Physics for Scientists and Engineers II, Summer Semester 2009 1 Lecture 12: June 17 th 2009 Physics for Scientists and Engineers II.

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Presentation transcript:

Physics for Scientists and Engineers II, Summer Semester Lecture 12: June 17 th 2009 Physics for Scientists and Engineers II

Physics for Scientists and Engineers II, Summer Semester The Hall Effect d t y x z + - When positive charge carriers contribute to current I: Positive charges are deflected up. When negative charge carriers contribute to current I: Negative charges are deflected up.

Physics for Scientists and Engineers II, Summer Semester The Hall Effect (for Positive Charge Carriers) d t y x z

Physics for Scientists and Engineers II, Summer Semester The Hall Effect – what you can get from it.

Physics for Scientists and Engineers II, Summer Semester History

Physics for Scientists and Engineers II, Summer Semester The Biot-Savart Law

Physics for Scientists and Engineers II, Summer Semester An Example: Calculate the Magnetic Field at the Center of a Circular Conductor Carrying a Current I x y z

Physics for Scientists and Engineers II, Summer Semester An Example: Calculate the Magnetic Field at the Center of a Semicircular Conductor Carrying a Current I x y z Infinitely long straight sections

Physics for Scientists and Engineers II, Summer Semester An Example: Calculate the Magnetic Field at Point P x y z

Physics for Scientists and Engineers II, Summer Semester An Example:

Physics for Scientists and Engineers II, Summer Semester An Example: Calculate the Magnetic Field at Point P x y z

Physics for Scientists and Engineers II, Summer Semester Magnetic Force Between Two Parallel Conductors

Physics for Scientists and Engineers II, Summer Semester Now Place a Second Current Parallel to it…..

Physics for Scientists and Engineers II, Summer Semester Or, the force on the first wire…..

Physics for Scientists and Engineers II, Summer Semester The Definition of 1 Ampere When the magnitude of the force per unit length between two long, parallel wires that carry identical currents and are separated by 1m is 2x10 -7 N/m, the current in each wire is defined to be 1 A.

Physics for Scientists and Engineers II, Summer Semester Ampere’s Law Top View

Physics for Scientists and Engineers II, Summer Semester Ampere’s Law Top View

Physics for Scientists and Engineers II, Summer Semester Ampere’s Law