0/5 points | Previous Answers KatzPSE1 24.P030 My Notes Ask Your Teache an expre

Question

0/5 points | Previous Answers KatzPSE1 24.P030 My Notes Ask Your Teache an expression for the magnitude of the electric field at point A midway between the two rings of radius R shown in the figure w. The ring on the left has a uniform charge q, and the ring on the right has a uniform charge g2. The rings are separated by me the positive x axis points to the right, through the center of the rings. (Use any variable or symbol stated above along with the following as necessary: k for Coulomb's constant. Assume q, is greater than a, and that both charges are positive.) 1 92 Need Help? Watch

Explanation / Answer

as we know, electric field on the axis of a ring of charge of Q of radius r, and at a distance of x from the center is given by

E=k*Q*x/(x2+r2)3/2

and it will point along the central axis.

the sign of Q will determine whether the direction is away from the ring or towards the ring.

hence in the given question, both the direction will be along x axis.

assuming q1 and q2 , both to be positive (if any of them are negative, the negative sign with the charge will reverse the direction automatically)

then field due to left ring will be along +ve x axis and field due to right ring will be along -ve x axis.

here radius=R

distance=d/2

then field

E = [ k*q1*d / 2(R2 + (d/2)2)3/2 ] - [ k*q2*d / 2(R2 + (d/2)2)3/2 ]

E = [k*d/ 2(R2 + (d/2)2)3/2 ]*(q1 - q2)

Related Questions

Navigate

• Browse (All)
• Browse
• Subjects

---

---

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