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Lecture 6: Ampere's Law
February 1, 2018
Reading Assignment
- Read: 26.8
- Study: Eq 26.17; Exs. 26.7, 26.8, 26.9; Fig 26.34
Objectives
- (Continuing objective) Describe applications of the concepts of electricity and magnetism to everyday ``real-life'' situations.
- Distinguish and correctly use the expressions for the magnetic field for each of these special situations: (a) at the center of a circular loop or finite arcs of a circular loop; (b) inside and just outside the central region of a very long solenoid, (c) outside a wire segment or long straight wire. Use these and superposition to find the total B-field due to a combination of sources.
- Use Ampere's Law to relate the loop integral of $\vec{B}$ (circulation) to the net encircled current.
- Use Ampere's Law to calculate the magnetic fields due to symmetric steady currents.
Homework
- Friday's Assigned Problems:
A21, A22, A111; CH 26: 11, 37, 65, 67, 71, 75;
NOTE: Error in A111. For part (c), it should be 2.5 mm, not 5.0 mm. Answer for A111: a) 0.10 mT; b) 0.20 mT; c) 0.1 mT.
- Monday's Hand-In Problems:
CH 26: 32, 36, 38, 54, 62, 66, 68, 70, 76, 80
Notes: For CH 26 #62, sketch the end-on view so 3 wires are shown as dots in an equilateral triangle, each carrying current out of the page. First find B at the top wire DUE to currents in the other two wires. (You can assume the field from each wire as though the wire were infinitely long.) Then find the force.