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Quizzes 3. A cube with 1.40 m edges is oriented as shown in the figure. Suppose the cube sits in a uniform electric field of 10 i ? What is the magnitude of the flux through the whole cube? What is the magnitude of the flux through the top side? How many sides have nonzero flux?.
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Quizzes 3 A cube with 1.40 m edges is oriented as shown in the figure • Suppose the cube sits in a uniform electric field of 10i ? • What is the magnitude of the flux through the whole cube? • What is the magnitude of the flux through the top side? • How many sides have nonzero flux? • q/eo D) q/6eo • q/4eo • 0 • 2 D) 1 • 4 • 0
Applying Gauss’s Law Charge in a long triangular channel What is flux out of one side? charge q • Can be used to determine total flux through a surface in simple cases • Must have a great deal of symmetry to use easily
Applying Gauss’s Law r • Draw a cylinder with the desired radius inside the cylindrical charge L R • Infinite cylinder radius R charge density • What is the electric field inside and outside the cylinder? • Electric Field will point directly out from the axis • No flux through end surfaces
Applying Gauss’s Law r • Draw a cylinder with the desired radius outside the cylindrical charge L R • Infinite cylinder radius R charge density • What is the electric field inside and outside the cylinder? • Electric Field will point directly out from the center • No flux through endcaps
Applying Gauss’s Law r • Draw a Gaussian surface inside the sphere of radius r Sphere volume: V = 4a3/3 Sphere area: A = 4a2 R • Sphere radius R charge density . What is E-field inside? • What is the magnitude of the electric field inside the sphere at radius r? • R3/30r2 • r2/30R • C) R/30 D) r/30
Conductors in Equilbirum • A conductor has charges that can move freely • In equilibrium the charges are not moving • Therefore, there are no electric fields in a conductor in equilibrium = 0 = 0 • The interior of a conductor never has any charge in it • Charge on a conductor is always on the surface
Electric Fields near Conductors • Add a gaussian pillbox that penetrates the surface Area A Surface charge • No electric field inside the conductor • Electric field outside cannot be tangential – must be perpendicular • Electric field points directly out from (or in to) conductor
Conductors shield charges • Draw a Gaussian surface • No electric field – no charge • Inner charge is hidden – except Charge -q Charge +q No net charge • What is electric field outside the spherical conductor? Charge q • Charge +q on outside to compensate • Charge distributed uniformly