An atomic nucleus has a net charge of +42e. What is the magnitude of the electric field (in nN/C) at a distance of 5.14 m from the center of the nucleus? nN/C B
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An atomic nucleus has a net charge of +42e. What is the magnitude of
the electric field (in nN/C) at a distance of 5.14 m from the center of
the nucleus?
nN/C"
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Charge
where e is the fundamental charge.
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- Y Part A A sphere has total charge Q=18 C and radius R. Letr be the radial distance measured from the center of the sphere. The sphere's charge is distributed in such a way that the volume charge density is proportional to the cube of r, that is p(r)=ar³ for some constant a. If the electric field magnitude is E = 39 N/C at r= R/2, what is E at r= 2R? k¹8.99 x 109 Nm²/C² 4700 Express your answer with the appropriate units. E = Submit Part B Submit Value ▾ Part C Value An infinitely long cylinder has uniform volume charge density and radius R. If the electric field magnitude is E = 39 N/C at r= R/2, what is E at r = 2R? r is the distance from the centeral axis of the cylinder. μà Submit HA Request Answer Value μA ← Request Answer Units C Units An infinitely big block of thickness 2R and uniform volume charge density extends infinitely in the z-y plane, and fills the region -R<<< R in the direction. If the electric field magnitude is E = 39 N/C at z = R/2, what is E at z = 22R? Sony ?…Determine the magnitude of the electric field at the surface of a lead-207 nucleus, which contains 82 protons and 125 neutrons. Assume the lead nucleus has a volume 207 times that of one proton and consider a proton to be a sphere of radius 1.20 ✕ 10-15 m. N/CA charge q = 2 µC is placed at the origin in a region where there is already a uniform electric field E= (100 N/C)i. Calculate the flux of the net electric field through a Gaussian sphere of radius R = 10 cm centered at the origin. A 2.26 x 10^5 Nm^2/C B 0.565 x 10^5 Nm^2/C 5.52 x 10^5 Nm^2/c D) 1.13 x 10^5 Nm^2/C
- E, Calculate the electric field at the top-right corner, as shown in E2 the figure, of a square 1.22 m on a side if the other three corners are occupied by 3.25 x 10-6 C charges Q1, Q2, Q3. E,A spherical shell of radius 1.70 m contains a single charged particle with q = 71.0 nC at its center. (a) What is the total electric flux through the surface of the shell? N. m²/c (b) What is the total electric flux through any hemispherical portion of the shell's surface? N. m²/ca. Problems 1-3 refer to the following diagram and situation. Three charges 9₁ 92 93 = +1.7 µC are placed on the corners of a equilateral triangle. The length of each side of the equilateral triangle is r = 0.15 m. Recall that μ = 1 x 10-6 and that each of the 3 angles in an equilateral triangle is 60°. 91 93 r r Problem 1: What is the net electric force on 91, due to q2 and 93? a. (1.0 N)ĵ b. (1.5 N)ĵ Problem 2: What is the net electric force on 92, due to 9₁ and 93? +(1.0N)î — (1.7N)Ĵ b. +(1.7N)î - (1.0N)ĵ r c. (2.0 N)Ĵ 92 Problem 3: What is the net electric force on 93, due to q₁ and 92? a. -(1.0N)î - (1.7N)ĵ b. -(1.7N)î - (1.0N)ĵ c. +(2.0N)î - (2.7N)Ĵ c. -(2.0N)î - (2.7N)ĵ d. (2.5 N)ĵ d. +(2.7N)î - (2.0N)Ĵ d. -(2.7N)î - (2.0N)ĵ
- A spherical shell of radius 1.80 m contains a single charged particle with q = 70.0 nC at its center. (a) What is the total electric flux through the surface of the shell? N. m?/C (b) What is the total electric flux through any hemispherical portion of the shell's surface? N. m2/cTwo uniform spherical charge distributions (see figure below) each have a total charge of 31.8 mC and radius R = 15.2 cm. Their center-to-center distance is 37.50 cm. Find the magnitude of the electric field at point B, 7.50 cm from the center of one sphere and 30.0 cm from the center of the other sphere. N/C R = 15.2 cm -37.50 cm 30.0 cm- R = 15.2 cm B 7.5 cmAns: 651
- A solid rod 2.54 cm in diameter and 1.50 m long carries a uniform volume charge density. The electric field inside the rod, halfway between its axis and its surface but not near either end, has magnitude 681 kN/C and points radially outward. a. Find the rod’s total charge. b. Find the electric field at the surface of the rod.IA shere of radius R = 0.35 m has a volume charge distribution described by: ρ(r) = ρ0 (1− r/R) for r ≤ R, where ρ0 = 18.5 μC/m3. a. What is the total charge on the sphere? b. What is the strength of the electric field produced by the charge distribution at a distance 0.21 m from the center of the sphere? c. What is the strength of the electric field produced by the charge distribution at a distance 0.4025 m from the center of the sphere? d. Graph the electric field as a function of r between r = 0 and r =0.4025 m.