In the region of space depicted below, a uniform electric field of 12 N/C points in the +y direction. If a particle starts at the white circle on the x-axis, to which point would it move to have its electric potential decrease the most? Between which pairs of points is there zero potential difference?
Explain
We can easily solve this problem using the concept of equipotential lines.
Equipotential lines are those lines on which the potential remains the same. Two equipotential lines never intersect with each other i.e. they always remains parallel .
Relation between electric field and equipotential lines :
Equipotential lines are always perpendicular to the electric field lines.
And the direction of electric field is always from the higher potential to lower potential .
So,the highest potential is at the point F and the lowest potential is at the point A .
Based on these information we can conclude that,
if the particle move to point A then its electric potential will decreases the most (as electric field is in +y direction).
And between the point C and D the potential difference is zero (as they are on the same equipotential line).
For any doubt please comment and please give an up vote. Thank you.
In the region of space depicted below, a uniform electric field of 12 N/C points in...
A region of space has a non-uniform electric field that points in the +x-direction and has magnitude as shown in the figure (Figure 1) As a reference point, take the potential at the origin to be -100 V. Calculate the electric potential at x = 3.0 m. Express your answer to two significant figures and include the appropriate units.
18. Uniform Electric Fields: A region of space contains a uniform electric field, directed toward the right, as shown in the figure. Which statement about this situation is correct? (5 points) A) The potential at all three locations is the same. B) The potentials at points A and B are equal, and the potential at point is higher than the potential at point A. C) The potential at points A and B are equal, and the potential at point C...
A charged particle moves through a region of space that has both a uniform electric field and a uniform magnetic field. What is the condition for these fields in order for the particle to move through this region at a constant velocity? Does the answer depend on the sign of the particle’s electric charge?
In the region shown in the image, there is a uniform electric field of magnitude 39.3 N/C which points in the negative y‑direction. Points 2, 3, and 4 are all 0.623 m away from point 1, and the angle ϕ=46.4°. Calculate the potential differences ΔV between each indicated pair of points.
A proton is acted on by an uniform electric field of magnitude 383 N/C pointing in the positive y direction. The particle is initially at rest. (a) In what direction will the charge move? !..-Select-.., a) +x b)-x d)-y e)+2 f)-z (b) Determine the work done by the electric field when the particle has moved through a distance of 3.15 cm from its initial position c) +y (c) Determine the change in electric potential energy of the charged particle. (d)...
A region of space contains a uniform electric field, with a constant magnitude E and directed along the positive x-axis. Part A - Which figure below correctly describes the electric potential as a function of x? O ☺ O O b)
A proton is acted on by an uniform electric field of magnitude 273 N/C pointing in the negative y direction. The particle is initially at rest. (a) In what direction will the charge move? (b) Determine the work done by the electric field when the particle has moved through a distance of 3.25 cm from its initial position. (c) Determine the change in electric potential energy of the charged particle. d) Determine the speed of the charged particle.
Suppose a region of space has a uniform electric field, directed toward the left, as shown in the figure above. (Assume point A is directly above point B.) Which statement is true? The electrical potential ("voltage") at all three locations is the same. The potential at points A and B are equal, and the potential at point C is lower than the potential at points A and B. The potential at points A and B are equal, and the potential...
3.4 The electric field in a region of space is zero for x < 0 and x 〉 9 m, and is Ezー-80 V/m for 0 〈 x 〈 3.0 m and is Ez +40 V/m for 3.0 〈 x 〈 9.0 m. (a) If the potential at zero for x 0 make a quantitative sketch of the electric potential for-1.0 〈 x 〈 10 m. (b) What distribution of charges produces the electric field? Hints: What type of charge...