Ampère's Law

Problems

practice

1. Use the Biot-Savart law to determine the magnetic field strength…
   1. a distance r away from an infinitely long current carrying wire
   2. a distance x away from a loop of current with radius a (on the axis of the loop).
   3. anywhere inside a solenoid with n turns per unit length
2. Use Ampére's law to determine the magnetic field strength…
   1. a distance r away from an infinitely long current carrying wire
   2. anywhere on either side of an infinite, flat sheet with a surface current density σ
   3. inside a solenoid with n turns per unit length
   4. inside a toroid (a toroidal solenoid) with a total of N turns
   5. inside a wire of radius R at any distance r from its axis
3. Write something.
4. Write something completely different.

numerical

1. Two parallel wires carry 12 A of current in the same direction as shown in the diagram below. Determine the magnitude and direction of the net magnetic field at each of the three locations (a, b, c) marked with red circles.

   

2. Two parallel wires carry 12 A of current in opposite directions as shown in the diagram below. Determine the magnitude and direction of the net magnetic field at each of the three locations (a, b, c) marked with red circles.