Learning Introductory Physics with Activities

Use the Biot-Savart law to find the magnetic field strength at the center of the semicircle in the figure above.

Consider the magnetic field created by an infinitely long solenoid with radius \(R\) and \(n\) coils per unit length carrying a steady clockwise current \(I\text{.}\) Starting from the assumption that the magnetic field everywhere in space must point in either the positive or negative \(z\)-direction (parallel to the axis of the solenoid), use Ampere’s Law to determine the magnitude and direction of this magnetic field.