Three nonconducting strips are bent to form arcs and, when assembled,

Question

Notify Me Bookmark

Three nonconducting strips are bent to form arcs and, when assembled, they form part of a circle of radius r = 5.93 cm. The three strips have linear charge densities of λ1 = 97.0 nC/m, λ2 = −179 nc/m, and λ3 = 268 nC/m, respectively, and subtend angles of 60∘, 120∘, and 45∘, respectively, at the center. (a) Determine the electric potential at the center of the circle of which the strips form a part. V (b) You use a fourth nonconducting strip to close the circle. What should be the linear charge density on this strip if the potential at the center of the circle is to be zero? nC/m

Image text

Three nonconducting strips are bent to form arcs and, when assembled, they form part of a circle of radius

r = 5.93 cm

. The three strips have linear charge densities of

λ_{1} = 97.0 nC / m, λ_{2} = - 179 nc / m

, and

λ_{3} = 268 nC / m

, respectively, and subtend angles of

60^{\circ}, 120^{\circ}

, and

45^{\circ}

, respectively, at the center. (a) Determine the electric potential at the center of the circle of which the strips form a part.

◻

V (b) You use a fourth nonconducting strip to close the circle. What should be the linear charge density on this strip if the potential at the center of the circle is to be zero?