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3.5 Magnetostatics

Irodov Problems 3.219 to 3.287.

  • 69problems
  • 165figures
  • Difficulty2.4avgDifficulty: 4 rated 1, 38 rated 2, 25 rated 3, 2 rated 4, 0 rated 5; mean 2.4.
  • Uniqueness3.0avgUniqueness: 0 rated 1, 18 rated 2, 32 rated 3, 18 rated 4, 1 rated 5; mean 3.0.
No.TitleDifficultyUniquenessMethods
3.219Every Element Pushes Along the AxisDifficulty 1 of 5Uniqueness 2 of 5biot savart · symmetry · superposition
3.220A Polygon Closing In on a CircleDifficulty 2 of 5Uniqueness 2 of 5biot savart · superposition · limiting cases
3.221Diagonals Set the Frame's FieldDifficulty 2 of 5Uniqueness 2 of 5biot savart · superposition
3.222Arc and Chord Pull TogetherDifficulty 2 of 5Uniqueness 2 of 5biot savart · superposition
3.223Radial Wires Add Nothing at the CenterDifficulty 2 of 5Uniqueness 2 of 5biot savart · superposition
3.224The Field of a Missing StripDifficulty 3 of 5Uniqueness 4 of 5superposition · ampere law · symmetry
3.225Half a Tube, Field Along Its EdgesDifficulty 2 of 5Uniqueness 3 of 5superposition · ampere law · symmetry
3.226Arcs, Tangents and Radial LeadsDifficulty 2 of 5Uniqueness 3 of 5biot savart · superposition
3.227Two Half Wires at Right AnglesDifficulty 2 of 5Uniqueness 3 of 5biot savart · superposition · vector decomposition
3.228Arc and Wire Fields Add at Right AnglesDifficulty 3 of 5Uniqueness 3 of 5biot savart · superposition · vector decomposition · kirchhoff rules
3.229A Current Sheet Halves Its JumpDifficulty 2 of 5Uniqueness 2 of 5ampere law · symmetry · superposition
3.230Field Grows Inside, Then Levels OffDifficulty 2 of 5Uniqueness 2 of 5ampere law · symmetry
3.231The Plane Shields Its Underside CompletelyDifficulty 3 of 5Uniqueness 4 of 5ampere law · symmetry
3.232An Open Line That Acts ClosedDifficulty 3 of 5Uniqueness 4 of 5biot savart · ampere law · magnetic dipole
3.233Inside a Wire, B Is Half j Cross rDifficulty 2 of 5Uniqueness 2 of 5ampere law · current density · symmetry
3.234A Hole Holds a Uniform FieldDifficulty 3 of 5Uniqueness 4 of 5ampere law · superposition · current density
3.235Reading the Current Off the FieldDifficulty 2 of 5Uniqueness 3 of 5ampere law · current density · symmetry
3.236A Short Coil Falls ShortDifficulty 2 of 5Uniqueness 2 of 5biot savart · superposition · limiting cases
3.237Half the Field at the MouthDifficulty 3 of 5Uniqueness 3 of 5biot savart · superposition · approximation expansion
3.238A Strip Is Also a WireDifficulty 4 of 5Uniqueness 4 of 5ampere law · symmetry · superposition
3.239The Winding Is One Turn TooDifficulty 3 of 5Uniqueness 4 of 5ampere law · biot savart · symmetry
3.240A Flux That Ignores the RadiusDifficulty 2 of 5Uniqueness 3 of 5ampere law · symmetry
3.241Half the Flux Leaves Before the EndDifficulty 3 of 5Uniqueness 4 of 5symmetry · superposition · ampere law
3.242A Logarithm from a RectangleDifficulty 2 of 5Uniqueness 2 of 5ampere law · symmetry
3.243Weighing a Loop by Its CentreDifficulty 1 of 5Uniqueness 2 of 5biot savart · magnetic dipole
3.244Turn Moments Add Along the ChordDifficulty 3 of 5Uniqueness 4 of 5magnetic dipole · vector decomposition · symmetry
3.245A Spiral Is a Stack of RingsDifficulty 3 of 5Uniqueness 3 of 5biot savart · magnetic dipole · superposition
3.246Spinning Charge Becomes Ring CurrentsDifficulty 2 of 5Uniqueness 3 of 5biot savart · magnetic dipole · superposition
3.247Every Latitude Adds to the CenterDifficulty 2 of 5Uniqueness 2 of 5biot savart · superposition · symmetry
3.248Charge Follows Mass, Ratio FollowsDifficulty 2 of 5Uniqueness 3 of 5magnetic dipole · angular momentum · moment of inertia
3.249Two Opposite Currents Cancel at CenterDifficulty 3 of 5Uniqueness 4 of 5dielectric polarization · ampere law · symmetry
3.250Magnetism as a Small CorrectionDifficulty 1 of 5Uniqueness 3 of 5biot savart · lorentz force · coulomb law
3.251The Rest of the Wire PushesDifficulty 2 of 5Uniqueness 3 of 5biot savart · ampere force · superposition
3.252The Field That Bursts a CoilDifficulty 2 of 5Uniqueness 3 of 5ampere force · stress strain · free body
3.253One Side Turns, Three Sides WeighDifficulty 2 of 5Uniqueness 3 of 5ampere force · torque · free body
3.254A Couple Weighed on a BalanceDifficulty 2 of 5Uniqueness 3 of 5magnetic dipole · torque
3.255Only the Two Parallel Sides CountDifficulty 3 of 5Uniqueness 3 of 5ampere force · ampere law · work energy
3.256Matched Load, No Force Between WiresDifficulty 3 of 5Uniqueness 5 of 5ampere force · capacitance · electrostatic force · gauss law
3.257A Wire on a Half Cylinder's AxisDifficulty 3 of 5Uniqueness 3 of 5ampere force · superposition · symmetry
3.258A Strip Pulled as Many FilamentsDifficulty 2 of 5Uniqueness 2 of 5ampere force · superposition
3.259Field Lines Push Like a GasDifficulty 2 of 5Uniqueness 4 of 5ampere law · ampere force · magnetic energy
3.260Pressure and Shear on a Current SheetDifficulty 4 of 5Uniqueness 4 of 5ampere law · ampere force · vector decomposition
3.261A Pump with No Moving PartsDifficulty 1 of 5Uniqueness 3 of 5ampere force · hydrostatics
3.262Half the Jump Pushes the WallDifficulty 3 of 5Uniqueness 3 of 5ampere law · ampere force · superposition
3.263The Field Inside Pushes the Winding OutDifficulty 2 of 5Uniqueness 2 of 5ampere law · ampere force · magnetic energy
3.264A Solenoid Bursts Like a BoilerDifficulty 3 of 5Uniqueness 3 of 5ampere force · ampere law · free body
3.265A Generator with No Moving PartsDifficulty 2 of 5Uniqueness 4 of 5lorentz force · motional emf · max power transfer
3.266A Wire's Own Field Makes a Hall VoltageDifficulty 3 of 5Uniqueness 4 of 5ampere law · lorentz force · current density
3.267One Free Electron per Sodium AtomDifficulty 2 of 5Uniqueness 2 of 5lorentz force · current density · conduction mechanisms
3.268The Hall Angle Measures the MobilityDifficulty 2 of 5Uniqueness 3 of 5lorentz force · conduction mechanisms
3.269A Small Loop Feels the GradientDifficulty 3 of 5Uniqueness 3 of 5magnetic dipole · ampere law · vector decomposition
3.270A Small Coil Pulled Along an AxisDifficulty 2 of 5Uniqueness 3 of 5magnetic dipole · biot savart · potential energy
3.271Two Coaxial DipolesDifficulty 2 of 5Uniqueness 2 of 5magnetic dipole · approximation expansion
3.272A Magnet Is a Ring CurrentDifficulty 2 of 5Uniqueness 3 of 5magnetic materials · biot savart · approximation expansion
3.273Normal B, Tangential H Carry AcrossDifficulty 2 of 5Uniqueness 2 of 5magnetic materials · ampere law · vector decomposition
3.274Where H Has Sources and B CirculatesDifficulty 3 of 5Uniqueness 4 of 5magnetic materials · ampere law · gauss law
3.275Molecular Currents That Cancel OutsideDifficulty 2 of 5Uniqueness 3 of 5magnetic materials · ampere law · symmetry
3.276B Flows On, H Steps DownDifficulty 3 of 5Uniqueness 4 of 5magnetic materials · ampere law · approximation expansion
3.277One Field Shared by Two MediaDifficulty 2 of 5Uniqueness 3 of 5ampere law · magnetic materials · symmetry
3.278A Loop Lying on a MagnetDifficulty 3 of 5Uniqueness 4 of 5magnetic materials · ampere law · symmetry
3.279A Magnetic Ball Gathers the FieldDifficulty 2 of 5Uniqueness 3 of 5magnetic materials · superposition
3.280A Winding That Silences a MagnetDifficulty 2 of 5Uniqueness 3 of 5magnetic materials · ampere law
3.281Inside a Magnet, H Runs BackwardDifficulty 2 of 5Uniqueness 3 of 5magnetic materials · ampere law
3.282A Millimeter Gap Takes the LeadDifficulty 3 of 5Uniqueness 3 of 5ampere law · magnetic materials
3.283Iron Is Most Permeable at the KneeDifficulty 2 of 5Uniqueness 3 of 5magnetic materials · optimization
3.284A Load Line Meets the IronDifficulty 3 of 5Uniqueness 4 of 5magnetic materials · ampere law
3.285The Coil Pulls a Paramagnetic RodDifficulty 3 of 5Uniqueness 4 of 5magnetic materials · magnetic dipole · magnetic energy
3.286Weighing a Ball's Pull to a PoleDifficulty 3 of 5Uniqueness 3 of 5magnetic materials · magnetic dipole · optimization
3.287Work to Pull a Ball from a FieldDifficulty 2 of 5Uniqueness 2 of 5magnetic materials · work energy · magnetic energy