A spherical shell of inner radius a = 5 cm and outer radiusb= 7 cm has a volume charge density p(r, O) =4/2rtr cos 0 c/m³. The potential energy of this configuration is Inner yadiws a=5 cm %3D Outer radius b=7 cm Volume charge density pcr,@),4 coso.clm3 Potential Energy %3D
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- We have a sphere with diameter (not radius!) d = 6 m and charge density profile Pc (r) = A², A = 6 * 10-8. The change in potential energy of a charge q=5 mC moved from a radius of r=2.3 m inside the sphere to the very edge of the sphere was found to be -25 J. Find the value of the constant w. 4 sig figs2r -e Physical constants (A) What is the radius of the orbit with n = 4? (B) What is the speed of the orbit with n = 4? The old Bohr model of the hydrogen atom was based on... (1) the assumption that the electron travels on a circle h = 6.626 x 10-34 Js; -28 (A) (in m) Bohr Model mv² r mvr = n and obeys Newton's second law, and (2) the hypothsis that angular momentum is quantized. For the Bohr model, Ke² = 2.307 x 107 Jm; 31 m9.11 x 10 kg. (B) (in m/s) Ke² 12. (1) (2) OA: 2.034x10-10 OB: 2.706x10-10OC: 3.598x10-10 OD: 4.786x10-10 OE: 6.365x10-10 OF: 8.466x10-10 OG: 1.126x109 OH: 1.497x109 OA: 8.533x104 OB: 1.237x105 OC: 1.794x105 OD: 2.601x105 OE: 3.772x105 OF: 5.470x105 OG: 7.931x105 OH: 1.150x106
- fig 5 Me= In Figure 5. the electron on the right side is fixed. and the one on the left side has initial velocity 10' m/s towards the first electron at the distance shown. Determine the final speed of the mobile electron when it is far away from the fixed one.Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of radius ry has charge -Q. The electric field E at a radial distance r from the central axis is given by the function: E = aer/a0 + B/r + bo where alpha (a), beta (8), an and bo are constants. Find an expression for its capacitance. First, let us derive the potential difference Vah between the two conductors. The potential difference is related to the electric field by: Vah = Edr= - Fdr Calculating the antiderivative or indefinite integral, Vab = (-aager/a0 +8 + bo By definition, the capacitance Cis related to the charge and potential difference by: C = Evaluating with the upper and lower limits of integration for Vab, then simplifying: C= Q/( (e"b/a0 .eralao) + B In( )+ bo ( ))Two neutral, square, thin copper plates (15 cm per side) are situated parallel to each other and located 6 mm apart. A 9V battery is connected to the plates, such that the anode is connected to one plate and the cathode to the other plate, and the battery and plates reach a new electrostatic equilibrium. What is the magnitude and direction of the electric field between the two plates? Two neutral, square, thin copper plates (15 cm per side) are situated parallel to each other and located 6 mm apart. A 9V potential difference is applied across the two plates. What is the electric potential at a distance of 2 mm away from the negatively charged plate (define the negative plate to be at zero potential)?
- 10. Metal tube of infinite length and square cross-section with sides 0 ≤x≤L, 0 ≤ y ≤ L has three of its sides at potential zero and the fourth (y=L) in potential U. It is requested to determine the potential at inside the tube. Assume that along the contact lines of between surfaces with different potential there is a thin insulating material.You have a sample of lithium metal that is electrically neutral. What is the approximate ratio of the mass of each positively charged particle in your lithium sample to each negatively charged particle in your lithium sample? O About 3:1 O About 14000:1 O About 7:1 O About 1000:1 O About 1.0e19:1 O About 1:1in milikan-type experiment, two horizontal parallel plates are 1.0 cm apart.A sphere of mass 2.2x1^-13kg remains stationary when the potential difference between the plates is 350V with the upper plate negative a) is the sphere positively or negatively charged b) calculate the magnitude of the Charge on the sphere what is the number of excess or deficit of electrons that the sphere has to three signifigant digits