The Potential is given by V(x,y)=5∗x2y5. Find the Electric field x component y component
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The Potential is given by V(x,y)=5∗x2y5. Find the Electric field
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- A long cylinder of radius 2 cm carries a charge of 5 µC / m2 kept in a medium of dielectric constant 50. Find the electric field intensity at a point situated at a distance 1 m from the axis of cylinder.Can someone please do this task step by step.Find the electric field (magnitude and direction) a distance z above the midpoint between twoequal charges q, a distance d apart (Fig. 6).A ring of radius R=2.4 cm in radius contains a uniform distribution of charges, and the field The resulting electrical E is measured along the central axis of the ring (perpendicular to the plane of the ring). How far from the center of the ring is the field maximum?
- For a certain dielectric material if electric displacement D is 6.36 C/m2. Find the electric field vector if the medium is having a dielectric constant 12.The space a ≤ r ≤ c < b between cylindrical capacitors of length L, radius a,b and is filled with a dielectric constant K, and the remaining space is vacuum. The potential difference between the capacitor plates is V. (a) Find the electric capacitance. (b) Find the electric field E, electric displacement D, and polarization P in c < r < bWhen you polarize a neutral dielectric, charge moves a bit, but the total charge remains zero. This fact should be reflected in the bound charges σ and ρ. Prove from σb = P. n and Pb = −√. P that the total bound charge vanishes.
- A ring and a disk both are centered at (0, 6, 3) and are both lying on the plane y = 6. The ring has a radius of 7 m, while the disk has a radius of 9 m, so that the ring is around the disk. Determine the magnitude of the electric field in kV/m at point (0, -9, 3) if the ring has a total charge of -8 mC and the disk has a total charge of 6 mC. All coordinates are measured in meters.A ring and a disk both are centered at (-4, 5, 8) and are both lying on the plane y = 5. The ring has a radius of 8 m, while the disk has a radius of 8 m, so that the ring is around the disk. Determine the magnitude of the electric field in kV/m at point (-4, -8, 8) if the ring has a total charge of -7 mC and the disk has a total charge of 8 mC. All coordinates are measured in meters.Ra1 +9 -9 Rea Consider two concentric spherical conductors, separated by an isolating material with (absolute) permittivity e. The two conductors have radius R1 and R2, they are put on a potential V and V2, which leads to a charge +q and –q sitting on them, respectively. By the problem's spherical symmetry, we see that the charge on each conductor is distributed uniformly, and that, in spherical coordinates, the electric field between the two conductors is of the form E(r) = -E(r) er. Determine the capacity C using the following steps: 1. Use Gauss's Law in integral form, with N a ball of radius r (R2 < r < R1), to find an expression for E(r) in terms of q. 2. Calculate AV = Vị – V2 using the formula - E•dr Δν and with C the black line segment indicated on the drawing (parallel with e,). 3. The capacity now follows from C = q/AV.
- The displacement vector is D = 3 â+4 ay+7 a, in the region y>3 with the dielectric constant e = 2. The electric field is E = Ka, + La, + Ma, for the region y<3 with the dielectric constant e = 10, then K+L+M=? %3DThe electric field in a region is radially outward with mag- nitude E = ar. Calculate the charge contained in a sphere of radius R centered at the origin. Calculate the value of charge if a = 100 V/m2 and R = 0.30 m. R Fig. 2.60 drConsider a right triangle ABC with the right triangle at vertex B. The charges at A, at B, and at C, are known to be 5 mC, 4 mC, and 7 mC, respectively. Given that the side AB is numerically equal to the last two digits of your student number, in meters, and AC is thrice AB, find the magnitudes of the force and of the electric field at A. When AB = 12