Lenz's Law

As a steel guitar string vibrates, the component of the magnetic field perpendicular to the area of a pickup coil nearby is given by B(t) = 50 mT + (3.20 mT) Sin (1046$\cdot\pi$t). The circular pickup coil has 30 turns, a radius of 2.70 mm, and a resistance of 0.10 $\Omega$. What is the magnitude of the maximum current induced in the coil?

A square coil, with dimensions l = 12.0 cm, w = 7.0 cm, is placed d = 3.0 cm above a wire that carries a current of 30.0 A. Find the magnetic flux through the wire.

A circular loop of wire is moving downwards towards a magnet as shown below. Find the direction of the induced current (viewed from above) as:

A. the loop approaches the north pole

B. the loop moves past the south pole

A conductive ring is falling through a magnetic field as shown below.

A. Sketch the direction of the induced current at each location

B. Where is the induced current the greatest?