Two positive charges each of charge q are fixed on the y-axis, one at y=d and th

Question

Two positive charges each of charge q are fixed on the y-axis, one at y=d and the other at y=-d. A third positive charge 2q is located on the x-axis at x=2d is released from rest. Find symbolic expressions for a) the total electric potential due to the first two charges at the location of the charge 2q, b) the electric potential energy of the charge 2q, c) the kinetic energy of the charge 2q after it has moved infinitely far from the other charges and d) the speed of the charge 2q after it has moved infinitely far from the other charges if its mass is m.

Explanation / Answer

Potential due to a charge q at a distance r ,V = k*q/r Net distance = square root(d^2 + (2d)^2)=d*sqrt(5) Value of k = 9*10^9 (a)Vnet = k*q1/r + k*q2/r q1 = q2 = q'; r = d*sqrt(5) Vnet = 2*k*q/(d*sqrt(5)) V (b)Electric potential energy, Enet = Vnet *2q = 4*k*(q^2)/(d*sqrt(5)) J (c)Kinetic Energy = Enet Let v = velocity of charge, m = mass of charge 0.5*m*(v^2) = 4*k*(q^2)/(d*sqrt(5)) =>v^2 = 8*(k/m)*(q^2)/(d*sqrt(5)) =>v = squareroot(8*(k/m)*(q^2)/(d*sqrt(5))) m/s

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.