Positive charge Q is uniformly distributed around a semicircle of radius a as shown in (Figure 1). Find the magnitude and direction of the resulting electric field at point P, the center of curvature of the semicircle. Figure < 1 of 1 ▼ Part C Consider an infinitesimal segment located at an angular position on the semicircle, measured from the lower right corner of the semicircle at x = a, y = 0. (Thus 0 = at x = 0, y =a and 0= π at x = -a, y = 0.) What are the 2- and y- components of the electric field at point P (dE, and dEy) produced by just this segment? Express your answers separated by a comma in terms of some, all, or none of the variables Q, a, 0, de, and the constants k and T. ► View Available Hint(s) dEz. dEy= Submit ΓΨΓ ΑΣΦ 1 kdQ a² C kdQ cos 0,- sin a² Previous Answers W Review | Constants. ?

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Part B:
How much charge is on a segment ds?

Express your answer in terms of some, all, or none of the variables Q, a, θ, dθ, and the constant π.

dQ = ?

<Ch 21 HW
Bridging Problem: Calculating Electric Field: Half a Ring of Charge
Positive charge is uniformly distributed around a semicircle of
radius a as shown in (Figure 1). Find the magnitude and direction
of the resulting electric field at point P, the center of curvature of
the semicircle.
Figure
y
P
a
1 of 1 >
X
Part C
dEx, dEy=
ㅠ
Consider an infinitesimal segment located at an angular position on the semicircle, measured from the lower right corner of the semicircle at x = a, y = 0.
(Thus = at x = 0, y = a and 0 = π at x = −a, y = 0.) What are the x- and y- components of the electric field at point P (dEx and dEy) produced
2
by just this segment?
Express your answers separated by a comma in terms of some, all, or none of the variables Q, a, 0, de, and the constants k and T.
View Available Hint(s)
Submit
15| ΑΣΦ
kdQ
a²
EXECUTE
cos 0,-
Previous Answers
X Incorrect; Try Again; 19 attempts remaining
Part D Complete previous part(s)
kdQ
sin
q²
Part E Complete previous part(s)
Part F Complete previous part(s)
25 of 25
=
Review | Constants
Transcribed Image Text:<Ch 21 HW Bridging Problem: Calculating Electric Field: Half a Ring of Charge Positive charge is uniformly distributed around a semicircle of radius a as shown in (Figure 1). Find the magnitude and direction of the resulting electric field at point P, the center of curvature of the semicircle. Figure y P a 1 of 1 > X Part C dEx, dEy= ㅠ Consider an infinitesimal segment located at an angular position on the semicircle, measured from the lower right corner of the semicircle at x = a, y = 0. (Thus = at x = 0, y = a and 0 = π at x = −a, y = 0.) What are the x- and y- components of the electric field at point P (dEx and dEy) produced 2 by just this segment? Express your answers separated by a comma in terms of some, all, or none of the variables Q, a, 0, de, and the constants k and T. View Available Hint(s) Submit 15| ΑΣΦ kdQ a² EXECUTE cos 0,- Previous Answers X Incorrect; Try Again; 19 attempts remaining Part D Complete previous part(s) kdQ sin q² Part E Complete previous part(s) Part F Complete previous part(s) 25 of 25 = Review | Constants
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