3.6 Induction & Maxwell's Equations
Irodov Problems 3.288 to 3.371.
- 84problems
- 159figures
- Difficulty2.3avgDifficulty: 7 rated 1, 46 rated 2, 27 rated 3, 4 rated 4, 0 rated 5; mean 2.3.
- Uniqueness3.0avgUniqueness: 2 rated 1, 21 rated 2, 35 rated 3, 24 rated 4, 2 rated 5; mean 3.0.
| No. | Title | Difficulty | Uniqueness | Methods |
|---|---|---|---|---|
| 3.288 | A Chord Climbing a Parabola | motional emf · faraday law · calculus of motion | ||
| 3.289 | Two End Resistors Share One Source | motional emf · kirchhoff rules | ||
| 3.290 | Inertia Against the Lorentz Force | lorentz force · motional emf · circular motion · electric potential | ||
| 3.291 | Only the Far End Matters | lorentz force · motional emf · electric potential | ||
| 3.292 | Half Disc Turning Through the Edge | faraday law · kinematic graphs · calculus of motion | ||
| 3.293 | A Connector Running into Weaker Field | motional emf · ampere law · faraday law | ||
| 3.294 | Two Sides in Unequal Fields | faraday law · ampere law · motional emf | ||
| 3.295 | Steering a Rod Against Gravity | motional emf · torque · ampere force · kirchhoff rules | ||
| 3.296 | Gravity Against the Magnetic Brake | motional emf · ampere force · newton second law · energy conservation | ||
| 3.297 | A Capacitor Adds to the Mass | motional emf · capacitance · newton second law · ampere force | ||
| 3.298 | Half a Loop Makes an Alternator | faraday law · joule heating | ||
| 3.299 | Charge Counts the Flux Change | faraday law · self inductance | ||
| 3.300 | Inductance Drops Out of the Charge | faraday law · self inductance · ampere law | ||
| 3.301 | A Connector in a Graded Field | motional emf · ampere force · ampere law | ||
| 3.302 | A Brake Proportional to Speed | motional emf · ampere force · differential equation · energy conservation | ||
| 3.303 | Pulled Toward a Terminal Speed | motional emf · ampere force · differential equation | ||
| 3.304 | Which Way Round Each Loop | faraday law · kirchhoff rules · symmetry | ||
| 3.305 | Two Squares Pulling Against Each Other | faraday law · superposition | ||
| 3.306 | Inner Turns Count for Less | faraday law · superposition | ||
| 3.307 | Growing Field Meets Growing Area | faraday law · motional emf | ||
| 3.308 | Eddy Field Beyond the Winding | faraday law · symmetry · limiting cases | ||
| 3.309 | A Copper Turn Round a Solenoid | faraday law · resistance integration | ||
| 3.310 | Charges Fix an Unequal Ring | faraday law · local ohm law · symmetry | ||
| 3.311 | Spun Up by Switching On | faraday law · angular momentum · torque | ||
| 3.312 | The Squeeze Peaks at Half Current | lr transient · faraday law · ampere force · optimization | ||
| 3.313 | Heat from a Parabolic Flux | faraday law · joule heating | ||
| 3.314 | A Thick Ring as Nested Loops | faraday law · local ohm law · symmetry | ||
| 3.315 | The Diameter Drops Out | self inductance · ampere law | ||
| 3.316 | Inductance Weighed and Measured | self inductance · ampere law · resistance integration | ||
| 3.317 | Halfway After 0.69 Time Constants | lr transient · differential equation | ||
| 3.318 | Only the Copper per Metre Counts | self inductance · ampere law · dimensional analysis | ||
| 3.319 | A Logarithm per Metre of Cable | self inductance · ampere law · magnetic energy | ||
| 3.320 | A Square Section, a Logarithm | self inductance · ampere law · magnetic materials | ||
| 3.321 | Field Trapped Between Two Tapes | self inductance · ampere law · superposition | ||
| 3.322 | Two Wires, Two Logarithms | self inductance · superposition · approximation expansion | ||
| 3.323 | A Superconductor Refuses New Flux | faraday law · self inductance · magnetic energy · work energy | ||
| 3.324 | Stretch the Coil, Raise the Current | self inductance · faraday law · magnetic energy | ||
| 3.325 | Flux Frozen into a Ring | faraday law · self inductance | ||
| 3.326 | Cut the Inductance, Jump the Current | lr transient · self inductance · differential equation | ||
| 3.327 | The Shunt Doubles the Coil's Time | kirchhoff rules · lr transient · differential equation | ||
| 3.328 | Ideal Coils Share by Flux | self inductance · kirchhoff rules · lr transient | ||
| 3.329 | A Logarithm Couples Wire and Frame | mutual inductance · ampere law | ||
| 3.330 | A Wire Threading Every Turn | mutual inductance · ampere law · magnetic materials | ||
| 3.331 | The Easy Way Round Through Reciprocity | mutual inductance · biot savart · magnetic dipole | ||
| 3.332 | A Magnet Weighed by a Charge | faraday law · magnetic dipole · mutual inductance | ||
| 3.333 | Two Distant Loops Couple as Dipoles | mutual inductance · biot savart · approximation expansion | ||
| 3.334 | A Ramp Induces a Steady Current | mutual inductance · lr transient · faraday law | ||
| 3.335 | A Third of the Stored Energy | lr transient · magnetic energy · joule heating | ||
| 3.336 | Flux Times Current Gives the Energy | self inductance · magnetic energy | ||
| 3.337 | Energy Read Off the Iron's Curve | ampere law · magnetic materials · magnetic energy | ||
| 3.338 | The Gap Stores Three Quarters | ampere law · magnetic energy · self inductance · magnetic materials | ||
| 3.339 | Spinning Charge Makes a Solenoid | ampere law · magnetic energy · symmetry | ||
| 3.340 | Electric Field Matching One Tesla | field energy · magnetic energy | ||
| 3.341 | Magnetic Energy Is Relativistically Small | biot savart · coulomb law · magnetic energy · field energy | ||
| 3.342 | Magnetization Work Carries a Half | magnetic energy · magnetic materials | ||
| 3.343 | Coils Combine Like Resistors | self inductance · kirchhoff rules | ||
| 3.344 | Perfect Coupling Gives the Geometric Mean | mutual inductance · self inductance · ampere law | ||
| 3.345 | Interaction Energy Lives in the Overlap | magnetic energy · mutual inductance · superposition | ||
| 3.346 | Small Loop Samples the Center Field | mutual inductance · biot savart · magnetic energy · magnetic dipole | ||
| 3.347 | Leak and Displacement Cancel Exactly | displacement current · gauss law · local ohm law | ||
| 3.348 | A Leak That Makes No Field | displacement current · ampere law · symmetry | ||
| 3.349 | The Lead Current Crosses the Gap | displacement current · capacitance | ||
| 3.350 | Two Currents Out of Step | displacement current · ampere law · local ohm law | ||
| 3.351 | Displacement Current Around a Solenoid | faraday law · displacement current · symmetry | ||
| 3.352 | The Moving Charge's Displacement Current | displacement current · coulomb law · vector decomposition | ||
| 3.353 | Peak Displacement Current at Arrival | displacement current · superposition · optimization | ||
| 3.354 | Biot and Savart from Displacement Current | displacement current · maxwell equations · symmetry · gauss law | ||
| 3.355 | What Maxwell's Equations Forbid | maxwell equations · faraday law · displacement current | ||
| 3.356 | Charge Conservation Inside Maxwell's Equations | maxwell equations · displacement current · gauss law | ||
| 3.357 | Faraday's Law Keeps B Divergence-Free | maxwell equations · faraday law | ||
| 3.358 | The Curl of a Turning Field | faraday law · maxwell equations · rigid body rotation | ||
| 3.359 | One Force, Two Fields | field transformation · frames of reference · lorentz force | ||
| 3.360 | A Moving Plate Charges Its Faces | motional emf · conductor equilibrium · lorentz force | ||
| 3.361 | Charges in a Spinning Metal Cylinder | motional emf · conductor equilibrium · gauss law · lorentz force | ||
| 3.362 | The Slow Charge's Field by Transformation | field transformation · frames of reference · biot savart | ||
| 3.363 | One Field Becomes Two, at Right Angles | field transformation · vector decomposition · lorentz transformation | ||
| 3.364 | A Wire's Field Seen on the Move | field transformation · frames of reference · vector decomposition | ||
| 3.365 | A Moving Observer Sees Circles | field transformation · frames of reference | ||
| 3.366 | Galilean Fields as the Slow Limit | field transformation · approximation expansion · limiting cases | ||
| 3.367 | Only the Cross Part Grows | field transformation · vector decomposition · lorentz transformation | ||
| 3.368 | A Pure Magnetic Field, Seen Moving | field transformation · vector decomposition · lorentz transformation | ||
| 3.369 | What Every Observer Agrees On | field transformation · vector decomposition · lorentz transformation | ||
| 3.370 | The Frame Where Only B Survives | field transformation · frames of reference | ||
| 3.371 | A Fast Charge Flattens Its Field | field transformation · length contraction · coulomb law |