The dashed lines in the diagram represent cross-sections of equipotential surfaces drawn in 1-V increments.
What is the work WAB done by the electric force to move a 1-C charge from A to B?
What is the work WAD done by the electric force to move a 1-C charge from A to D?
The magnitude of the electric field at point C is
a) greater than the magnitude of the electric field at point B.
b) less than the magnitude of the electric field at point B.
c) equal to the magnitude of the electric field at point B.
d) unknown because the value of the electric potential at point Cis unknown.
The concepts are used to solve this problem are work done by the electric force and electric field.
The work done by the electric force to move a charge from one point to another is calculated using the relation between work done and potential energy.
The electric field strength can be calculated by using the relation between the electric field strength and the potential energy.
The surface on which the electric potential is the same at every point is called equipotential surface. The potential difference between any two points on the equipotential line is equal to zero.
The work done in moving the charge from one point to the other point is known as the change in electric energy .
If the work expended by the force is positive, then the potential energy of the object is lowered. Hence, the negative sign is taken for the potential energy change.
The change in potential energy is,
Here, and are the initial and final electric potentials.
The electric field strength is equal to the negative gradient of the electric potential.
The electric potential is defined as the potential energy per unit charge and is given by,
Here, U is the potential energy, and q is the charge.
The electric field strength is equal to the negative gradient of the electric potential.
The change in electric potential between two points is,
Here, and are the electric potentials at initial and final points respectively.
[Steps 1]
The potential difference can be expressed as follows:
Here, q is the charge.
Rearrange the above equation for .
The change in the electric potential between the points and is,
Here, is the potential at the point and is the potential at the point .
Substitute for in the equation and solve for .
Replace with in .
Since the points A and B are on the same potential line, they both will have equal amount of electric potential.
Substitute 1 C for q, 1 V for , and 1 V for .
Express the work done in moving the charge between the points A and D as follows:
Substitute 1 C for q, 0 V for , and 1 V for .
The electric field need not be constant over the equipotential surface. The electric field strength is inversely proportional to the spacing between the equipotential surfaces.
The equipotential lines are closer at point C than the equipotential lines at point B.
Hence, the magnitude of electric field at point C is not less than or equal to the magnitude of electric field at point B.
The field strength is stronger where the equipotential lines are closer together and weaker where they are farther apart.
The equipotential lines are closer at point C than that of at point B.
The value of electric potential at point C can be calculated and hence it is a known value.
The equipotential lines are closer at point C than the equipotential lines at point B.
Hence, the magnitude of electric field at point C is greater than the magnitude of electric field at point B.
Ans:Thus, the work done by electric force to move a 1 C of charge from point A to point B is 0 J.
Thus, the work done by electric force to move 1 C of charge from point A to point D is 1 J.
Thus, the statement magnitude of electric field at point C is greater than the magnitude of electric field at point B is correct.
The dashed lines in the diagram represent cross-sections of equipotential surfaces drawn in 1-V increments.
The dashed lines in the diagram represent cross sections of equipotential surfaces drawn in 1 Vincrements. (Figure 1) Part A What is the work WAB done by the electric force to move a 1 Ccharge from A to B? Part B What is the work WAD done by the electric force to move a 1 Ccharge from A to D? Part C The magnitude of the electric field at point C is *greater than the magnitude of the electric field...
The dashed lines in the diagram represent cross-sections of equipotential surfaces drawn in 1-V increments.What is the work WAB done by the electric force to movea1-C charge from A to B?
Electric Fields and Equipotential Surfaces Part A The dashed lines in the diagram represent cross sections What is the work done by the electric force to move a 1 C charge from A to B? Express your answer in joules. View Available Hintís) (Figure 1) Figure C1 of 1 Part E I v What is the work done by the electric force to move a 1 C charge from A to D? Express your answer in joules. o V -1...
PART A What is the work done by the electric force to move a 1 C charge from A to B? Express your answer in joules. PART B What is the work done by the electric force to move a 1 C charge from A to D? Express your answer in joules. Part C The magnitude of the electric field at point C is greater than the magnitude of the electric field at point B. less than the magnitude of...
Please answer parts A,B, & C, thank you! Phy284.Sp19 Assignments <p08 Electric Fields and Equipotential Surfaces Part A Constants What is the work done by the electric force to move a 1 C charge from A to B? Express your answer in joules. (Figure 1) Figure く 1011 2 V I v Part B o v What is the work done by the electric force to move a 1 C charge from A to D? Express your answer in joules....
The equipotential surfaces in the field map below (shown as dashed lines) have potential differences between a point at infinity and themselves of 1V, 5V, and 10V. (a)[4 pt(s) ]Label the surfaces with the correct voltage. Justify your choices using the properties of electric potential and its relation to work. (b)[3 pt(s) ]Is the work to move a +q charge from points A to B positive, negative, or about zero? Justify using the properties of work and electric potential. (c)[3...
1) Do the electric field lines cross? Can two equipotential 2) Explain why the equipotential surfaces should be always 3) A uniform electric field is parallel to the y-axis. What lines ever cross? Explain. perpendicular to the electric field lines? direction can a charge be displaced in this field without any external work being done on the charge?
The diagram shows the cross sections of equipotential surfaces at various distancelx from point 0 in an electric field. V (V) 60 55 50 45 x (cm) 20 40 6080 (a) (b) (c) (d) (e) Explain whether the electric field is uniform. Find the magnitude of the electric field strength. What is the direction of the electric field? What is the force acting on an electron in the electric field? An electron moves from the equipotential surface of 55 V...