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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?
The circuit below is a square with sides L and is placed in a magnetic field directed into the screen. Attached to the circuit are two light bulbs of resistance R \(\Omega\). The magnetic field is described by the function B(t) = at + b. What is the current in the circuit and in what direction does it flow. Also how much power is dissipated in light bulb 1.