For the following situations, consider moving a positive charge from very far away to the origin along the y-axis. For which situation would you do the most work?

The drawing shows a set of equipotential surfaces seen in cross-sections. Each is labeled according to its electric potential. A 3.7 x 10-7 C point charge is placed at position A. Find the work done on the point charge by the electric force when it is moved (a) from A to B, and (b) A to C. B +650.0 V +550.0 V +150.0 V +450.0 V +250.0 V 2.0 cm +350.0 V (a) Number i 1.69E-5 (b) Number o Units J Units J

A uniform electric field of magnitude 336 V/m is directed in the positive x-direction. Suppose a 19 µC charge moves from the origin to point A at the coordinates, (20 cm, 53 cm). What is the absolute value of the change in potential from the origin to point A? Answer in units of V.

Two charges of 18 µC each are placed on the corners of an equilateral triangle of side 0.6 m.  How much work is required to move another charge of 6 µC from infinity (where potential energy = 0) to an empty corner?

The drawing shows a graph of a set of equipotential surfaces seen in cross section. Each is labeled according to its electric potential. The work done by an electric force in moving a charge from point A to point B is 2.7×10-³ J. a) What is the charge? b) What is the direction of electric field at point B? c) What is the electric field strength (approximately) at point A? +150.0 V +250.0 V +350.0 V C B D +650.0 V +550.0 V +450.0 V 2.0 cm

A particle with a charge of -1.3 μC and a mass of 3.1 × 10-6 kg is released from rest at point A and accelerates toward point B, arriving there with a speed of 36 m/s. The only force acting on the particle is the electric force. (a) Which point is at the higher potential? O point A point B Give your reasoning. O Negative charge accelerates from a lower potential to a higher potential. Negative charge accelerates from a higher potential to a lower potential. (b) What is the potential difference VB - Vд between A and B?

As shown, two points Ⓐ and Ⓑ are located within a region in which there is an electric field. (i) How would you describe the potential difference ΔV = VⒷ - VⒶ? (a) It is positive. (b) It is negative. (c) It is zero. (ii) A negative charge is placed at Ⓐ and then moved to Ⓑ. How would you describe the change in potential energy of the charge–field system for this process? Choose from the same possibilities.

A uniform electric field of magnitude 315 V/m is directed in the negative y direction as shown in the figure below. The coordinates of point  are (−0.400, −0.750) m, and those of point  are (0.450, 0.300) m. Calculate the electric potential difference VB − VA using the dashed-line path.

An electric dipole is oriented parallel to a uniform electric field, as shown. It is rotated to one of the five orientations shown below. Rank the fınal orientations according to the change in the potential energy of the dipole-field system, most negative to most positive. 1 3 4 1, 2, 4, 3 3, 2 and 4 tie, then 1 1, 2 and 4 tie, then 3 1, 2, 3, 4 4, 3, 2, 1 2)

In a given coordinate system shown at right, a particle with charge q = 10.8 μC sits at the origin. The coordinates of point A are (0, 5) m. The coordinates of point B are (5, 0) m. The coordinates of point C are (5, 5) m. The coordinates of point D are (5, -5) m. How much work is done by the field in moving a proton from point C to point A in J?  How much work is done by the field in moving a proton from point D to point B in J?