
The generator coil shown in Figure 23.20 is rotated through one-fourth of a revolution (from ºθ=0ºθ=0º to ºθ=90ºθ=90º) in 15.0 MS The 200-turn circular coil has a 5.00 cm radius and is in a uniform 1.25 T magnetic field. What is the average emf induced? . We use Faraday’s law of induction to find the average emf induced over a time ΔtΔtsize 12{Δt} {}: We know that N=200N=200size 12{N="200"} {} and Δt=15.0msΔt=15.0mssize 12{Δt="15" "." 0`"ms"} {}, and so we must. . Since the area of the loop and the magnetic field strength are constant, we see that Now, Δ(cosθ)=−1.0Δ(cosθ)=−1.0size. [pdf]
The electricity is produced by spinning a coil of wire inside a magnetic field. When a fluid (air, steam, water) is forced through the pipe, it spins the fan blades, which in turn spin the axle. To generate electricity, the axle of a turbine is attached to the loop of wire in a generator.
Many different types of electricity generators do not use turbines to generate electricity. The most common in use today are solar photovoltaic (PV) systems and internal-combustion engines. Solar photovoltaic cells convert sunlight directly into electricity.
To generate electricity, the axle of a turbine is attached to the loop of wire in a generator. When a fluid is forced through the turbine, the fan blades turn, the turbine axle turns, and the loop of wire inside the generator turns—thus generating electricity.
A basic electromagnetic generator has a series of insulated wire coils that form a stationary cylinder—called a stator —surrounding an electromagnetic shaft—called a rotor. Turning the rotor makes an electric current flow in each section of the wire coil, and each section becomes a separate electric conductor.
The greater the number of coils, the larger their area, and the stronger the field, the greater the output voltage. It is interesting that the faster the generator is spun (greater \ (\omega \)), the greater the emf. This is noticeable on bicycle generators—at least the cheaper varieties.
2. Figure 23.8.2 23.8. 2: A generator with a single rectangular coil rotated at constant angular velocity in a uniform magnetic field produces an emf that varies sinusoidally in time. Note the generator is similar to a motor, except the shaft is rotated to produce a current rather than the other way around.
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