Q2 Given the Potential field cylindreical coordinates: V= V=7 Pcos & volt 30 7² +2 and Point (P) at (P= 3 m, Ø = 20°, Z=5m). at Point (P) Find the values of : a) V b) E, c)D, d) Av (all in free space) +
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- Q3) Given the potential field in cylindrical coordinates, V = p(z+ 1) cos Ø V and point P at p = 3 m. 0 = 60°, z = 2 m, find values at P for (i) V; (ii) E: (ii) P, in free space.صورة من ???Q2) Given the potential field, V x2y2 - 5z volt, and a point P(2,3, 4), find at point P: the potential, the electric field intensity, the electrice flux density D, and the volume charge density pp.
- wire Two undharged conducting spheres of radius r, and r, = 2m are placed long enough apart and connected by a wire. The sphere of radius r, is under the electron rain only. Electrons move towards the sphere of radius r,, with the velocity ve = 100m/s. Find the maximum charge that can be found on the sphere of radius r2. me = 9,11x10-31kg, 9x10° () 9. = 1,6x10-1ºC, ke = a) 6,33x10-18C b) 2,53x10-17C c) 5,69x10-17C d) 1,01x10-1°C e) 1,58x10-16CQuestion 3. Using the general expression V(r,0) = Eo (A,r +) P.(cos0) for the potential at a %3D distance r from the center of a sphere shell of radius R. The acceptable expressions for potentials inside and outside the shell are: V(r,e) E, A,r' P;(cos®) (rSR) and V (r,0) = Eo P.(cose) (r2 R) %3D A constant charge density oo is ghed over the surface of the shell Determine the potential inside and outside the shell for this charge distributionA charged conducting spherical shell of radius R = 3 m with total charge q = 23 μC produces the electric field given by E⃗ (r)={014πϵ0qr2r̂ forforr<Rr>R(PICTURE ATTACHED OF EQUATION) a. Enter an expression for the electric potential inside the sphere ( r < R ) in terms of the given quantities, assuming the potential is zero at infinity. V(r)= b. Calculate the electric potential, in volts, at radius r inside the charged shell. V(r) =
- 5) The electric potential of a solid insulating sphere of radius R with electric charge Q is described by the equations; V (r) : KQ for r> R, V(R) KQ for r= R, r and, V (r) = KQ for rjust cA charge Q field E and the electrostatic potential at rı 10-10C is uniformly distributed on a sphere of radius R= 10cm. What is the valued of the electric R. , r2 = R, r3 = 2R from the center of the sphere?Find the potential at point P₂ in the diagram due to the two given charges. + +5 mC 4 cm- P₁ T 3 cm 2 cm 3 cm O a. 900MV O b. 0.8GV O C. -900MV O d. -4GV P3 4 cm- m 2 cm P2₂ -10 MC ←1. (a)Consider a sphere of radius a, with a uniform charge density of unity. Calculate the total charge contained by this sphere. (b) Consider now the case of non-uniform distribution of charge with a density functional form p (r)= K (3-r/a?) for the same sphere. Evaluate the constant K 2. (a) Let an electric potential V be independent of x and z, and the gradient of V = 10 y in y- direction. If V = 5 at y = 0, then find V in terms of y. (b) Find the electric field in a region where the plectric potential V = -5 xvB7SEE MORE QUESTIONS