An electron is placed in an xy plane where the electric potential depends on x and y as shown in the figure (the potential does not depend on z). The scale of the vertical axes is set by Vs = 500 V. In unit-vector notation, what is the electric force on the electron? Number i V (V) -V₂ i i 0,2 x (m) 0,4 V (V) -V, 0,2 y (m) j Units 0,4 <
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- 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 JYour answer is partially correct. The drawing shows a square, each side of which has a length of L = 0.250 m. Two different positive charges 91 and q2 are fixed at the corners of the square. Find the electric potential energy of a third charge q3 = -3.00 x 109 C placed at corner A and then at corner B. EPEA= EPEB= I 0 > Ma Me Jhin die A 91 = +1.50 × 10-⁹ C 92= +4.00 x 10 cThe graph in the figure shows the variation of the electric potential V as a function of position x. V (volts) 4 AA 4 2 4 -8 -6 -2.0 V/m +2.0 V/m The x-component of the electric field at x = -3 m is given by: -0.5 V/m -0.67 V/m 6 +0.67 V/m →x (meters) 8
- +Q +Q ves Bombes K +Q Q: +Q ta -a O a +29 A positive point charge +Q is located at x = -a. What is the electric potential energy of the system after an external agent bring in a second equal positive charge +Q from infinity to x = +a? (b) With the two equal point charges at x = -a and x = +a, what is the total electric potential energy of the system when an external agent brings in a third charge -Q from infinity to the origin? (c) By how much does the electric potential energy change when the charge -Q is moved from the origin to the point x = +2a along the semicircular path shown? Hint: how is the electric potential energy related to the electric potential?Two protons are located at (4.60, 0) m and (0, 3.80) m, respectively. Determine the following. (a) the electric potential at the origin v (b) the electric potential energy of a third proton located at the origin JAn electron moving parallel to the x axis has an initial speed of 5.18 x 106 m/s at the origin. Its speed is reduced to 1.68 x 105 m/s at the point x = 2.00 cm. (a) Calculate the electric potential difference between the origin and that point. Volts (b) Which point is at the higher potential? O the origin O the point x = 2.00 cm O both have the same potential
- Two protons are shown in the figure below separated by a distance of 1.00 nm. An electron is positioned 2.0 nm away from the midpoint between the protons. (Figure 1) Figure 1 of 1 > Electron 0.50 nm Protons 2.0 nm 0.50 nmIn the figure shown below, q = 2.0 x 10-9 C and d = 1.2 m. The electric potential at point P located at the center of the square is: -2.0q -3.0q d- d •P d d- -2.09 +5.0qThree point charges are individually brought from infinity and placed at the corners of a rectangle with a short side of 6.0 cm and a long side of 8.0 cm. Two charges are fixed to corners of one long side and the last charge is fixed to the corner along one short side. Each charge has the identical value Q = - 5.5 C. What is the electric potential energy of the system? O 1.8 × 10-4 J O OJ O 2.1 x 10-5 J O 1.9 x 10-5 J O 1.1 x 10-5 J
- A charged particle ( q = 8.0 mC), which moves in a region where the only force acting on the particle is an electric force, is released from rest at point A. At point B, the kinetic energy of the particle is equal to 6.4 J. What is the electric potential difference V B − V A?Two protons are located at (4.70, 0) m and (0, 2.90) m, respectively. Determine the following. (a) the electric potential at the origin V (b) the electric potential energy of a third proton located at the origin JCan you solve the question in the picture below?