3.7 Charged Particles in Fields

Irodov Problems 3.372 to 3.407.

36problems
66figures
Difficulty2.7avgDifficulty: 0 rated 1, 15 rated 2, 16 rated 3, 5 rated 4, 0 rated 5; mean 2.7.
Uniqueness3.1avgUniqueness: 0 rated 1, 10 rated 2, 13 rated 3, 12 rated 4, 1 rated 5; mean 3.1.

No.	Title	Difficulty	Uniqueness	Methods
3.372	A Ramp Voltage Launches an Electron	Difficulty 2 of 5	Uniqueness 3 of 5	newton second law · calculus of motion · charged particle motion
3.373	Deflection by a Growing Field	Difficulty 2 of 5	Uniqueness 3 of 5	charged particle motion · newton second law · energy conservation · vector decomposition
3.374	Turning Back in a Sloping Field	Difficulty 2 of 5	Uniqueness 2 of 5	work energy · charged particle motion · differential equation
3.375	When Kinetic Energy Equals Rest Energy	Difficulty 2 of 5	Uniqueness 2 of 5	relativistic dynamics · charged particle motion · impulse
3.376	Acceleration Falls as Gamma Cubed	Difficulty 3 of 5	Uniqueness 3 of 5	relativistic dynamics · charged particle motion · newton second law
3.377	Sideways Push Slows the Forward Speed	Difficulty 3 of 5	Uniqueness 4 of 5	relativistic dynamics · charged particle motion · vector decomposition · energy conservation
3.378	Bending Through a Magnetic Slab	Difficulty 2 of 5	Uniqueness 2 of 5	lorentz force · charged particle motion · circular motion
3.379	Same Orbit, Proton and Electron	Difficulty 2 of 5	Uniqueness 2 of 5	lorentz force · charged particle motion · relativistic dynamics · circular motion
3.380	Momentum Read from the Orbit	Difficulty 2 of 5	Uniqueness 2 of 5	lorentz force · relativistic dynamics · charged particle motion · circular motion
3.381	When the Cyclotron Clock Starts Slowing	Difficulty 2 of 5	Uniqueness 3 of 5	relativistic dynamics · charged particle motion · lorentz force
3.382	Pitch from the Speed-Blind Period	Difficulty 2 of 5	Uniqueness 2 of 5	charged particle motion · lorentz force · energy conservation · vector decomposition
3.383	Two Focusing Fields Weigh the Charge	Difficulty 3 of 5	Uniqueness 4 of 5	charged particle motion · lorentz force · energy conservation · vector decomposition
3.384	A Chord Measures the Landing Spot	Difficulty 3 of 5	Uniqueness 3 of 5	charged particle motion · lorentz force · vector decomposition · circular motion
3.385	The Wire Field Pulls the Electron Back	Difficulty 4 of 5	Uniqueness 5 of 5	lorentz force · charged particle motion · ampere law · differential equation
3.386	Energy Filter Then Momentum Filter	Difficulty 3 of 5	Uniqueness 3 of 5	charged particle motion · gauss law · lorentz force · circular motion
3.387	The Magnetic Clock Times a Fall	Difficulty 3 of 5	Uniqueness 4 of 5	lorentz force · charged particle motion · vector decomposition · circular motion
3.388	One Parabola for Every Speed	Difficulty 4 of 5	Uniqueness 4 of 5	charged particle motion · lorentz force · vector decomposition · approximation expansion
3.389	A Velocity Selector Sets the Push	Difficulty 2 of 5	Uniqueness 2 of 5	lorentz force · momentum flux · charged particle motion
3.390	Only the Cross-Field Speed Is Fixed	Difficulty 3 of 5	Uniqueness 3 of 5	lorentz force · charged particle motion · vector decomposition
3.391	A Straight Beam Fixes the Speed	Difficulty 2 of 5	Uniqueness 3 of 5	lorentz force · charged particle motion · projectile
3.392	The Cycloid of Crossed Fields	Difficulty 3 of 5	Uniqueness 3 of 5	lorentz force · charged particle motion · differential equation · frames of reference
3.393	The Filament Field Turns Electrons Back	Difficulty 4 of 5	Uniqueness 4 of 5	ampere law · lorentz force · charged particle motion · energy conservation
3.394	Angular Momentum Sets the Cutoff Field	Difficulty 4 of 5	Uniqueness 4 of 5	angular momentum · lorentz force · charged particle motion · energy conservation
3.395	A Resonant Push Unwinds a Spiral	Difficulty 4 of 5	Uniqueness 4 of 5	lorentz force · charged particle motion · differential equation · approximation expansion
3.396	Orbit Spacing Sets the Dee Voltage	Difficulty 3 of 5	Uniqueness 3 of 5	charged particle motion · circular motion · energy conservation · approximation expansion
3.397	Field and Radius Cap the Energy	Difficulty 2 of 5	Uniqueness 2 of 5	charged particle motion · circular motion · lorentz force
3.398	Counting the Turns of a Cyclotron	Difficulty 3 of 5	Uniqueness 3 of 5	charged particle motion · energy conservation · approximation expansion · circular motion
3.399	One Rest Energy per Gap Crossing	Difficulty 3 of 5	Uniqueness 4 of 5	charged particle motion · relativistic dynamics · circular motion
3.400	Detuning the Drive to Keep Step	Difficulty 3 of 5	Uniqueness 3 of 5	charged particle motion · relativistic dynamics · differential equation
3.401	The Orbit That Threads the Axis	Difficulty 3 of 5	Uniqueness 4 of 5	faraday law · charged particle motion · impulse · lorentz force
3.402	Millions of Turns at Five Volts	Difficulty 2 of 5	Uniqueness 2 of 5	faraday law · charged particle motion · work energy
3.403	The Betatron's One-Half Rule	Difficulty 3 of 5	Uniqueness 4 of 5	faraday law · lorentz force · relativistic dynamics · charged particle motion
3.404	Where Field Equals Half Its Mean	Difficulty 2 of 5	Uniqueness 3 of 5	charged particle motion · faraday law · symmetry
3.405	Eddy Field Extremal on the Orbit	Difficulty 3 of 5	Uniqueness 4 of 5	faraday law · optimization · symmetry
3.406	A Hundred Volts per Turn	Difficulty 2 of 5	Uniqueness 2 of 5	faraday law · charged particle motion · work energy
3.407	Path Length Is Energy over Force	Difficulty 3 of 5	Uniqueness 4 of 5	relativistic dynamics · charged particle motion · work energy · faraday law