What is the magnetic flux through an equilateral triangle with side \(60 \mathrm{~cm},\) long, whose plane makes a 60 degree angle with a uniform magnetic field of \(0.33 \mathrm{~T}\text{?}\)
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.
Write a short paragraph discussing how a changing magnetic field can result in an induced current. As part of your description, highlight specific activities you completed this week.