A particle of mass 6.4 g and charge 21.5 µC is moving in an electric potential field u.x², V(x, y) = = C₁ x C₂ • y² + c3 · Y. where c₁= 65 V/m, c2= 45 V/m², and c3= 20 V/m³. Find the electric field acting on the particle as a function of its position. Use V/m and meters for the units, but do not put them explicitly in E(x, y). The x-compoment of the E-field, Ex(x,y) = The y-compoment of the E-field, Ey(x, y) = Units Select an answer Units Select an answer What is the magnitide of the particle's acceleration at x = 1 m and y = -1 m?
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- A From Equation 25.6, we have the following. AV = -Ed = -(7.2 × 104 v/m)(0.60 m) = B V From Equation 25.3, we have the following. AU = qAV = eAV = (1.6 x 10-19 C)(AV) | The negative sign means that the potential energy of the system decreases as the proton moves in the direction of the electric field. This decrease is consistent with the conservation of energy in an isolated system: as the proton accelerates in the direction of the field, it gains kinetic energy and at the same time the system loses electric potential energy. The increase in kinetic energy of a charged particle in an electric field is exploited in many devices, including electron guns for TV picture tubes and particle accelerators for research in particle physics. You can predict and observe the speed of the proton as it arrives at the negative plate for random values of the electric field using this Interactive Example. Hints: Getting Started | I'm Stuck Exercise 25.2 For the previous example, apply the principle of…Suppose that the electric potential outside a living cell is higher than that inside the cell by 0.077 V. How much work is done by the electric force when a sodium ion (charge = +e) moves from the outside to the inside? Number i Units tAn electric potential produced by some distribution of charge in a region is given by the equation V= 4xy2 - 3z²x + 15y²z with V in volts and the coordinates in meters. Determine the z-component of electric field (in kV/m) at the point (1.0, 3.0, 2.0) m.
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- A charged particle with -0.41 C of electric charge is placed in a point in the space where the electrical potential is 27.3 V. What is the electrical potential energy of the particle in the unit of J?Answers: a) 3.3 C c/m² 6. Two electrons are fixed 2.00 cm apart. Another electron is shot from infinity and comes to rest midway between the two. What was its initial speed? Answer: 318 m/sThe electric potential in a certain region is represented by the graph shown below. What is the electric force vector on an alpha particle that is at x = 0.70 cm and moving to the right? Express your answer in vector form. F = v (10° v) 10 6 5 4 3 2 1 X (cm) 6 1 2 3 4 5