1)What is the force on the 1.0nC charge in the figure?(Figure 1) Give the magnitude. 2)Give…
The following solution is suggested to handle the subject “1)What is the force on the 1.0nC charge in the figure?(Figure 1) Give the magnitude. 2)Give…“. Let’s keep an eye on the content below!
Question “1)What is the force on the 1.0nC charge in the figure?(Figure 1) Give the magnitude. 2)Give…”
1)What is the force on the 1.0nC charge in the figure?(Figure 1)
Give the magnitude.
2)Give the direction.
Answer
Coulomb force, vector algebra are the required concepts to solve this problem.
First, using the Coulomb force, find the net force acting on
charges. Next, use vector algebra to determine the direction of net force on
.
The Coulomb force is the force between two charges separated at a distance. The Coulomb force is.
is the distance between them.
A vector is a physical quantity that has both magnitude and direction. A vector can be divided into a vertical and horizontal component. If the angle of the vector is measured with the horizontal axis, then the
component is the horizontal component and the
component is the vertical component, where
is the angle made by the vector with the horizontal axis.
on the left is,
Substitute
for
,
for
,
for
and
for
.
on the right is,
Substitute
for
,
for
,
for
and
for
.
Both forces are vectors. As both the charges are positive, the force
acts along the line joining charge
on the left away from the charge. The force
acts along the line joining charge
on the light away from the charge.
These vectors can be broken down into components so that the horizontal components are equal or opposite and then they get cancelled. The vertical components are added.
is,
Substitute
for
and
and
for
.
As both the charges are positive, the force
acts along the line joining charge
on the left away from the charge. The force
acts along the line joining charge
on the light away from the charge.
By splitting the vectors into components, the
component of
will be in the positive
direction or towards right and
component of
will be in the positive
direction or upwards.
The
component of
will be in the negative
direction or towards right and
component of
will be in the positive
direction or upwards.
components are equal and opposite, they get cancelled. The remaining
components are equal, and both directed vertically upwards.
is therefore moving vertically upwards.
Ans:
is
.
Conclusion
Above is the solution for “1)What is the force on the 1.0nC charge in the figure?(Figure 1) Give the magnitude. 2)Give…“. We hope that you find a good answer and gain the knowledge about this topic of science.