Over a certain region of space, the electric potential is V = 4x – 1x2y + 2yz2. (a) Find the expressions for the x, y, z components of the electric field over this region. (Use any variable or symbol stated above as necessary.) Ex = Ey = E, = (b) What is the magnitude of the field at the point P that has coordinates (1.00, 0, -8.00) m? N/C
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- Figures in Fig. 1 above illustrate the electric field and potential as a function of distance from the surface of a charged conducting sphere. What is the main difference between electric field and electric potential for a solid charged conducting sphere?The charge density on a disk of radius R = 11.6 cm is given by o = ar, with a = 1.46 μC/m³ and r measured radially outward from the origin (see figure below). What is the electric potential at point A, a distance of 44.0 cm above the disk? Hint: You will need to integrate the nonuniform charge density to find the electric potential. You will find a table of integrals helpful for performing the integration. V R AWhat is the potential difference V(r) – V(0) for r < a (i.e., where r is inside the insulating sphere, and V(0) is the potential at the origin)?
- Consider a parallel plate capacitor as shown in the figure. A proton is placed near the positive plate and let go from rest. Sketch the electric field lines of the parallel plate capacitor and the variation of the following parameters as a function of position x inside of the capacitor: Electric potential produced by the capacitor (V), Potential Energy of the proton(U), Total Energy of the proton (Etot), and Kinetic Energy of the proton (K). -Q V U Ett Figure 1Needs Complete typed solution with 100 % accuracy.Please asap
- Next to the locations A, B, C, D, E, F, and G is the electric potential at that spot В measured with respect to the location A. (8 v) Below are described different amounts of charge, positive and negative, that are G (-3v) moved from one location to another. The potential at each location is held constant A (o v) at the values in the figure. Find the net change in the electric potential energy for D (10 v) each amount of charge listed. F E Answer Bank OJ -1 J 1 J -2 J 2 J -3 J 3 J -4 J 4 J -5 J 5 J -6 J 6 J -7 J 7 J -8 J 8 J -9 J 9 J -10 J 10 J -13 J 13 J -16 J 16 J +1 coulomb moved from A to B: -1 coulomb moved from B to C: +2 coulombs moved from D to C: -2 coulombs moved from G to A: +1 coulomb moved from E to G: -4 coulombs moved from E to F: +3 coulombs moved from B to F: -3 coulombs moved from A to G: +2 coulombs moved from C to A to E: -1 coulomb moved from B to G to F:The charge density on a disk of radius R = 11.2 cm is given by o = ar, with a = 1.30 μC/m³ and r measured radially outward from the origin (see figure below). What is the electric potential at point A, a distance of 30.0 cm above the disk? Hint: You will need to integrate the nonuniform charge density to find the electric potential. You will find a table of integrals helpful for performing the integration. R A AANSWER 1 AND 5 ONLY