Magnetic field around a straight wire Magnetic Field
![Magnetic field around a straight wire Magnetic field around a straight wire](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-1.jpg)
![Magnetic Field of Two Wires Field at points on the x-axis to the right Magnetic Field of Two Wires Field at points on the x-axis to the right](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-2.jpg)
![Magnetic field of a circular arc Magnetic field of a circular arc](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-3.jpg)
![Magnetic Field of a Circular Current Loop Falls off just as the electric field Magnetic Field of a Circular Current Loop Falls off just as the electric field](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-4.jpg)
![The magnetic field of a (small) loop behaves “on the outside” like the electric The magnetic field of a (small) loop behaves “on the outside” like the electric](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-5.jpg)
![Magnetic force between two parallel conductors with currents Magnetic force between two parallel conductors with currents](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-6.jpg)
![Example: Two straight, parallel, superconducting wires 4. 5 mm apart carry 15, 000 A Example: Two straight, parallel, superconducting wires 4. 5 mm apart carry 15, 000 A](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-7.jpg)
![Ampere’s Law Ampere’s Law](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-8.jpg)
![General Statement Magnetic fields add as vectors, currents – as scalars General Statement Magnetic fields add as vectors, currents – as scalars](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-9.jpg)
![Just as with the integral form of Gauss’s law, the integral form of Ampere’s Just as with the integral form of Gauss’s law, the integral form of Ampere’s](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-10.jpg)
![Magnetic Field of a Solenoid Magnetic Field of a Solenoid](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-11.jpg)
![Field of a toroidal solenoid Field of a toroidal solenoid](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-12.jpg)
![Magnetic Field of a Sheet of Current The field of a magnetic “capacitor” Magnetic Field of a Sheet of Current The field of a magnetic “capacitor”](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-13.jpg)
![Magnetic materials When materials are placed in a magnetic field, they get magnetized. In Magnetic materials When materials are placed in a magnetic field, they get magnetized. In](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-14.jpg)
![The Bohr Magnetron The Bohr Magnetron](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-15.jpg)
![Magnetization Magnetization](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-16.jpg)
![• Diamagnetism occurs in substances where magnetic moments inside atoms all cancel out, • Diamagnetism occurs in substances where magnetic moments inside atoms all cancel out,](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-17.jpg)
![Example: Magnetic dipoles in a paramagnetic material Nitric oxide (NO) is a paramagnetic compound. Example: Magnetic dipoles in a paramagnetic material Nitric oxide (NO) is a paramagnetic compound.](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-18.jpg)
![Ferromagnetism • In ferromagnetic materials, in addition to atoms having uncompensated magnetic moments, these Ferromagnetism • In ferromagnetic materials, in addition to atoms having uncompensated magnetic moments, these](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-19.jpg)
- Slides: 19
![Magnetic field around a straight wire Magnetic field around a straight wire](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-1.jpg)
Magnetic field around a straight wire
![Magnetic Field of Two Wires Field at points on the xaxis to the right Magnetic Field of Two Wires Field at points on the x-axis to the right](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-2.jpg)
Magnetic Field of Two Wires Field at points on the x-axis to the right of point (3) Magnetic field outside of a conductor pair falls off more rapidly
![Magnetic field of a circular arc Magnetic field of a circular arc](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-3.jpg)
Magnetic field of a circular arc
![Magnetic Field of a Circular Current Loop Falls off just as the electric field Magnetic Field of a Circular Current Loop Falls off just as the electric field](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-4.jpg)
Magnetic Field of a Circular Current Loop Falls off just as the electric field of the electric dipole Magnetic Field on the Axis of a Coil
![The magnetic field of a small loop behaves on the outside like the electric The magnetic field of a (small) loop behaves “on the outside” like the electric](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-5.jpg)
The magnetic field of a (small) loop behaves “on the outside” like the electric field of the electric dipole of the same orientation – that’s why “magnetic dipole”.
![Magnetic force between two parallel conductors with currents Magnetic force between two parallel conductors with currents](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-6.jpg)
Magnetic force between two parallel conductors with currents
![Example Two straight parallel superconducting wires 4 5 mm apart carry 15 000 A Example: Two straight, parallel, superconducting wires 4. 5 mm apart carry 15, 000 A](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-7.jpg)
Example: Two straight, parallel, superconducting wires 4. 5 mm apart carry 15, 000 A current each in opposite directions Should we carry about the mechanical strength of the wires?
![Amperes Law Ampere’s Law](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-8.jpg)
Ampere’s Law
![General Statement Magnetic fields add as vectors currents as scalars General Statement Magnetic fields add as vectors, currents – as scalars](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-9.jpg)
General Statement Magnetic fields add as vectors, currents – as scalars
![Just as with the integral form of Gausss law the integral form of Amperes Just as with the integral form of Gauss’s law, the integral form of Ampere’s](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-10.jpg)
Just as with the integral form of Gauss’s law, the integral form of Ampere’s law is powerful to use in symmetric situations
![Magnetic Field of a Solenoid Magnetic Field of a Solenoid](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-11.jpg)
Magnetic Field of a Solenoid
![Field of a toroidal solenoid Field of a toroidal solenoid](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-12.jpg)
Field of a toroidal solenoid
![Magnetic Field of a Sheet of Current The field of a magnetic capacitor Magnetic Field of a Sheet of Current The field of a magnetic “capacitor”](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-13.jpg)
Magnetic Field of a Sheet of Current The field of a magnetic “capacitor”
![Magnetic materials When materials are placed in a magnetic field they get magnetized In Magnetic materials When materials are placed in a magnetic field, they get magnetized. In](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-14.jpg)
Magnetic materials When materials are placed in a magnetic field, they get magnetized. In majority of materials, the magnetic effects are small. Some however show strong responses. The small magnetism is of two kinds: • Diamagnetics are repelled from magnetic fields • Paramagnetics are attracted towards magnetic fields This is unlike the electric effect in matter, which always causes dielectrics to be attracted.
![The Bohr Magnetron The Bohr Magnetron](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-15.jpg)
The Bohr Magnetron
![Magnetization Magnetization](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-16.jpg)
Magnetization
![Diamagnetism occurs in substances where magnetic moments inside atoms all cancel out • Diamagnetism occurs in substances where magnetic moments inside atoms all cancel out,](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-17.jpg)
• Diamagnetism occurs in substances where magnetic moments inside atoms all cancel out, the net magnetic moment of the atom is zero. The induced magnetic moment is directed opposite to the applied field. Diamagnetism is weakly dependent on T. • Diamagnetic (induced atomic moment) effect is overcome in paramagnetic materials, whose atoms have uncompensated magnetic moments. These moments align with the applied field to enhance the latter. Temperature T wants to destroy alignment, hence a strong (1/T) dependence. Magnetic effects are a completely quantum-mechanical phenomenon, although some classical physics arguments can be made.
![Example Magnetic dipoles in a paramagnetic material Nitric oxide NO is a paramagnetic compound Example: Magnetic dipoles in a paramagnetic material Nitric oxide (NO) is a paramagnetic compound.](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-18.jpg)
Example: Magnetic dipoles in a paramagnetic material Nitric oxide (NO) is a paramagnetic compound. Its molecules have maximum magnetic moment of ~ m. B. In a magnetic field B=1. 5 Tesla, compare the interaction energy of the magnetic moments with the field to the average translational kinetic energy of the molecules at T=300 K.
![Ferromagnetism In ferromagnetic materials in addition to atoms having uncompensated magnetic moments these Ferromagnetism • In ferromagnetic materials, in addition to atoms having uncompensated magnetic moments, these](https://slidetodoc.com/presentation_image/18fb44f5611f557fef2d9664527d163a/image-19.jpg)
Ferromagnetism • In ferromagnetic materials, in addition to atoms having uncompensated magnetic moments, these moments strongly interact between themselves. • Strongly nonlinear behavior with remnant magnetization left when the applied field is lifted. Permeability Km is much larger, ~1, 000 to 100, 000 Alignment of magnetic domains in applied field
Magnetic field in long straight wire
A circular loop of wire is in a region of spatially uniform
Electric field due to infinitely long straight wire
Magnetic field outside a wire
Magnetic field of a finite wire
Magnetic field of a finite wire
Magnetic field equation wire
Magnetic force
Magnetic field biot savart law
Magnetic moment and magnetic field relation
Air gap length formula
F=i(lxb)
A single wire wrap into a cylindrical wire coil is called
Magnitude of magnetic force
Difference between electric field and magnetic field
Electric field and magnetic field difference
Lorentz force
Go straight on the street
Examples of what goes around comes around
Martin luther king of hinduism