Charge Q is uniformly distributed along a thin, flexible rod of length L. The rod is then bent into the semicircle shown in the figure (Figure 1). Find an expression for the electric field E at the center of the semicircle. Hint: A small piece of arc length As spans a small angle Að = As /R, where R is the radius. Express your answer in terms of the variables Q, L, unit vectors i, j, and appropriate constants. Figure 1 of 1 ΑΣφ ? Center Part B Evaluate the field strength if = 12 cm and Q = 41 nC . Express your answer with the appropriate units. 回 =

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter25: Gauss’s Law
Section: Chapter Questions
Problem 68PQ: Examine the summary on page 780. Why are conductors and charged sources with linear symmetry,...
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I need help with parts A&B please.
Part A
Charge Q is uniformly distributed along a thin, flexible rod
of length L. The rod is then bent into the semicircle shown
in the figure (Figure 1).
Find an expression for the electric field E at the center of
the semicircle.
Hint: A small piece of arc length As spans a small angle
A0 = As /R, where R is the radius.
Express your answer in terms of the variables Q, L,
unit vectors i, j, and appropriate constants.
Figure
1 of 1
ΑΣφ
?
XXX**
Center
L
Part B
Evaluate the field strength if L = 12 cm and Q
= 41 nC .
Express your answer with the appropriate units.
Transcribed Image Text:Part A Charge Q is uniformly distributed along a thin, flexible rod of length L. The rod is then bent into the semicircle shown in the figure (Figure 1). Find an expression for the electric field E at the center of the semicircle. Hint: A small piece of arc length As spans a small angle A0 = As /R, where R is the radius. Express your answer in terms of the variables Q, L, unit vectors i, j, and appropriate constants. Figure 1 of 1 ΑΣφ ? XXX** Center L Part B Evaluate the field strength if L = 12 cm and Q = 41 nC . Express your answer with the appropriate units.
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