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- A -2.87 µC charge is placed at the center of a conducting spherical shell, and a total charge of +8.70 µC is placed on the shell itself. Calculate the total charge on the outer surface of the conductor.A cylinder of length L=5m has a radius R=2 cm and linear charge density 2=300 µC/m. Although the linear charge density is a constant through the cylinder, the charge density within the cylinder changes with r. Within the cylinder, the charge density of the cylinder varies with radius as a function p( r) =p.r/R. Here R is the radius of the cylinder and R=2 cm and p, is just a constant that you need to determine. b. Find the constant po in terms of R and 2. Then plug in values of R and 1. to find the value for the constant p. c. Assuming that L>>R, use Gauss's law to find out the electric field E inside the cylinder (rR) in terms of 1. and R. d. Based on your result from problem c, find the electric field E at r=1cm and r=4cm.a. A thin line charge, infinite in both directions, has a charge density per unit length of 2.00 µC/m. What is the electric field strength a distance 0.50 meters from the e. (axioc) 3.8 X104 RTT( 8.85x1018) cokec tion: ヤート D. A -5.00 µC charge is 0.50 meters from the line charge mentioned in part a. What is the electrostatic force on this charge? Is this force directed toward or away from the line charge? Fこ EG -(3.8x104) (-5x16-6) - 0.19 remains can- the kin anetic A large flat insulating membrane has a uniform chargeo of +12.0 µC/m². What is the electric field strength above the charged surface? с. (こ マメIC6 つ1Xと =2 2(8.85x1019) 5.31 X107 w ould double Cth d. Suppose a +4.00 µC charge and a +7.00 µC charge are separated by 3.00 meters. How far from the +4.00 µC charge does the electric field vanish? What the the magnitude of the force on a test charge is it is placed at this point? Enew, 72F ベ-8 (7x100) RF F=(4X10
- 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.H A very long line of a thin conducting wire produces a radial outward electric field of magnitude 2.24 kN/C at a radial distance of 45.1 cm. How much charge (in nC) is contained in a 5.52-m long length of this wire?A cylindrical shell of length l and inner radius a and outer radius b carries a volume charge density given by ρ(r) = α/r where r is the distance to the axis of the shell and α a positive constant. Determine the total charge carried by the shell.
- A very long, uniformly charged cylinder has radius R and linear charge density λ. a. Find the cylinder's electric field strength outside the cylinder, r≥R. Give your answer as a multiple of λ/ε0. Express your answer in terms of some or all of the variables R, r, and the constant π. b. Find the cylinder's electric field strength inside the cylinder, r≤R. Give your answer as a multiple of λ/ε0. Express your answer in terms of some or all of the variables R, r, and the constant π.A 5 cm radius ball is charged to 190 nC. The charge is uniformly distributed throughout the volume of the ball. a. What is the charge density for this ball? ANS. 3.628733×10-4 C/m^3 b. How much charge is enclosed by a sphere of radius 1 cm concentric with the ball??