A charge q₁ = 1.0 $\mu$C is placed at the origin of an x-axis and another charge q₂ = 2.0 $\mu$C is placed at position x = 10 cm.Find a point on the axis where the electric field due to these two charges is zero.

Question

Quizplus · Accepted Answer

To find the point where the electric field is zero, we need to solve the equation:
k*q1/(x^2) = k*q2/((10-x)^2) where k is Coulomb's constant = 1/4πε0.

Rearranging and solving for x, we get:
x = d*q2^(1/2)/(q1^(1/2)+q2^(1/2))
where d is the distance between the charges on the x-axis.

Plugging in the values, we get:
x = 10*(2^(1/2))/(1+2^(1/2)) = 4.2 cm

Therefore, the answer is C.

A Charge Q1 = 1 μ\muμ C Is Placed at the Origin of an X-Axis and the Origin

A Charge Q₁ = 1 $\mu$ C Is Placed at the Origin of an X-Axis and the Origin