**Problem Statement:** A particle with a charge of \( q = 12.0 \, \mu \text{C} \) travels from the origin to the point \( (x, y) = (20.0 \, \text{cm}, 50.0 \, \text{cm}) \) in the presence of a uniform electric field \( \vec{E} = 290 \hat{\imath} \, \text{V/m} \). Determine the following: **(a)** The change in the electric potential energy (in J) of the particle-field system: - [Answer box for the change in potential energy] J **(b)** The electric potential difference (in V) through which the particle moves: - [Answer box for the potential difference] V

A particle with a charge of q = 11.0 µC travels from the origin to the point (x, y) = (20.0 cm, 50.0 cm) in the presence of a uniform electric field E = 250î V/m. Determine the following. (a) the change in the electric potential energy (in J) of the particle-field system (b) the electric potential difference (in V) through which the particle moves V

A particle has a charge of +3.50 µC and moves from point A to point B, a distance of 0.130 m. The particle experiences a constant electric force, and its motion is along the line of action of the force. The difference between the particle's electric potential energy at A and B is EPEA - EPEB = +9.30 x 10-4 J. (a) Find the magnitude of the electric force that acts on the particle. (b) Find the magnitude of the electric field that the particle experiences. (a) Number i (b) Number Units Units

A proton is acted on by an uniform electric field of magnitude 203 N/C pointing in the negative y direction. The particle is initially at rest. (a) Determine the work done by the electric field when the particle has moved through a distance of 3.65 cm from its initial position.(b) Determine the change in electric potential energy of the charged particle. (c) Determine the speed of the charged particle.

The electric field in a particular region of space is found to be uniform, with a magnitude of 500 N/C and parallel to the +y direction. (a) What is the change in electric potential energy of a charge q=2.1 μC if it is moved from (x, y) = (20 cm, 45 cm) to (5 cm, 30 cm)? ml (b) What is the change in electric potential energy if the charge is moved the same distance along the x axis? mj

An electron moving parallel to the x axis has an initial speed of 3.70 3 106 m/s at the origin. Its speed is reduced to 1.40 3 105 m/s at the point x 5 2.00 cm. (a) Calculate the electric potential difference between the origin and that point. (b) Which point is at the higher potential?

find magnitude of EF at (3.0x +5.1y - 2.5z) m. electric potential is (x.y.z)=5.5•x•(y^2)•z

A +3.6μC charge is in an electric field. What happens if the charge is replaced by a +7.2μC charge? a) The electric potential doubles, and the electric potential energy stays the same. b) The electric potential stays the same, and the electric potential energy doubles. c) Both the electric potential and electric potential energy stay the same. d) Both the electric potential and electric potential energy double. e) The electric potential doubles, the electric potential energy quadruples.