Three nonconducting strips are bent to form arcs and, when assembled, they form part of a circle of radius r-6.47 cm. The three strips have linear charge densities of ₁88.0 nC/m, 1₂-179 nC/m, and 23-268 nC/m, respectively, and subtend angles of 60°, 120°, and 45°, respectively, at the center. 120 λ₁ 2₂ (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

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Three nonconducting strips are bent to form arcs and, when assembled, they form part of a circle of radius r-6.47 cm. The three strips have linear charge densities of A₁-88.0 nC/m, 1₂-179 nC/m, and 23-268 nC/m, respectively, and subtend angles of 60°, 120°, and 45°, respectively, at
the center.
120
λ₁
2₂
(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
Transcribed Image Text:Three nonconducting strips are bent to form arcs and, when assembled, they form part of a circle of radius r-6.47 cm. The three strips have linear charge densities of A₁-88.0 nC/m, 1₂-179 nC/m, and 23-268 nC/m, respectively, and subtend angles of 60°, 120°, and 45°, respectively, at the center. 120 λ₁ 2₂ (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
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