A non-uniformly charged semicircle of radius R=10.9 cm lies in the xy plane, centered at the origin, as shown. The charge density varies as the angle θ (in radians) according to λ=1.15θ, where λ has units of  μC. What is the y component of the electric field at the origin? I have already found the total charge to be 6.186E-7 C.

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A non-uniformly charged semicircle of radius R=10.9 cm lies in the xy plane, centered at the origin, as shown. The charge density varies as the angle θ (in radians) according to λ=1.15θ, where λ has units of  μC. What is the y component of the electric field at the origin? I have already found the total charge to be 6.186E-7 C.

Nonuniform Semicircle of Charge
A non-uniformly charged semicircle of radius R = 10.9 cm lies in the xy plane, centered at the origin, as shown. The charge density varies as the angle (in radians) according to X = 1.150, where X has units of C.
TotalCharge
What is the total charge on the semicircle?
charge = 6.186E-7 C
ElectricFieldComponent
What is the y component of the electric field at the origin?
field-102154.1284 N/C
y
Semi-circle, radius R
0
R
0
<
Transcribed Image Text:Nonuniform Semicircle of Charge A non-uniformly charged semicircle of radius R = 10.9 cm lies in the xy plane, centered at the origin, as shown. The charge density varies as the angle (in radians) according to X = 1.150, where X has units of C. TotalCharge What is the total charge on the semicircle? charge = 6.186E-7 C ElectricFieldComponent What is the y component of the electric field at the origin? field-102154.1284 N/C y Semi-circle, radius R 0 R 0 <
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