One particle, of charge q1, is held at rest at the origin. Another particle, of charge q...

One particle, of charge q₁, is held at rest at the origin. Another particle, of charge q₂, approaches along the x axis, in hyperbolic motion:

it reaches the closest point, b, at time t = 0, and then returns out to infinity.

(a) What is the force F₂ on q₂ (due to q1) at time t?

(b) What total impulse is delivered to q₂ by q₁?

(c) What is the force F₁ on q₁ (due to q2) at time t?

(d) What total impulse is delivered to q₁ by q₂? [Hint: It might help to review Prob. 10.17 before doing this integral. Answer: I₂ = −I₁ = q₁q₂/4 ϵ₀bc]

Reference prob 10.17