1)What is the force on the 1.0nC charge in the figure?(Figure 1) Give the magnitude.
2)Give the direction.
The required concepts to solve the problem are Coulomb force and vector algebra.
First, using the Coulomb force, find the net force acting ondue to the two
charges. Then, using vector algebra, find the direction of the net force acting on
.
The force between two charges separated by a distance is called the Coulomb force. The Coulomb force is,
Here, is the Coulomb constant,
is the first charge,
is the second charge and
is the distance between the charges.
A vector is a physical quantity with both magnitude and direction. A vector can be split into a vertical component and a horizontal component. If the angle of the vector is measured with the horizontal axis, then thecomponent is the horizontal component and the
component is the vertical component, where
is the angle made by the vector with the horizontal axis.
The force on chargedue to the charge
on the left is,
Substitutefor
,
for
,
for
and
for
.
The force on chargedue to the charge
on the right is,
Substitutefor
,
for
,
for
and
for
.
Both the forces are vectors. As both the charges are positive, the forceacts along the line joining charge
and the charge
on the left away from the charge. The force
acts along the line joining charge
and the charge
on the light away from the charge.
By splitting these vectors into components, the horizontal components are equal and opposite, and they get cancelled. The vertical components get added.
Since, the net force acting onis,
Substitute for
and
and
for
.
As both the charges are positive, the forceacts along the line joining charge
and the charge
on the left away from the charge. The force
acts along the line joining charge
and the charge
on the light away from the charge.
By splitting the vectors into components, thecomponent of
will be in the positive
direction or towards right and
component of
will be in the positive
direction or upwards.
Thecomponent of
will be in the negative
direction or towards right and
component of
will be in the positive
direction or upwards.
As thecomponents are equal and opposite, they get cancelled. The remaining
components are equal, and both directed vertically upwards.
Therefore, the direction of the net force acting onis vertically upwards.
The net force acting onis
.
1)What is the force on the 1.0nC charge in the figure?(Figure 1) Give the magnitude. 2)Give...
a.) What is the force of the 1.0 nC in the figure (in Newtons)b.) Give the direction (degrees above horizontal)
II Review Part A The force on the -1.0nC charge is as shown in the figure (Figure 1) What is the magnitude of this force? Express your answer to two significant figures and include the appropriate units F92.6.10-6 N Submit Figure 1 of 1 Incorrect, Try Again: 5 attempts remaining Return to Assignment Provide Feedback 60%° h, 30° 5.0 cm 10 nC
Part A What is the magnitude of the force F on the 5.0 nC charge in the figure(Figure 1)? Part BWhat is the direction of the force F on the 5.0 nC charge in the tigure? Give your answer as an angle measured cw from the+x-axis.
Item 15 I Review Part A The force on the -1.0nC charge is as shown in the figure. (Figure 1). What is the magnitude of this force? Express your answer to two significant figures and include the appropriate units HA P-Value Units Submit Request Answer K Return to Assignment Provide Feedback Figure 1of 1 60° 30° 5.0 cm 10 nC
Item 15 I Review Part A The force on the -1.0nC charge is as shown in the figure. (Figure 1). What is the magnitude of this force? Express your answer to two significant figures and include the appropriate units HA P-Value Units Submit Request Answer K Return to Assignment Provide Feedback Figure 1of 1 60° 30° 5.0 cm 10 nC
What is the magnitude of the force F on the -10 nC charge in (Figure 1)? Suppose that a = 1.8 cm. Part B What is the direction of the force F on the - 10 nC charge in the figure? Give your answer as an angle measured cw or cw (specify which) from the + x - axis.
Part A What is the force on the 1.0 nC charge in (Figure 1)? Give the magnitude. Express your answer in newtons.Part B Give the direcion
What is the magnitude of the force F⃗ on the -10 nC
charge in (Figure 1)? Suppose that a = 1.6 cm. What is the
direction of the force F⃗ on the -10 nC charge in (Figure
1)? Give your answer as an angle measured cw or ccw (specify which)
from the +x-axis.
Figure 1 of1 一15nC 5.0 nC 3.0 cm 10 nC
What is the magnitude of the
force F⃗ on the -10 nC charge shown in (Figure 1)?
What is the direction of the force F⃗ on the -10 nC
charge in the figure? Give your answer as an angle measured cw from
the +x-axis.
-5.0 nC 15 nC 3.0 cm.. 1.0 cm -10 nC