm

So the force at a distance of 3.66 cm from
`q_1` will be zero