3.2 Conductors & Dielectrics

Irodov Problems 3.54 to 3.100.

47problems
106figures
Difficulty2.4avgDifficulty: 1 rated 1, 30 rated 2, 14 rated 3, 2 rated 4, 0 rated 5; mean 2.4.
Uniqueness3.0avgUniqueness: 0 rated 1, 13 rated 2, 23 rated 3, 10 rated 4, 1 rated 5; mean 3.0.

No.	Title	Difficulty	Uniqueness	Methods
3.54	The Image Stretches the Thread	Difficulty 2 of 5	Uniqueness 2 of 5	method of images · coulomb law · stability analysis
3.55	Half the Energy of the Pair	Difficulty 2 of 5	Uniqueness 4 of 5	method of images · work energy · field energy
3.56	Four Charges on a Square	Difficulty 3 of 5	Uniqueness 3 of 5	method of images · superposition · vector decomposition
3.57	The Third Image Pushes Back	Difficulty 3 of 5	Uniqueness 3 of 5	method of images · coulomb law · superposition · symmetry
3.58	A Dipole Facing Its Twin	Difficulty 3 of 5	Uniqueness 3 of 5	method of images · electric dipole · approximation expansion
3.59	Where the Flux of q Lands	Difficulty 2 of 5	Uniqueness 2 of 5	method of images · conductor equilibrium · superposition
3.60	A Line Charge and Its Mirror	Difficulty 2 of 5	Uniqueness 2 of 5	method of images · gauss law · conductor equilibrium
3.61	A Thread Standing on Its Image	Difficulty 3 of 5	Uniqueness 3 of 5	method of images · superposition · conductor equilibrium
3.62	A Ring Above Its Own Reflection	Difficulty 2 of 5	Uniqueness 3 of 5	method of images · superposition · electric potential
3.63	Ask the Center, Not the Surface	Difficulty 2 of 5	Uniqueness 4 of 5	conductor equilibrium · electric potential · superposition · method of images
3.64	Only the Totals Reach the Center	Difficulty 2 of 5	Uniqueness 3 of 5	conductor equilibrium · gauss law · superposition · electric potential
3.65	Zero Potential, Yet Still Charged	Difficulty 2 of 5	Uniqueness 2 of 5	electric potential · superposition · conductor equilibrium · gauss law
3.66	The Floating Pair Splits the Voltage	Difficulty 2 of 5	Uniqueness 3 of 5	conductor equilibrium · gauss law · capacitor networks · electric potential
3.67	Smear the Charge into a Sheet	Difficulty 3 of 5	Uniqueness 5 of 5	superposition · gauss law · conductor equilibrium · symmetry
3.68	A Charge Feels Only Half the Field	Difficulty 2 of 5	Uniqueness 4 of 5	electrostatic force · gauss law · superposition · conductor equilibrium
3.69	Pressure over a Projected Disc	Difficulty 2 of 5	Uniqueness 3 of 5	electrostatic force · symmetry · field energy
3.70	The Field Stretches the Ball	Difficulty 3 of 5	Uniqueness 3 of 5	electrostatic force · symmetry · conductor equilibrium
3.71	One Molecule in Three Thousand	Difficulty 2 of 5	Uniqueness 3 of 5	dielectric polarization · dimensional analysis
3.72	An Induced Dipole Rides the Gradient	Difficulty 2 of 5	Uniqueness 3 of 5	electric dipole · dielectric polarization · electrostatic force
3.73	A Molecule Seeks the Strongest Field	Difficulty 3 of 5	Uniqueness 3 of 5	electric dipole · dielectric polarization · optimization · superposition
3.74	Bound Charge Hugs the Point Charge	Difficulty 2 of 5	Uniqueness 3 of 5	gauss law · dielectric polarization · symmetry
3.75	A Dielectric Skin Screens the Conductor	Difficulty 2 of 5	Uniqueness 2 of 5	dielectric boundary · dielectric polarization · gauss law · conductor equilibrium
3.76	Bound Charge Ignores the Shape	Difficulty 2 of 5	Uniqueness 3 of 5	gauss law · dielectric polarization · conductor equilibrium
3.77	Two Ways to Charge a Shell	Difficulty 2 of 5	Uniqueness 2 of 5	gauss law · electric potential · dielectric boundary · symmetry
3.78	Field Bends Away Inside Glass	Difficulty 2 of 5	Uniqueness 3 of 5	dielectric boundary · gauss law · dielectric polarization
3.79	Flux and Circulation at a Boundary	Difficulty 2 of 5	Uniqueness 3 of 5	dielectric boundary · gauss law · dielectric polarization
3.80	A Charged Plate Screens Itself	Difficulty 2 of 5	Uniqueness 2 of 5	gauss law · electric potential · dielectric polarization · symmetry
3.81	A Charged Dielectric Ball Inside Out	Difficulty 2 of 5	Uniqueness 2 of 5	gauss law · electric potential · dielectric polarization · symmetry
3.82	A Thin Disc Barely Depolarizes	Difficulty 3 of 5	Uniqueness 3 of 5	dielectric polarization · superposition · symmetry
3.83	No Free Charge, No Displacement	Difficulty 3 of 5	Uniqueness 3 of 5	dielectric polarization · gauss law · electric potential
3.84	Series Layers Share One Displacement	Difficulty 2 of 5	Uniqueness 2 of 5	dielectric boundary · capacitance · gauss law
3.85	Side by Side, One Field	Difficulty 2 of 5	Uniqueness 2 of 5	dielectric boundary · capacitance · gauss law
3.86	Half Filled, Still Radial	Difficulty 3 of 5	Uniqueness 3 of 5	gauss law · dielectric boundary · symmetry
3.87	Buoyancy Pays for the Weaker Repulsion	Difficulty 2 of 5	Uniqueness 4 of 5	coulomb law · free body · hydrostatics
3.88	Bound Charge Seen Through a Shadow	Difficulty 2 of 5	Uniqueness 2 of 5	dielectric polarization · symmetry
3.89	The Charge a Dielectric Gathers	Difficulty 4 of 5	Uniqueness 4 of 5	dielectric boundary · dielectric polarization · superposition
3.90	Pulled by Its Own Bound Charge	Difficulty 3 of 5	Uniqueness 3 of 5	coulomb law · superposition · method of images · symmetry
3.91	One Field Shared by Two Media	Difficulty 2 of 5	Uniqueness 4 of 5	gauss law · dielectric boundary · symmetry · electric potential
3.92	Image Charges Across a Dielectric Face	Difficulty 4 of 5	Uniqueness 4 of 5	method of images · dielectric boundary · limiting cases
3.93	Bound Charge Against a Metal Wall	Difficulty 3 of 5	Uniqueness 3 of 5	method of images · dielectric polarization · conductor equilibrium
3.94	A Shorted Electret Opposes Itself	Difficulty 3 of 5	Uniqueness 4 of 5	dielectric polarization · dielectric boundary · electric potential
3.95	Uniform Charge from Growing Polarization	Difficulty 1 of 5	Uniqueness 2 of 5	dielectric polarization · gauss law
3.96	Two Shifted Balls Make One Field	Difficulty 3 of 5	Uniqueness 4 of 5	dielectric polarization · superposition · gauss law · electric dipole
3.97	Removing a Ball Adds a Field	Difficulty 2 of 5	Uniqueness 4 of 5	dielectric polarization · superposition
3.98	A Dielectric Ball Weakens Its Field	Difficulty 2 of 5	Uniqueness 3 of 5	dielectric polarization · superposition · limiting cases
3.99	A Cylinder Depolarizes by One Half	Difficulty 2 of 5	Uniqueness 3 of 5	dielectric polarization · superposition · gauss law
3.100	A Dielectric Cylinder Across a Field	Difficulty 2 of 5	Uniqueness 2 of 5	dielectric polarization · superposition · limiting cases