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(Solved): A thin rod is bent into a semicircular arc in the xy plane, of radius R=67cm, centered at the origin ...



A thin rod is bent into a semicircular arc in the xy plane, of radius

R=67cm

, centered at the origin. The rod bears a uniformly distributed charge

Q

of

-65\times 10^(-9)C

. Calculate approximately the electric field at the origin, due to the bent rod. Do this calculation by dividing the rod into five segments of equal size, as shown in the diagram, and modeling each segment as a point charge at the midpoint of the segment (white dots in the diagram).What is

|vec(E)_(1)|

, the magnitude of the electric field at the observation location due to segment 1 ?

|vec(E)_(1)|=◻,(N)/(C)

What is the unit vector in the direction of the electric field at the observation location due to segment 1 ?

widehat(E)_(1)=(:◻:)

Part 2 How does

|vec(E)_(2)|

compare to

|vec(E)_(1)|

?

|vec(E)_(2)|<|vec(E)_(1)|

|vec(E)_(2)|=|vec(E)_(1)|

->|vec(E)_(2)|>|vec(E)_(1)|

Part 3 What is the net electric field at the observation location due to all five segments?

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