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More Examples of Biot-Savart & Ampère’s Law

More Examples of Biot-Savart & Ampère’s Law. Recall:. Biot-Savart Law: Ampere’s Law:.

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More Examples of Biot-Savart & Ampère’s Law

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  1. More Examples of Biot-Savart &Ampère’s Law

  2. Recall: Biot-Savart Law: Ampere’s Law:

  3. Quiz: A light, loose spiral spring carrying no current is hung from a ceiling. When a switch is closed so that a circuit exists in the spring, do the coils:a) move farther apartb) move closer togetherc) do not move at all

  4. Example 1: A very long straight wire carries current I. In the middle of the wire a right-angle bend is made. The bend forms an arc of a circle of radius r, as shown below. Determine the magnetic field at the center of the arc.

  5. Solution

  6. Example 2: A closed current path shaped as shown below produces a magnetic field at P. If the arc subtends an angle of 300 and the total length of the wire is 1.2m, what are the magnitude and direction of the field produced at P if the current in the loop is 3.0 A ? 300 P

  7. Solution

  8. Example 3: For the arrangement shown in the figure below, the current in the long, straight wire has value I1=5 A and lies in the plane of the rectangular loop, which carries a current I2=10 A. The dimensions are a=0.15m, c=0.1m and L=0.45m.Find the net force exerted on the rectangle by the magnetic field of the straight current-carrying conductor. I2 L I1 c a

  9. Solution

  10. Example 4: A long cylindrical conductor of radius R carries a current I. The current density J, however, is not uniform over the conductor but is a function of radius according to J=br, where b is a constant.Find an expression for the magnetic field B at:a) r<Rb) r>R

  11. Solution

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