Three nonconducting strips are bent to form arcs and, when assembled, they form part of a circle of radius  r = 6.13 cm.  The three strips have linear charge densities of  ?1 = 89.0 nC/m,   ?2 = −179 nC/m,  and  ?3 = 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. (b) You use a fourth nonconducting strip

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

r = 6.13 cm.

 The three strips have linear charge densities of 

?1 = 89.0 nC/m,

 

?2 = −179 nC/m,

 and 

?3 = 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.

(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?

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