A coaxial cable is an electrical cable that has an inner conductor surrounded by an insulating layer, and then surrounded again by a conducting shield. Consider an infinitely long cable illustrated below that carries a charge of ₁ = 5 nC/m on its inner conductor, while the outer conducting shield in uncharged. a.) Find the charge density on the inside and outside surface of the conducting shield. b.) Find an expression for the electric field for all r. 5 cm CH 4 cm

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

infinitely 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. R

The electric flux through a spherical Gaussian surface of radius r=20.0cm, with a uniformly charged, spherical conducting shell at its center, is ΦE =−2.30 × 104 N·m2/C. T c. How many excess electrons or protons does this sphere contain? d. f the conductor has a radius of R = 10.0 cm, what is its surface charge density? e. What is the electric field strength at the surface of the conductor?