Magnetic Flux

A magnetic field increases with time as described by the function, B(t) = 4 + 6t. Given a coil with 880 turns, N = 880, and an area A = (.05m)$^2$, find the induced voltage in the coil.

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 rectangular wire loop rests in a magnetic field as shown. Points Y and Z are grasped and pulled tight so that the area of the loop becomes zero. Determine the direction of the current through the resistor.

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