P4. Consider a long cylindrical charge distribution of radius R with a uniform charge density p. Calculate the magnitude of the electric field at a distance R/2 from the axis.
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- The electric field everywhere on the surface of a thin, spherical shell of radius 0.735 m is of magnitude 927 N/C and points radially toward the center of the sphere. What is the net charge within the sphere's surface? nCinfinitely long cylinder has a cylindrical hole in the middle. The inner radius of the cylinder is R1 and the outer radius of the cylinder is R2. The volume charge density, p, is distributed evenly throughout the volume. Find the magnitude of the electric field at distance r from the central axis for the cases when r R2. R4. A point charge q=+15.0µC is located at the origin. A hollow spherical conductor of inner radius a=0.0500 m and outer radius b=0.0950 m is concentric with the point charge, and has a net charge Q= -20.0µC. Using Gauss's law, derive the equation for the magnitude of the electric field as a function of r. a
- There are two concentric cylinders with R1= 0.0056 m and R2= 8R1 with a length of 6.1m. The internal cylinder charge is q=2.7nC and uniformly distributed, the external one is -3q also uniformly distributed. How much is the electric field at r= 4.4R1. Express your answer in N/A to three significant figures.4. A continuous line charge is in the shape of a circle with radius R and constant linear charge density A. Find the electric field a height h over the center of the circle Rd Circular 3. Space vehicles traveling through Earth's radiation belts can intercept a significant number of electrons. The resulting charge buildup can damage electronic components and disrupt operations. Suppose a spherical metal satellite 1.3 m in diameter accumulates 2.4 μC of charge in one orbital revolution. (a) Find the resulting surface charge density. (b) Calculate the magnitude of the electric field just outside the surface of the satellite, due to the surface charge.