A generator connected to the wheel or hub of a bicycle can be used to power lights or small electronic devices. A typical bicycle generator supplies 6.00 V when the wheels rotate at $\omega=20.0$ rad/s. If the generator's magnetic field has magnitude B = 0.600 T with N = 100 turns, find the loop area A.

Considerable scientific work is currently under way to determine whether weak oscillating magnetic fields such as those found near outdoor electric power lines can affect human health. One study indicated that a magnetic field of magnitude $1.0 \times 10 ^ { - 3 }$ T, oscillating at 60 Hz, might stimulate red blood cells to become cancerous. If the diameter of a red blood cell is 8.0 $\mu \mathrm { m }$, determine the maximum emf that can be generated around the perimeter of the cell.

In one of NASA's space tether experiments, a 20.0-km long conducting wire was deployed by the space shuttle as it orbited at 7860 m/s around earth and across earth's magnetic field lines. The resulting motional emf was used as a power source. If the component of earth's magnetic field perpendicular to the tether was $1.50 \times 10^{-5} \mathrm{~T}$, determine the maximum possible potential difference between the two ends of the tether.

A pickup truck has a width of 79.8 in. If it is traveling north at 37 m/s through a magnetic field with vertical component of 35 $\mu \mathrm { T }$, what magnitude emf is induced between the driver and passenger sides of the truck?

Inductive charging is used to wirelessly charge electronic devices ranging from toothbrushes to cell phones. Suppose the base unit of an inductive charger produces a $1.00 \times 10^{- 3}$-T magnetic field. Varying this magnetic field magnitude changes the flux through a 15.0-turn circular loop in the device, creating an emf that charges its batter y. Suppose the loop area is $3.00 \times 10^{-4} \mathrm{m}^{2}$ and the induced emf has an average magnitude of 5.00 V. Calculate the time required for the magnetic field to decrease to zero from its maximum value.

A flat coil enclosing an area of 0.10 $m^2$ is rotating at 60 rev/s, with its axis of rotation perpendicular to a 0.20-T magnetic field. If there are 1 000 turns on the coil, what is the maximum voltage induced in the coil?

A magnetic field of magnitude 0.300 T is oriented perpendicular to the plane of a circular loop. Calculate the new magnetic flux if the loop radius is doubled.

A technician wearing a circular metal band on his wrist moves his hand into a uniform magnetic field of magnitude 2.5 T in a time of 0.18 s. If the diameter of the band is 6.5 cm and the field is at an angle of $45 ^ { \circ }$ with the plane of the metal band while the hand is in the field, find the magnitude of the average emf induced in the band.

A magnetic field of magnitude 0.300 T is oriented perpendicular to the plane of a circular loop. Calculate the loop radius if the magnetic flux through the loop is 2.70 Wb.

A 30-cm -tall, 4.0 -cm-diameter plastic tube has a sealed bottom. 250 g of lead pellets are poured into the bottom of the tube, whose mass is 30 g, then the tube is lowered into a liquid. The tube floats with 5.0 cm extending above the surface. What is the density of the liquid?

What is the magnetic field strength at the center of the semicircle.

A 100-turn square coil of side 20.0 cm rotates about a vertical axis at $1.50 \times 10^{3}$ rev/min. The horizontal component of the Earth’s magnetic field at the coil’s location is equal to $2.00 \times 10^{-5} \mathrm{T}.$ (a) Calculate the maximum emf induced in the coil by this field. (b) What is the orientation of the coil with respect to the magnetic field when the maximum emf occurs?

A uniform magnetic field of magnitude 0.50 T is directed perpendicular to the plane of a rectangular loop having dimensions 8.0 cm by 12 cm. Find the magnetic flux through the loop.

A long, straight wire carrying a current of 2.00 A is placed along the axis of a cylinder of radius 0.500 m and a length of 3.00 m. Determine the total magnetic flux through the cylinder.