A total charge +Q is distributed uniformly on y a plastic rod that is oriented along the y-axis between y = 0 and y = a. A point P is located on the positive x- axis a distance d from the origin as shown in the figure. A. rod. Express your answer in terms of Q and a. B. Write down the linear charge density of the a +Q P d To find the field at point P, the rod must be divided into infinitesimal segments dy. What is the charge dQ on one of these infinitesimal segments dy? c. Given that there is an amount of charge dQ on an infinitesimal segment dy, what is the magnitude of the electric field created by this segment at point P? X D. Write out the integral needed to solve for the x-component of the electric field at point P due to the charged rod. DO NOT ATTEMPT TO SOLVE THE INTEGRAL, but you must include the appropriate limits of integration.

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Constants and conversion
qe = 1.60x10-¹⁹ C
factors that may be useful:
me=9.11x10-³¹ kg mp = 1.67x10-27 kg
Surface area of a sphere = 4TR²
Volume of a sphere = (4/3) лR³
Eo = 8.85x10-12 C²/N-m²
Transcribed Image Text:Constants and conversion qe = 1.60x10-¹⁹ C factors that may be useful: me=9.11x10-³¹ kg mp = 1.67x10-27 kg Surface area of a sphere = 4TR² Volume of a sphere = (4/3) лR³ Eo = 8.85x10-12 C²/N-m²
2.
A total charge +Q is distributed uniformly on
a plastic rod that is oriented along the y-axis between
y = 0 and y = a. A point P is located on the positive x-
axis a distance d from the origin as shown in the figure.
A.
Write down the linear charge density of the
rod. Express your answer in terms of Q and a.
B.
a
y
+Q
- d
To find the field at point P, the rod must be divided into infinitesimal segments dy.
What is the charge dQ on one of these infinitesimal segments dy?
C.
Given that there is an amount of charge dQ on an infinitesimal segment dy, what is
the magnitude of the electric field created by this segment at point P?
X
D.
Write out the integral needed to solve for the x-component of the electric field at point
P due to the charged rod. DO NOT ATTEMPT TO SOLVE THE INTEGRAL, but you must
include the appropriate limits of integration.
Transcribed Image Text:2. A total charge +Q is distributed uniformly on a plastic rod that is oriented along the y-axis between y = 0 and y = a. A point P is located on the positive x- axis a distance d from the origin as shown in the figure. A. Write down the linear charge density of the rod. Express your answer in terms of Q and a. B. a y +Q - d To find the field at point P, the rod must be divided into infinitesimal segments dy. What is the charge dQ on one of these infinitesimal segments dy? C. Given that there is an amount of charge dQ on an infinitesimal segment dy, what is the magnitude of the electric field created by this segment at point P? X D. Write out the integral needed to solve for the x-component of the electric field at point P due to the charged rod. DO NOT ATTEMPT TO SOLVE THE INTEGRAL, but you must include the appropriate limits of integration.
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