A wire with a negligible diameter is coaxial with a very thin cylindrical shell of radius R=4.79cm. Both are composed of an insulating material, and for practical purposes, they are infinitely long. The wire has a uniform linear charge density, λ1=−112pC/m, and the cylinder has a linear charge density, λ2=+531pC/m, that is uniformly distributed around its circumference. a. If r is the distance from the wire, then what is the magnitude, in newtons per coulomb, of the electric field at r=3.08cm. b. If r is the distance from the wire, then what is the magnitude, in newtons per coulomb, of the electric field at r=8.81cm.

Determine the magnitude of the electric field at any point P a distance x from a very long line (a wire, say) of uniformly distributed charge. Assume x is much smaller than the length of the wire L, and let A be the charge per unit length (C/m). Z

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

Suppose a speck of dust in an electrostatic precipitator has 1.0000×1012 protons in it and has a net charge of –5.00 nC (a very large charge for a small speck). a. Find the electric charge due to the protons in the dust. Calculate the charge due to only the protons.