Ch 28: Induction and InductanceWorksheetSee all chapters
All Chapters
Ch 01: Units & Vectors
Ch 02: 1D Motion (Kinematics)
Ch 03: 2D Motion (Projectile Motion)
Ch 04: Intro to Forces (Dynamics)
Ch 05: Friction, Inclines, Systems
Ch 06: Centripetal Forces & Gravitation
Ch 07: Work & Energy
Ch 08: Conservation of Energy
Ch 09: Momentum & Impulse
Ch 10: Rotational Kinematics
Ch 11: Rotational Inertia & Energy
Ch 12: Torque & Rotational Dynamics
Ch 13: Rotational Equilibrium
Ch 14: Angular Momentum
Ch 15: Periodic Motion (NEW)
Ch 15: Periodic Motion (Oscillations)
Ch 16: Waves & Sound
Ch 17: Fluid Mechanics
Ch 18: Heat and Temperature
Ch 19: Kinetic Theory of Ideal Gasses
Ch 20: The First Law of Thermodynamics
Ch 21: The Second Law of Thermodynamics
Ch 22: Electric Force & Field; Gauss' Law
Ch 23: Electric Potential
Ch 24: Capacitors & Dielectrics
Ch 25: Resistors & DC Circuits
Ch 26: Magnetic Fields and Forces
Ch 27: Sources of Magnetic Field
Ch 28: Induction and Inductance
Ch 29: Alternating Current
Ch 30: Electromagnetic Waves
Ch 31: Geometric Optics
Ch 32: Wave Optics
Ch 34: Special Relativity
Ch 35: Particle-Wave Duality
Ch 36: Atomic Structure
Ch 37: Nuclear Physics
Ch 38: Quantum Mechanics
Sections
Induction Experiments
Magnetic Flux
Faraday's Law
Lenz's Law
Motional EMF
Transformers
Mutual Inductance
Self Inductance
Inductors
LR Circuits
LC Circuits
LRC Circuits

Concept #1: Magnetic Flux

Practice: A ring of radius 0.5m lies in the xy-plane. If a magnetic field of magnitude 2 T points at an angle of 22° above the x-axis, what is the magnetic flux through the ring?

Example #1: Magnetic Flux of a Rotating Ring

Additional Problems
A circular coil with a 15 cm radius and 150 loops is oriented in the xy-plane. If a uniform 5 mT magnetic field is oriented 37o above the xy-plane, what is the magnetic flux through the coil?
A circular coil with 200 loops and a radius of 0.15 mm is placed 12 m from a straight, current-carrying wire as shown in the following figure. What is the magnetic flux through the coil? Assume that the magnetic field is roughly constant through the coil, since 12 m >> 0.15 mm.
A 2.0 m conductor is formed into a square and placed in the horizontal xy-plane. A magnetic field is oriented 30.0° above the horizontal with a strength of 3.0 T. What is the magnetic flux through the conductor? A) 6.0 T • m2 B) 0.65 T • m2​ C) 0.75 T • m2​ D) 0.37 T • m2​
Consider a circular loop of radius R in the presence of a uniform magnetic field. Which of the following statements is true? A) Doubling the magnetic field would result in the same change in flux as doubling the radius would. B) Doubling the angle between the magnetic field and the surface will double the magnetic flux. C) Changing the angle between the axis of the coil and the field from 90o to some θ angle would result in the same change in flux as doubling the area of the coil. D) Halving the radius of the coil halves the magnetic flux through the coil. E) None of the above are true.
A circular coil with 150 loops and a radius of 10 cm is initially oriented in a 0.5 mT magnetic field, with the axis of the coil and the field at a 30o angle. After some time, the coil rotates so that the field is at an angle of 40o to the plane of the coil, and the field strength drops to 0.3 mT. What is the change in magnetic flux during this time?
A 2.0 m conductor is formed into a square and placed in the horizontal xy-plane. A magnetic field is oriented 30.0° above the horizontal xy-plane with a strength of 1.0 T. What is the magnetic flux through the conductor?A) 0.25 T•m2B) 0.12 T•m2C) 0.22 T•m2D) 2.0  T•m2
The trig. function of angle φ between vectors  B and A in the magnetic flux should be (sine / cosine) __________
A conducting wire with a total length of 2.0 m is formed into a square and placed in the horizontal xy-plane. A magnetic field is oriented 30.0° above the horizontal with a strength of 10.0 T. What is the magnetic flux through the conductor?A) 2.5 T • m2B) 20 T • m2C) 1.2 T • m2D) 2.2 T • m2