Derive the Flux Density (D) for Uniformly Charged Sphere by applying Gauss's Law.
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Derive the Flux Density (D) for Uniformly Charged Sphere by applying Gauss's Law.
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- Gaussian surfaces A and B enclose the same positive point charge. The area of surface A is two times larger than that of surface B. How does the total electric flux through the two surfaces compare?Use Gauss’s law to find the electric field a distance sfrom an infinitely long straight wire, which carries a uniform linear charge density λ.Use Gauss’s law to find the electric field inside a uniformly charged solid sphere (charge density ρ).
- Find the electric field vector anywhere in the plane of a dipole. Let the charge value on one charge be q. Let them be separated by d. Let the origin be in between them. And say they are each on the y axis.A conducting sphere of 3.0 cm radius has a cavity of 2.0 cm radius and sharing the samecenter. First,– 10 nC of charge is dropped on the sphere. Then a + 8.0 nC point charge isintroduced at the center of the cavity. a) How much charge is at the inside surface of the sphere, after the point charge wasplaced at the center? Justify your answer using Gauss’ Law. b) How much charge is at the outer surface of the sphere, after the point charge wasplaced at the center? Justify your answer. c) Calculate and show the direction of the net electric field at 1.0 cm, and at 4.0 cmfrom the center, after the point charge was placed at the center.using Gauss’s Law please find the electric field due to an infinite line of charge with constant charge density λ Coloumbs per metre. Also why it is important that the line of charge is infinite?
- Positive Charge Q for x<0 and negative charge -2Q for x>0 is uniformaly distributed around a semi-circle of raduis R as shown in the figure. Find the x-component of the the electric field at the center of curvature.Gaussian surface 1 has twice the area of Gaussian surface 2. Both surfaces enclose the same charge Q. Is the electric flux through surface 1 greater than, less than, or the same as the electric flux through surface 2?