A Potential of Vo= 5 coś²o-2 is specified on the surface of a sphere. Find the Potential outside and inside the surface.
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- The potential distribution in a dielectric material (& = 8) is V = 4x³yz² V. Find V, E, and P at point (2, –5, 3).A 9V battery is connected between an inner spherical conductor (R₁ = 10 cm) and a concentric conducting spherical shell (R2 = 30 c m, R3 = 35 cm,). The inner spherical conductor is positively charged (+Q) and the outer conducting spherical shell is negatively charged (-Q). Find the potential at a point, r, between the conductors where the electric potential of the outer conducting spherical shell is set to zero as the reference. O R₂ v(r) = v(r) = R₂ R₁ Q Απερ Q 4πε r 1 (1/1₂ - +) V(x) = R. 1 R Q Απε R 0 V (1) = - =-(- - - - -) Q 1 1 V(r) 4πε r RConsider a sphere of radius R, carrying a charge density p(r) = ar. The total charge of the sphere is a known value Q. (a) Calculate the constant a and the electric field (maanitude and direction) inside and outside the sphere, as a function of Q and R. (b) Calculate the potential in the origin, as a function of Q and R. (c) Suppose now that the charge Q is uniformly distributed on the surface of the same sphere. Calculate the difference of electrostatic energy between the final and initial configurations.
- Parl D Constants A cylindrical capacitor has an inner conductor of radius 2.8 mm and an outer conductor of radius 3.2 mm. The two conductors are separated by vacuum, and the entire capacitor is 2.5 m long. The potential of the inner conductor relative to that of the outer conductor is 320 mV. Find the charge (magnitude and sign) on the inner conductor. Express your answer with the appropriate units. μA ха Хь ماه a b X.10n ☑ Q1= 336 C Submit Previous Answers Request Answer × Incorrect; Try Again; 3 attempts remaining Check that you have converted between SI units of electric charge correctly. Part C The potential of the inner conductor relative to that of the outer conductor is 320 mV. Find the charge (magnitude and sign) on the outer conductor. Express your answer with the appropriate units. HA ? Q2 Value UnitsA cylindrical shell of radius R, and height his charged with charge that is uniformly distributed over it surface. To find the electric potential due to this shell at point Pa distance d from its right base we take, as an element, a thin ring that has a charge element: ut of dx Select one: O dq = o(2 TRdx) O dq = o(2 Trdr) O dq = p(TR?dx) dq = o(TR?dx) Two concentric conducting spherical shells of radii a and bare charged to a total charge Q. If the two shells are connected as shown. Which of the following is false? en 5 ete D out of REDMI NOTE 9 144 AI QUAD CAMERAThe potential at the surface of a sphere of radius R is given by V_0 = k cos(3θ), where k is a constant, and θ is the usual spherical coordinate. There is no charge inside or outside the sphere.(a) Find the potential inside and outside the sphere(b) Find the surface charge density σ(θ) on the sphere
- Find the potential a distance x along the perpendicular bisector of a line of charge with uniform charge density λ and length 2L. P P ←x->The electric potential in a region of uniform electric field is -1900 V at x = -1.18 m and +1900 V at x = +1.18 m. What is Ex (in V/m) ?The potential of the field inside a charged ball of radius R dependsonly from the distance to its center r according to the law φ=ar+b where a and b areconstants. Find: a) the electric field E inside the ball; b) bulk charge density ρ; charge of the ball Q.