Question
Asked Jun 20, 2019
The figure shows three circular arcs centered at the origin of a coordinate system. On each arc, the uniformly distributed charge is given in terms of Q = 4.67 µC. The radii are given in terms of R = 11.8 cm. What are the (a) magnitude and (b) direction (relative to the positive x direction) of the net electric field at the origin due to the arcs?

 

3R
+9Q
2R
+Q
R
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3R +9Q 2R +Q R

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Expert Answer

Step 1

Given:

Charge, 4.67 uC 4.67 x10 C
Radius, R 11.8 cm 0.118 m
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Charge, 4.67 uC 4.67 x10 C Radius, R 11.8 cm 0.118 m

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Step 2

Calculation:

The linear charge density for arc 1 radius R is,

Charge
Length
2
20
-(1)
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Charge Length 2 20 -(1)

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Step 3

Similarly, for arc 2 ...

60(2)
and R
-4Q
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60(2) and R -4Q

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