REVIEW SUMMARY Gauss Law Gauss’ Law Gauss’ law and Coulomb’s law although expressed in different forms are equivalent ways of describing the relation between charge and electric field in static situations Gauss’ law is in which is the net charge inside an imaginary closed surface (a Gaussian surface) and is the net Hux of the electric field through the surface …
Additional Problem The chocolate crush mystery. Explosions ignited electrostatics discharges (sparks) constitute a serious danger in facilities handling grain or powder. Such an explosion occurred in chocolate crumb powder at a biscuit factory in the 1970s. At the factor workers usually emptied newly delivered sacks of the powder into a loading bin, from which it was blown th ‘ugh grounded …
Problem Gauss Law A spherically symmetrical but nonuniform volume distribution of charge produces an electric field of magnitude E = K,.4. directed radially outward from the center of the sphere Here r is the radial distance from that center and K is a constant What is the volume density p of the charge distribution.
Gauss’ Law of the surface as shown in Ignore fringing of the field lines around all edges and calculate the electric field at point P a distance z from the center of the hole along its axis Hint See and use superposition. small, nonconducting ball of mass m = 1.0 mg and charge q = 2.0 X 10-8 …
Applying Gauss’ Law: Planar Symmetry shows cross-sections through two large parallel nonconducting sheets with identical distribution, of positive charge with surface charge density What IS f at points (a) above the sheets. (b) between them and (c) below them A square metal plate of edge length 8.0 cm and negligible thickness has a total charge of 6.0 X 1O C. (a) Estimate the magnitude …
Applying Gauss’ law Cylindrical Symmetry The drum of the photocopying machine in Exercise has a length of 42 cm and a diameter of 12 cm What is the total charge on the drum (b) The manufacturer wishes to produce a desktop version of the machine This require reducing the size of the drum to a length of 28 cm …
A Charged Isolated Conductor The electric field just above e the surface of the charged drum of a photocopy churner has a magnitude E What i the surface charge density on the drum. assuming that the drum is a conductor A uniformly charged conducting sphere of 1.1 m diameter has a surface charge density of …
Gauss’ law 4E You have four point charges T q and -2q If possible describe how you would place a closed surface that encloses at least the charge 2q (and perhaps other charges) and through whichb the net electric flux is (a) O. (b) -r- 3qlEu’ and (c) -2qIE 5E A point charge of 1.8 p.C is at the …
Flux of an Electric Field The squire surface <how n In on each It i, impugner in a uniform electric field magnitude E = I XOO field line make an angle of 35° with a normal to the surface as ho n Take that normal 10 be directed outward as though the surface were one face of a box. Calculate the electric flux through the …
Gauss’ Law waters density (.1000 kg/m ‘) and its volume flux through that surface Find the mass flux through the following imaginary surfaces (a) a surface of area enuresis in the water perpendicular to the flow (b) a surface with area of which is in the water perpendicular 10 the flow (c) a surface of area entirely in the water …