Problem 5: A thin rod of length L = 1.9 m lies along the positive y-axis with one end at the origin. The rod carries a uniformly distributed charge of Q1 = 5.2 µC. A point charge Q2 = 10.4 µC is located on the positive x-axis a distance a = 0.45 m from the origin. Refer to the figure. dy y Part (a) Consider a thin slice of the rod of thickness dy located a distance y away from the force on the point charge due to the charge on this thin slice? MultipleChoice : 1) Along the positive x-axis 2) Above the negative x-axis 3) Below the positive x-axis 4) Not enough information to determine 5) There is no force between the point charge and the slice of the rod 6) Above the positive x-axis 7) Below the negative x-axis Part (b) Choose the correct equation for x-component of the force, dFx, on the point ch SchematicChoice :
Problem 5: A thin rod of length L = 1.9 m lies along the positive y-axis with one end at the origin. The rod carries a uniformly distributed charge of Q1 = 5.2 µC. A point charge Q2 = 10.4 µC is located on the positive x-axis a distance a = 0.45 m from the origin. Refer to the figure. dy y Part (a) Consider a thin slice of the rod of thickness dy located a distance y away from the force on the point charge due to the charge on this thin slice? MultipleChoice : 1) Along the positive x-axis 2) Above the negative x-axis 3) Below the positive x-axis 4) Not enough information to determine 5) There is no force between the point charge and the slice of the rod 6) Above the positive x-axis 7) Below the negative x-axis Part (b) Choose the correct equation for x-component of the force, dFx, on the point ch SchematicChoice :
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Can you please solve (d) & (e)?
![Problem 5: A thin rod of length L = 1.9 m lies along the positive y-axis
with one end at the origin. The rod carries a uniformly distributed
charge of Q1 = 5.2 µC. A point charge Q2 = 10.4 uC is located on the
positive x-axis a distance a = 0.45 m from the origin. Refer to the figure.
dy
y
X
a
Part (a) Consider a thin slice of the rod of thickness dy located a distance y away from the origin. What is the direction of
the force on the point charge due to the charge on this thin slice?
MultipleChoice :
1) Along the positive x-axis
2) Above the negative x-axis
3) Below the positive x-axis
4) Not enough information to determine
5) There is no force between the point charge and the slice of the rod
6) Above the positive x-axis
7) Below the negative x-axis
Part (b) Choose the correct equation for x-component of the force, dFx, on the point charge due to the thin slice of the rod.
SchematicChoice :
kQ1Q2ady
Q1Q2ady
kQ,Q2ady dF
dF, =
L(a² + y²)
dFx
3
3
L(a² + y²)ž
L(a² + y²)ž
kQ1Q2ydy
kQ,Qzydy
Q1Q2ydy
L(a² + y²)
dF,
L(a² + y²)z
dFx
dFx
(a² + y²):
3
3
Part (c) Integrate the correct expression in part (b) over the length of the rod to find the x-component of the net force and
calculate its value, in newtons.
Numeric : A numeric value is expected and not an expression.
Fx =
Part (d) Choose the correct equation for the y-component of the force, dFy, on the point charge due to the thin slice of the
rod.
SchematicChoice :
kQ1Q2ady
kQ1Q2ady
dF,
L(a² + y²)ž
kQ1Q2ydy
dF,
L(a² + y²)z
dF,
3
3
3
L(a² + y²)z
kQ,Q2ady
L(a² + y²)
kQ1Q2ydy
dF,
kQ1Q2ady
dF,
L(a² + y²)ž
dF,
L(a² + y²)
Part (e) Integrate the correct expression in part (d) over the length of the rod to find the y-component of the net force and
calculate its value, in newtons.
Numeric : Anumeric value is expected and not an expression.
Fy =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F139cb5f2-923a-4627-93ad-b9a40e985e19%2F054d5c8b-2b11-429c-8a5e-acfd3024d911%2Fnegvvx9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 5: A thin rod of length L = 1.9 m lies along the positive y-axis
with one end at the origin. The rod carries a uniformly distributed
charge of Q1 = 5.2 µC. A point charge Q2 = 10.4 uC is located on the
positive x-axis a distance a = 0.45 m from the origin. Refer to the figure.
dy
y
X
a
Part (a) Consider a thin slice of the rod of thickness dy located a distance y away from the origin. What is the direction of
the force on the point charge due to the charge on this thin slice?
MultipleChoice :
1) Along the positive x-axis
2) Above the negative x-axis
3) Below the positive x-axis
4) Not enough information to determine
5) There is no force between the point charge and the slice of the rod
6) Above the positive x-axis
7) Below the negative x-axis
Part (b) Choose the correct equation for x-component of the force, dFx, on the point charge due to the thin slice of the rod.
SchematicChoice :
kQ1Q2ady
Q1Q2ady
kQ,Q2ady dF
dF, =
L(a² + y²)
dFx
3
3
L(a² + y²)ž
L(a² + y²)ž
kQ1Q2ydy
kQ,Qzydy
Q1Q2ydy
L(a² + y²)
dF,
L(a² + y²)z
dFx
dFx
(a² + y²):
3
3
Part (c) Integrate the correct expression in part (b) over the length of the rod to find the x-component of the net force and
calculate its value, in newtons.
Numeric : A numeric value is expected and not an expression.
Fx =
Part (d) Choose the correct equation for the y-component of the force, dFy, on the point charge due to the thin slice of the
rod.
SchematicChoice :
kQ1Q2ady
kQ1Q2ady
dF,
L(a² + y²)ž
kQ1Q2ydy
dF,
L(a² + y²)z
dF,
3
3
3
L(a² + y²)z
kQ,Q2ady
L(a² + y²)
kQ1Q2ydy
dF,
kQ1Q2ady
dF,
L(a² + y²)ž
dF,
L(a² + y²)
Part (e) Integrate the correct expression in part (d) over the length of the rod to find the y-component of the net force and
calculate its value, in newtons.
Numeric : Anumeric value is expected and not an expression.
Fy =
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