EC4: Ch5 Begin Date: 9/12/2021 11:01:00 PM -- Due Date: 12/17/2021 10:59:00 PM End Date: 7/29/2022 10:59:00 PM A point charge, Q = -4.8 µC, is located at the origin. A rod of length L = 1.3 m is located along the x-axis with the near side a distance d= 0.45 m from the origin. A charge Q2 = 16.8 µC is uniformly spread over the length of the rod. d dx EA 25% Part (a) Consider a thin slice of the rod, of thickness dr, located a distance x away from the origin. What is the direction of the force on the charge located at the origin due to the charge on this thin slice of the rod? P A 25% Part (b) Write an expression for the magnitude of the force on the point charge, dF, due to the thin slice of the rod. Give your answer in terms of the variables O1, 0, L, x, dr, and the Coulomb constant, k. |dF = 8 HOME a b dx g 4 6. h i k L 1 3 P Q1 Q2 END - t X y Vol BACKSPACE DEL CLEAR E A 25% Part (c) Integrate the force from each slice over the length of the rod, and write an expression for the magnitude of the electric force on the charge at the origin. EA 25% Part (d) Calculate the magnitude of the force F], in newtons, that the rod exerts on the point charge at the origin.

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EC4: Ch5 Begin Date: 9/12/2021 11:01:00 PM -- Due Date: 12/17/2021 10:59:00 PM End Date: 7/29/2022 10:59:00 PM
A point charge, Q1 =-4.8 µC, is located at the origin. A rod of length L = 1.3 m
is located along the x-axis with the near side a distance d= 0.45 m from the origin. A charge Q2 =
y
16.8 µC is uniformly spread over the length of the rod.
L
Q,
d
X
dx
the direction of the force on the charge
A 25% Part (a) Consider a thin slice of the rod, of thickness dx, located a distance x away from the origin. What
located at the origin due to the charge on this thin slice of the rod?
P A 25% Part (b) Write an expression for the magnitude of the force on the point charge, dF], due to the thin slice of the rod. Give your answer in terms of
the variables 0,, Q2, L, x, dx, and the Coulomb constant, k.
|dF|
a
7
8.
9
НOME
a
b
dx
4
5
6.
k
1
2
3
P
Q1
Q2
+
END
m
S
t
VO BACKSPACE
CLEAR
X
y
DEL
A 25% Part (c) Integrate the force from each slice over the length of the rod, and write an expression for the magnitude of the electric force on the charge
at the origin.
A 25% Part (d) Calculate the magnitude of the force (F], in newtons, that the rod exerts on the point charge at the origin.
Transcribed Image Text:EC4: Ch5 Begin Date: 9/12/2021 11:01:00 PM -- Due Date: 12/17/2021 10:59:00 PM End Date: 7/29/2022 10:59:00 PM A point charge, Q1 =-4.8 µC, is located at the origin. A rod of length L = 1.3 m is located along the x-axis with the near side a distance d= 0.45 m from the origin. A charge Q2 = y 16.8 µC is uniformly spread over the length of the rod. L Q, d X dx the direction of the force on the charge A 25% Part (a) Consider a thin slice of the rod, of thickness dx, located a distance x away from the origin. What located at the origin due to the charge on this thin slice of the rod? P A 25% Part (b) Write an expression for the magnitude of the force on the point charge, dF], due to the thin slice of the rod. Give your answer in terms of the variables 0,, Q2, L, x, dx, and the Coulomb constant, k. |dF| a 7 8. 9 НOME a b dx 4 5 6. k 1 2 3 P Q1 Q2 + END m S t VO BACKSPACE CLEAR X y DEL A 25% Part (c) Integrate the force from each slice over the length of the rod, and write an expression for the magnitude of the electric force on the charge at the origin. A 25% Part (d) Calculate the magnitude of the force (F], in newtons, that the rod exerts on the point charge at the origin.
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