A total charge Q is uniformally distributed along the y axis from the origin to

Question

A total charge Q is uniformally distributed along the y axis from the origin to the point L on the y axis. a) What is the electric potential at the point (a,b,0) and b) How would you calculate the electric field at the point (c,d,0) from this electric potential? A total charge Q is uniformally distributed along the y axis from the origin to the point L on the y axis. a) What is the electric potential at the point (a,b,0) and b) How would you calculate the electric field at the point (c,d,0) from this electric potential? A total charge Q is uniformally distributed along the y axis from the origin to the point L on the y axis. a) What is the electric potential at the point (a,b,0) and b) How would you calculate the electric field at the point (c,d,0) from this electric potential?

Explanation / Answer

Electric potential due to a line charge, having charge density lambda, one end at (0,0,0) and other end at (0,L,0) at a point (x,y,0) is given by
V = k*lambda*ln[{b + sqroot(b^2 + d^2)}/{-a + sqroot(a^2 + d^2)}]
where a = -y
b = L - y
d = x
V(a,b,0) = k*lambda*ln[{(L - b) + sqroot((L - b)^2 + a^2)}/{b + sqroot(b^2 + a^2)}]

to find potential of a point (c,d,0) we just have to replace a by c and b by d in the formula

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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